https://rankdeterminant.com/ https://rankdeterminant.com/v/ https://rankdeterminant.com/learn/ https://rankdeterminant.com/test/ https://rankdeterminant.com/v/chem-u1-ch1-c1https://rankdeterminant.com/media/v/chem-u1-ch1-c1.jpg?v=8adbdfdd09Matter and its Classification | JEE Chemistry (English)Pure substance or mixture? Elements, compounds, homogeneous and heterogeneous mixtures, separation by physical methods, physical versus chemical change, and intensive versus extensive properties with the topper's ratio trick. Two solved JEE-style problems: classifying milk, brass, dry ice and 22-carat gold, and the specific heat trap.https://rankdeterminant.com/media/v/chem-u1-ch1-c1.mp4?v=8adbdfdd095662026-10-13yes https://rankdeterminant.com/v/chem-u1-ch1-c2https://rankdeterminant.com/media/v/chem-u1-ch1-c2.jpg?v=d16f086943Physical Quantities, SI Units and Unit Conversion | JEE Chemistry (English)The seven SI base units, the prefixes from pico to giga, and the conversions every chemistry student needs: litre to mL and cubic metre, density from g/mL to kg per cubic metre, Celsius to kelvin and Fahrenheit, the angstrom, atm to pascal, bar and mm Hg, the topper's factor-label trick, and two solved JEE problems with the classic traps.https://rankdeterminant.com/media/v/chem-u1-ch1-c2.mp4?v=d16f0869435282026-10-13yes https://rankdeterminant.com/v/chem-u1-ch1-c3https://rankdeterminant.com/media/v/chem-u1-ch1-c3.jpg?v=27939609f3Scientific Notation and Significant Figures | JEE Chemistry (English)How to count significant figures (leading, trailing and in-between zeros), write numbers in scientific notation, round off when the dropped digit is exactly 5, and apply the rules for addition, subtraction, multiplication and division. Also exact numbers, accuracy vs precision, the round-once rule, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u1-ch1-c3.mp4?v=27939609f35162026-10-13yes https://rankdeterminant.com/v/chem-u1-ch1-c4https://rankdeterminant.com/media/v/chem-u1-ch1-c4.jpg?v=f941f2eb4bLaws of Chemical Combination | JEE Chemistry (English)The three laws of chemical combination for JEE: conservation of mass (Lavoisier), definite proportions (Proust) and multiple proportions (Dalton), the topper's fix-one-element trick, where the laws fail (non-stoichiometric Fe0.95O, H2O and D2O, nuclear reactions), and two solved problems on burning magnesium and the two oxides of sulphur.https://rankdeterminant.com/media/v/chem-u1-ch1-c4.mp4?v=f941f2eb4b4902026-10-13yes https://rankdeterminant.com/v/chem-u1-ch1-c5https://rankdeterminant.com/media/v/chem-u1-ch1-c5.jpg?v=62014f3554Gay-Lussac's Law, Avogadro's Law and Dalton's Atomic Theory | JEE Chemistry (English)Gay-Lussac's law of gaseous volumes, Avogadro's law (at the same T and P, volume ratios are mole ratios) and Dalton's atomic theory: its four postulates, what it explained, why it failed for gas volumes, and which parts are untrue today (isotopes, isobars, nuclear reactions). Two solved JEE-style problems, including why hydrogen and chlorine must be diatomic.https://rankdeterminant.com/media/v/chem-u1-ch1-c5.mp4?v=62014f35545122026-10-13yes https://rankdeterminant.com/v/chem-u1-ch10-c1https://rankdeterminant.com/media/v/chem-u1-ch10-c1.jpg?v=1990717227-2220dcOverview | JEE Chemistry (English)How to use the Some Basic Concepts in Chemistry problem bank as a real test: attempt it after Chapters 1 to 9, Part A at JEE Main level, Part B at JEE Advanced level with several ideas in one problem, Part C on exact definitions, a timed 30-minute unit test, and two solved problems: which sample has the most molecules, and an ethane and propane combustion mixture.https://rankdeterminant.com/media/v/chem-u1-ch10-c1.mp4?v=1990717227-2220dc4802026-10-15yes https://rankdeterminant.com/v/chem-u1-ch10-c2https://rankdeterminant.com/media/v/chem-u1-ch10-c2.jpg?v=e89e45c025-2cba44Part A: JEE Main Level | JEE Chemistry (English)A mixed problem class on the mole concept for JEE Main, taught like a live class: why 2 g of hydrogen has more molecules than 16 g of oxygen, counting atoms and ions inside one formula unit, the limiting reagent in a precipitation, a silver chloride volume problem, and why 6 g of carbon burnt in 8 g of oxygen gives only carbon monoxide.https://rankdeterminant.com/media/v/chem-u1-ch10-c2.mp4?v=e89e45c025-2cba444502026-10-15yes https://rankdeterminant.com/v/chem-u1-ch10-c4https://rankdeterminant.com/media/v/chem-u1-ch10-c4.jpg?v=7611d1c58a-8d06e3Part C: Concept Checks | JEE Chemistry (English)Quick concept checks for JEE Chemistry, taught like a live class: how to crack assertion–reason questions, why one mole of electrons weighs about 0.55 mg, why the molar volume at STP is now 22.7 L and not 22.4 L, which compounds reduce to CH2O, which concentration terms change with temperature, the limiting reagent trap, and a fractional n-factor for Fe0.95O.https://rankdeterminant.com/media/v/chem-u1-ch10-c4.mp4?v=7611d1c58a-8d06e35452026-10-15yes https://rankdeterminant.com/v/chem-u1-ch2-c1https://rankdeterminant.com/media/v/chem-u1-ch2-c1.jpg?v=b204c5c079-a2371dAtomic Mass and Isotopes | JEE Chemistry (English)Why is the atomic mass of chlorine 35.5 when no atom has half a neutron? Learn the unified atomic mass unit (one twelfth of a carbon-12 atom), the dalton, average atomic mass as an abundance-weighted average, the two-isotope formula for percentage abundance, the mass number trap, and two JEE-style solved problems on chlorine and copper.https://rankdeterminant.com/media/v/chem-u1-ch2-c1.mp4?v=b204c5c079-a2371d5172026-10-15yes https://rankdeterminant.com/v/chem-u1-ch2-c2https://rankdeterminant.com/media/v/chem-u1-ch2-c2.jpg?v=9e3ca1d5b8-166904Molecular Mass and Formula Mass | JEE Chemistry (English)How to find the molecular mass of any molecule and the formula mass of ionic solids like NaCl: add the atomic masses of every atom, count the water of crystallisation in CuSO4·5H2O, and dodge the classic JEE traps. Two solved problems: glucose and copper sulphate, then S8 sulphur and the number of molecules in 64 g.https://rankdeterminant.com/media/v/chem-u1-ch2-c2.mp4?v=9e3ca1d5b8-1669044312026-10-15yes https://rankdeterminant.com/v/chem-u1-ch2-c3https://rankdeterminant.com/media/v/chem-u1-ch2-c3.jpg?v=2708fb002aThe Mole and the Avogadro Constant | JEE Chemistry (English)What one mole really is, the Avogadro constant 6.022 × 10^23, why molar mass in g/mol equals atomic or molecular mass in u, the mole map n = m/M = N/NA = V/Vm, molar volume 22.4 L vs 22.7 L, the topper's convert-to-moles-first trick, and two JEE solved problems: moles and molecules in 36 g of water, and which 1 g sample has the most atoms.https://rankdeterminant.com/media/v/chem-u1-ch2-c3.mp4?v=2708fb002a5232026-10-13yes https://rankdeterminant.com/v/chem-u1-ch2-c4https://rankdeterminant.com/media/v/chem-u1-ch2-c4.jpg?v=6afa7db305-caab4dCounting Atoms, Ions, Electrons, Protons and Neutrons | JEE Chemistry (English)How to count atoms, ions, electrons, protons and neutrons in any sample for JEE: the three-factor counting rule (moles, particles per formula unit, Avogadro constant), electrons in ions and the sign of the charge, neutrons from mass number minus atomic number, water versus heavy water, the stay-in-moles trick, and two solved problems on methane and hydroxide ions.https://rankdeterminant.com/media/v/chem-u1-ch2-c4.mp4?v=6afa7db305-caab4d5052026-10-15yes https://rankdeterminant.com/v/chem-u1-ch2-c5https://rankdeterminant.com/media/v/chem-u1-ch2-c5.jpg?v=5fb9dd03ee-020052Gas Volumes in the Mole Map | JEE Chemistry (English)Why do equal balloons of methane and carbon dioxide hold the same number of molecules? Learn Avogadro's law, the molar volume (22.4 L at STP, 22.7 L at 1 bar), moles from gas volume, gas density M/Vm, molar mass from a weighed gas, the mL-versus-litre trap, and two JEE-style solved problems including the Loschmidt number.https://rankdeterminant.com/media/v/chem-u1-ch2-c5.mp4?v=5fb9dd03ee-0200525032026-10-15yes https://rankdeterminant.com/v/chem-u1-ch3-c1https://rankdeterminant.com/media/v/chem-u1-ch3-c1.jpg?v=7ac17e8ed2Percentage Composition | JEE Chemistry (English)How to find the mass percentage of each element in a compound: number of atoms times atomic mass, over the molar mass, times 100. Count atoms inside brackets, turn a percentage into grams, and check that all percentages add up to 100. Solved: ethanol C2H5OH, then the classic JEE trap of iron from 80% haematite ore.https://rankdeterminant.com/media/v/chem-u1-ch3-c1.mp4?v=7ac17e8ed24542026-10-13yes https://rankdeterminant.com/v/chem-u1-ch3-c2https://rankdeterminant.com/media/v/chem-u1-ch3-c2.jpg?v=0255f1e1b7Minimum Molar Mass | JEE Chemistry (English)How to find the minimum molar mass of a compound from the mass percentage of one element: why every molecule holds at least one whole atom, M min = A × 100 / x, M = k × M min when the atom count is known, the divide-by-100-twice trap, and two JEE-style solved problems on chlorophyll (magnesium) and haemoglobin (iron).https://rankdeterminant.com/media/v/chem-u1-ch3-c2.mp4?v=0255f1e1b74642026-10-13yes https://rankdeterminant.com/v/chem-u1-ch3-c3https://rankdeterminant.com/media/v/chem-u1-ch3-c3.jpg?v=9fb6ae1f06Empirical and Molecular Formulae | JEE Chemistry (English)How to find the empirical formula from percentage composition in four steps, get the molecular formula with n = molar mass / empirical formula mass, use vapour density (M = 2 × VD), and dodge the JEE rounding trap where 1.5 is not 2. Two solved problems: CH2Cl to C2H4Cl2, and the vapour density classic CH2O to C2H4O2.https://rankdeterminant.com/media/v/chem-u1-ch3-c3.mp4?v=9fb6ae1f065262026-10-13yes https://rankdeterminant.com/v/chem-u1-ch3-c4https://rankdeterminant.com/media/v/chem-u1-ch3-c4.jpg?v=765ccc641eFormulae from Combustion Data | JEE Chemistry (English)How to find the empirical and molecular formula of a compound from combustion data: carbon from CO2 with 12/44, hydrogen from water with 2/18, oxygen only by difference, and x and y of a hydrocarbon CxHy from its combustion equation. Two solved JEE-style problems with the classic traps: CH2O from 0.44 g of CO2 and 0.18 g of water, then the hydrocarbon C3H4.https://rankdeterminant.com/media/v/chem-u1-ch3-c4.mp4?v=765ccc641e5252026-10-13yes https://rankdeterminant.com/v/chem-u1-ch3-c5https://rankdeterminant.com/media/v/chem-u1-ch3-c5.jpg?v=3801f06fd5Hydrates, Metal Compounds and Non-stoichiometric Oxides | JEE Chemistry (English)How to find x in a hydrate like Na2CO3·xH2O from the mass lost on heating, the atomic mass of a metal from its compound MXk (moles of M = moles of X ÷ k), the take-100-g trick for percentages, and charge balance in non-stoichiometric oxides, with two JEE solved problems: washing soda, and the fraction of iron present as Fe3+ in Fe0.94O.https://rankdeterminant.com/media/v/chem-u1-ch3-c5.mp4?v=3801f06fd55272026-10-13yes https://rankdeterminant.com/v/chem-u1-ch4-c1https://rankdeterminant.com/media/v/chem-u1-ch4-c1.jpg?v=a436ca1b55Carbon and Hydrogen: Liebig's Method | JEE Chemistry (English)Liebig's combustion method for estimating carbon and hydrogen in an organic compound: burning with excess copper(II) oxide, trapping water in anhydrous CaCl2 and CO2 in KOH, the 12/44 and 2/18 percentage formulas, why the CaCl2 tube must come first, oxygen by difference, and two JEE solved problems including an empirical formula.https://rankdeterminant.com/media/v/chem-u1-ch4-c1.mp4?v=a436ca1b555292026-10-13yes https://rankdeterminant.com/v/chem-u1-ch4-c2https://rankdeterminant.com/media/v/chem-u1-ch4-c2.jpg?v=7d74fc73d7Nitrogen: Dumas' Method | JEE Chemistry (English)How Dumas' method estimates nitrogen in an organic compound: heating with CuO in CO2, the hot copper gauze, why concentrated KOH absorbs the CO2, the formula %N = (28/22400) × (V0/w) × 100, correcting a gas collected over water for aqueous tension and to STP, the JEE trap of skipping the corrections, and two solved numericals.https://rankdeterminant.com/media/v/chem-u1-ch4-c2.mp4?v=7d74fc73d75042026-10-13yes https://rankdeterminant.com/v/chem-u1-ch4-c3https://rankdeterminant.com/media/v/chem-u1-ch4-c3.jpg?v=65af486280Nitrogen: Kjeldahl's Method | JEE Chemistry (English)How Kjeldahl's method estimates nitrogen in an organic compound: digestion with concentrated H2SO4, ammonia released by NaOH, absorbed in excess standard acid and back titrated. Derive %N = 1.4 × N × V / w, dodge the N = 2M trap for H2SO4 and the acid-taken trap, see why nitro, azo and pyridine nitrogen need Dumas' method, and solve two JEE-style numericals.https://rankdeterminant.com/media/v/chem-u1-ch4-c3.mp4?v=65af4862805072026-10-13yes https://rankdeterminant.com/v/chem-u1-ch4-c4https://rankdeterminant.com/media/v/chem-u1-ch4-c4.jpg?v=5a480600b4Halogens: Carius' Method | JEE Chemistry (English)How Carius' method estimates chlorine, bromine and iodine in an organic compound: heating with fuming HNO3 and AgNO3 in a sealed tube, weighing the silver halide, the percentage formula with AgCl 143.5, AgBr 188 and AgI 235, the topper's trick to remember them, the JEE trap of treating AgCl as chlorine, and two solved problems: 28.4% chlorine and the molar mass of chlorobenzene.https://rankdeterminant.com/media/v/chem-u1-ch4-c4.mp4?v=5a480600b44732026-10-13yes https://rankdeterminant.com/v/chem-u1-ch4-c5https://rankdeterminant.com/media/v/chem-u1-ch4-c5.jpg?v=1d9c337147-495dfcSulphur and Phosphorus | JEE Chemistry (English)How to find the percentage of sulphur and phosphorus in an organic compound: the Carius tube with fuming HNO3 and BaSO4 (factor 32/233), phosphorus weighed as Mg2P2O7 (factor 62/222, two P atoms!) or as ammonium phosphomolybdate (31/1877), the topper's read-the-factor trick, and two JEE solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u1-ch4-c5.mp4?v=1d9c337147-495dfc4912026-10-15yes https://rankdeterminant.com/v/chem-u1-ch4-c6https://rankdeterminant.com/media/v/chem-u1-ch4-c6.jpg?v=475d81d927Oxygen by Difference and Complete Analysis | JEE Chemistry (English)How to find the percentage of oxygen in an organic compound by difference, then put the Liebig, Dumas and Carius results together into the empirical and molecular formula. With the topper's go-straight-to-moles trick, the forgotten-nitrogen trap, and two JEE-style solved problems, including glycine.https://rankdeterminant.com/media/v/chem-u1-ch4-c6.mp4?v=475d81d9275192026-10-13yes https://rankdeterminant.com/v/chem-u1-ch5-c1https://rankdeterminant.com/media/v/chem-u1-ch5-c1.jpg?v=c3fe10a581Reading a Balanced Equation | JEE Chemistry (English)How to read a balanced chemical equation in moles, grams and gas volumes: why N2 + 3H2 gives 2NH3, the stoichiometric ratio n/a = n/b, why mass is conserved but moles need not be, the topper's trick for balancing by inspection, and two JEE-style solved problems with the classic traps (methane and oxygen, potassium chlorate).https://rankdeterminant.com/media/v/chem-u1-ch5-c1.mp4?v=c3fe10a5815302026-10-13yes https://rankdeterminant.com/v/chem-u1-ch5-c2https://rankdeterminant.com/media/v/chem-u1-ch5-c2.jpg?v=6f2f8633ecThe Limiting Reagent | JEE Chemistry (English)How to find the limiting reagent in seconds: divide the moles of each reactant by its coefficient, and the smaller value limits the reaction and fixes every product. The JEE trap of the smaller mass or smaller moles, the reagent in excess left over, and two solved problems: ammonia from hydrogen and nitrogen, and water from 10 g of hydrogen and 64 g of oxygen.https://rankdeterminant.com/media/v/chem-u1-ch5-c2.mp4?v=6f2f8633ec5082026-10-13yes https://rankdeterminant.com/v/chem-u1-ch5-c3https://rankdeterminant.com/media/v/chem-u1-ch5-c3.jpg?v=1b99673745Yield and Purity | JEE Chemistry (English)How to find percentage yield and percentage purity in stoichiometry numericals: actual over theoretical yield, why the theoretical yield comes from the limiting reagent, why the yields of a multi-step synthesis multiply, the divide-by-purity trap for impure samples, and two JEE-style solved problems.https://rankdeterminant.com/media/v/chem-u1-ch5-c3.mp4?v=1b996737454402026-10-13yes https://rankdeterminant.com/v/chem-u1-ch5-c4https://rankdeterminant.com/media/v/chem-u1-ch5-c4.jpg?v=287eac3e82Sequential and Parallel Reactions | JEE Chemistry (English)How to link chemical equations in stoichiometry: multiply the mole ratios along a chain of sequential reactions, or skip the intermediates with POAC on the element carried through. For parallel reactions, make the amount going each way an unknown and write one equation per piece of data. Two JEE-style solved problems: sulphur to sulphuric acid, and a magnesium–aluminium mixture with HCl.https://rankdeterminant.com/media/v/chem-u1-ch5-c4.mp4?v=287eac3e824602026-10-13yes https://rankdeterminant.com/v/chem-u1-ch5-c5https://rankdeterminant.com/media/v/chem-u1-ch5-c5.jpg?v=edd60eaef7The Principle of Atom Conservation and Mixtures | JEE Chemistry (English)Learn POAC, the principle of atom conservation: for any element, moles times atoms per species stays the same before and after a reaction, so you can skip balancing. Then the topper's two-equation trick for mixtures, the classic traps, and two JEE-style solved problems: P4O10 from white phosphorus and a CaCO3 and MgCO3 mixture heated to its oxides.https://rankdeterminant.com/media/v/chem-u1-ch5-c5.mp4?v=edd60eaef75102026-10-13yes https://rankdeterminant.com/v/chem-u1-ch6-c1https://rankdeterminant.com/media/v/chem-u1-ch6-c1.jpg?v=e16053b40dMoles of a Gas from P, V and T | JEE Chemistry (English)How to find the moles of a gas from its pressure, volume and temperature with the ideal gas equation PV = nRT: the three values of R and when to use each, the kelvin and millilitre traps, molar volume (22.4, 22.7, 24.5 and 24.8 L), the density and molar mass of a gas from rho = PM/RT, and two JEE solved problems.https://rankdeterminant.com/media/v/chem-u1-ch6-c1.mp4?v=e16053b40d5002026-10-13yes https://rankdeterminant.com/v/chem-u1-ch6-c2https://rankdeterminant.com/media/v/chem-u1-ch6-c2.jpg?v=543119e300-601da3Vapour Density and Average Molar Mass | JEE Chemistry (English)Vapour density made simple for JEE: VD = M/2, the average molar mass of a gas mixture as the mole-fraction-weighted mean (total mass over total moles), why volume fraction equals mole fraction, and why dissociation lowers the vapour density, with M0/M̄ = 1 + (n−1)α. Two solved problems: the average molar mass of air and the degree of dissociation of PCl5, with the classic traps.https://rankdeterminant.com/media/v/chem-u1-ch6-c2.mp4?v=543119e300-601da34812026-10-15yes https://rankdeterminant.com/v/chem-u1-ch6-c3https://rankdeterminant.com/media/v/chem-u1-ch6-c3.jpg?v=6dbfe941aeVolume Relations in Reactions | JEE Chemistry (English)How to read gas volumes straight from a balanced equation: Gay-Lussac's law at constant temperature and pressure, why condensed water and solid carbon count zero volume, the volume-change trick for ozonisers and ammonia decomposition, and two JEE-style solved problems: hydrogen exploded with oxygen, and CO and CO2 over red-hot charcoal.https://rankdeterminant.com/media/v/chem-u1-ch6-c3.mp4?v=6dbfe941ae4972026-10-13yes https://rankdeterminant.com/v/chem-u1-ch6-c4https://rankdeterminant.com/media/v/chem-u1-ch6-c4.jpg?v=f0b0c96d20Dalton's Law of Partial Pressures | JEE Chemistry (English)Dalton's law of partial pressures, taught like a live class: total pressure as the sum of the partial pressures, partial pressure equals mole fraction times total pressure, the JEE trap of sharing the pressure by mass, aqueous tension for a gas collected over water, and two solved problems: hydrogen and oxygen in one vessel, and the moles of hydrogen collected over water.https://rankdeterminant.com/media/v/chem-u1-ch6-c4.mp4?v=f0b0c96d204742026-10-13yes https://rankdeterminant.com/v/chem-u1-ch6-c5https://rankdeterminant.com/media/v/chem-u1-ch6-c5.jpg?v=2d012e2841Eudiometry | JEE Chemistry (English)Eudiometry made easy: a hydrocarbon CxHy is exploded with excess oxygen, cooled, and passed through KOH. What each volume change tells you: oxygen used x + y/4, contraction on cooling 1 + y/4, KOH fall x. The JEE trap of oxygen added versus oxygen used, the topper's check, and two solved problems: the formula C2H4 and an H2 and CH4 mixture.https://rankdeterminant.com/media/v/chem-u1-ch6-c5.mp4?v=2d012e28415162026-10-13yes https://rankdeterminant.com/v/chem-u1-ch7-c1https://rankdeterminant.com/media/v/chem-u1-ch7-c1.jpg?v=4250c9226d-07d1f8Mass Percent, Volume Percent and ppm | JEE Chemistry (English)How to express the concentration of a solution: mass percent (w/w), volume percent (v/v), mass by volume percent (w/v) and parts per million (ppm). The topper's trick for reading the labels, the 1 ppm ≈ 1 mg/L shortcut for dilute aqueous solutions, and two JEE-style solved problems with the classic traps, including the molarity of 0.9% normal saline.https://rankdeterminant.com/media/v/chem-u1-ch7-c1.mp4?v=4250c9226d-07d1f84772026-10-15yes https://rankdeterminant.com/v/chem-u1-ch7-c2https://rankdeterminant.com/media/v/chem-u1-ch7-c2.jpg?v=f953733d35Mole Fraction | JEE Chemistry (English)Mole fraction made simple for JEE: x_B = n_B/(n_A + n_B), why x_A + x_B = 1, why you must change grams to moles first, and why mole fraction, like mass percent and molality, does not change with temperature. Two solved problems, ethanol in water and 46% (w/w) aqueous ethanol, with the classic traps and the take-100-g topper's trick.https://rankdeterminant.com/media/v/chem-u1-ch7-c2.mp4?v=f953733d354312026-10-13yes https://rankdeterminant.com/v/chem-u1-ch7-c3https://rankdeterminant.com/media/v/chem-u1-ch7-c3.jpg?v=62670417cdMolarity and Molality | JEE Chemistry (English)Molarity vs molality made clear for JEE: molarity as moles of solute per litre of solution, molality as moles of solute per kilogram of solvent, the millimoles shortcut M × V(mL), why molarity changes with temperature but molality does not, and two solved NaOH problems, including why 0.98 M and 1.0 m differ for the same solution.https://rankdeterminant.com/media/v/chem-u1-ch7-c3.mp4?v=62670417cd4202026-10-13yes https://rankdeterminant.com/v/chem-u1-ch7-c4https://rankdeterminant.com/media/v/chem-u1-ch7-c4.jpg?v=2fdf389905Converting Between Concentration Terms | JEE Chemistry (English)Convert mass percent, molarity, molality and mole fraction without mugging up formulas: take a convenient amount (1 L of solution, 1 kg of solvent or 100 g of solution), use density and molar mass as bridges, avoid the 1 L = 1 kg water trap, and solve two JEE-style problems: 10% NaOH and 98% commercial sulphuric acid.https://rankdeterminant.com/media/v/chem-u1-ch7-c4.mp4?v=2fdf3899055092026-10-13yes https://rankdeterminant.com/v/chem-u1-ch7-c5https://rankdeterminant.com/media/v/chem-u1-ch7-c5.jpg?v=325da21b0aDilution and Mixing | JEE Chemistry (English)Dilution and mixing made simple for JEE: why the moles of solute stay the same on dilution (M1V1 = M2V2), the molarity of a mixture of two solutions of the same solute, the mass percent of a mixture, and the topper's trick of total solute over total solution. Two solved problems, how much water to add and what volumes of 10 M and 2 M HCl make 1 L of 5 M, with the classic traps.https://rankdeterminant.com/media/v/chem-u1-ch7-c5.mp4?v=325da21b0a4992026-10-13yes https://rankdeterminant.com/v/chem-u1-ch7-c6https://rankdeterminant.com/media/v/chem-u1-ch7-c6.jpg?v=bbe495d24cIons in Solution and Reactions in Solution | JEE Chemistry (English)How to find the concentration of each ion in a solution, taught like a live class: ion concentration equals the subscript times the molarity, adding the millimoles of an ion when two solutions are mixed, and the limiting reagent method for reactions in solution. Two solved JEE-style problems: chloride ions from calcium chloride and aluminium chloride, and sulphuric acid with sodium hydroxide.https://rankdeterminant.com/media/v/chem-u1-ch7-c6.mp4?v=bbe495d24c5452026-10-13yes https://rankdeterminant.com/v/chem-u1-ch8-c1https://rankdeterminant.com/media/v/chem-u1-ch8-c1.jpg?v=6bad4dfb4e-e01491Equivalent Mass and the n-Factor | JEE Chemistry (English)How to find the equivalent mass E = M / n-factor for acids, bases, salts and redox reactions: basicity and acidity, the H3PO3, H3PO2 and boric acid traps, n-factor of K2Cr2O7, equivalent mass of an element, number of equivalents, and two JEE solved problems including Na2CO3 titrated to the phenolphthalein and methyl orange end points.https://rankdeterminant.com/media/v/chem-u1-ch8-c1.mp4?v=6bad4dfb4e-e014915282026-10-15yes https://rankdeterminant.com/v/chem-u1-ch8-c2https://rankdeterminant.com/media/v/chem-u1-ch8-c2.jpg?v=6e8e22f268Normality and the Law of Equivalence | JEE Chemistry (English)Normality made simple for JEE: N = M × n-factor, milliequivalents as N × V(mL), the law of equivalence N1V1 = N2V2 for titrations, the normality of a mixture where acids add and an acid and a base subtract, and two solved problems with the classic molarity-versus-normality trap.https://rankdeterminant.com/media/v/chem-u1-ch8-c2.mp4?v=6e8e22f2684562026-10-13yes https://rankdeterminant.com/v/chem-u1-ch8-c3https://rankdeterminant.com/media/v/chem-u1-ch8-c3.jpg?v=f703e621a3-2b1cf8Acid–Base Titrations and Back Titration | JEE Chemistry (English)Back titration made simple for JEE: why insoluble or slow-reacting solids like carbonates and ammonium salts cannot be titrated directly, the rule meq of sample = meq added − meq left, the meq × E shortcut for milligrams, and two solved purity problems on limestone and ammonium sulphate with the classic normality trap.https://rankdeterminant.com/media/v/chem-u1-ch8-c3.mp4?v=f703e621a3-2b1cf84612026-10-15yes https://rankdeterminant.com/v/chem-u1-ch8-c4https://rankdeterminant.com/media/v/chem-u1-ch8-c4.jpg?v=33285543d8-ee39beDouble Titration | JEE Chemistry (English)Double titration made simple: what HCl does up to the phenolphthalein and the methyl orange end points, how to find NaOH + Na2CO3 or Na2CO3 + NaHCO3 in a mixture from the two titres a and b, the 'further' versus 'in all' trap, and two JEE-style solved problems.https://rankdeterminant.com/media/v/chem-u1-ch8-c4.mp4?v=33285543d8-ee39be5362026-10-15yes https://rankdeterminant.com/v/chem-u1-ch8-c5https://rankdeterminant.com/media/v/chem-u1-ch8-c5.jpg?v=3bee4fb8cbVolume Strength of Hydrogen Peroxide | JEE Chemistry (English)What does 20 volume hydrogen peroxide really mean? Volume strength for JEE: why molarity = x/11.2, normality = x/5.6 and strength = 34x/11.2 g/L follow from 2H2O2 → 2H2O + O2, the factor-of-two trap, the 22.7 L molar volume trap, the topper's halving ladder, and two solved problems: 1.5 N H2O2 and 20 volume H2O2.https://rankdeterminant.com/media/v/chem-u1-ch8-c5.mp4?v=3bee4fb8cb5092026-10-13yes https://rankdeterminant.com/v/chem-u1-ch8-c6https://rankdeterminant.com/media/v/chem-u1-ch8-c6.jpg?v=c0cde4d173-46c652Hardness of Water | JEE Chemistry (English)How to calculate the hardness of water in ppm for JEE: why hardness is always expressed as calcium carbonate, why its equivalent mass is 50, the millimoles times 100 and milliequivalents times 50 shortcut, the classic traps, and two solved problems: magnesium sulfate hardness, and the mass of washing soda needed to soften 1000 L of water.https://rankdeterminant.com/media/v/chem-u1-ch8-c6.mp4?v=c0cde4d173-46c6525152026-10-15yes https://rankdeterminant.com/v/chem-u1-ch9-c1https://rankdeterminant.com/media/v/chem-u1-ch9-c1.jpg?v=1817ba89d4-90ff1bOverview | JEE Chemistry (English)How to practise the mixed JEE Main-pattern problems of Some Basic Concepts in Chemistry like a real test: the six question types, one to two minutes a problem, the try-first rule, nearest-integer answers, and two solved numerical-value problems: sulphur in hypo, and the mass of CO2 in a CO and CO2 mixture.https://rankdeterminant.com/media/v/chem-u1-ch9-c1.mp4?v=1817ba89d4-90ff1b5092026-10-15yes https://rankdeterminant.com/v/chem-u1-ch9-c2https://rankdeterminant.com/media/v/chem-u1-ch9-c2.jpg?v=1e25beb580Mixed Problems: Set 1 (Mole Concept, Composition and Formulae) | JEE Chemistry (English)Mole concept, percentage composition and formulae in one JEE Main style mixed set: change molecules, grams and litres at STP into moles, count atoms and protons inside a formula, find percentage of sulphur in hypo, the molar mass of a protein from its iron content, and the water in a hydrate, with the classic traps.https://rankdeterminant.com/media/v/chem-u1-ch9-c2.mp4?v=1e25beb5804942026-10-13yes https://rankdeterminant.com/v/chem-u1-ch9-c3https://rankdeterminant.com/media/v/chem-u1-ch9-c3.jpg?v=3980be5781Mixed Problems: Set 2 (Stoichiometry and Gases) | JEE Chemistry (English)Stoichiometry and gas numericals for JEE Main, one to two minutes each: convert to moles, cross over with the coefficients of the equation, convert back. The limiting reagent with the divide-by-coefficient trick, percentage yield and chain yields, gas volumes at STP, and two solved problems on aluminium oxide and the percentage of potassium chlorate in a mixture, with the classic traps.https://rankdeterminant.com/media/v/chem-u1-ch9-c3.mp4?v=3980be57815452026-10-13yes https://rankdeterminant.com/v/chem-u1-ch9-c4https://rankdeterminant.com/media/v/chem-u1-ch9-c4.jpg?v=58b37cedb6-79725eMixed Problems: Set 3 (Concentration, Equivalents and Titrations) | JEE Chemistry (English)A mixed JEE Main problem class on concentration, equivalents and titrations: why mixing 0.2 M and 0.4 M NaOH does not give 0.3 M, counting millimoles for dilution and ions, molarity from mass percent and density, normality and the n-factor of aluminium sulphate, and a solved back titration for the purity of MgO.https://rankdeterminant.com/media/v/chem-u1-ch9-c4.mp4?v=58b37cedb6-79725e5762026-10-15yes https://rankdeterminant.com/v/chem-u10-ch1-c1https://rankdeterminant.com/media/v/chem-u10-ch1-c1.jpg?v=282fad741b-62549bGeneral Trends in Group 13 | JEE Chemistry (English)Group 13 trends for JEE Main and Advanced: why gallium is smaller than aluminium, why ionisation enthalpy does not fall smoothly, gallium's huge liquid range, the inert pair effect and the stable +1 state of thallium, oxides from acidic to basic, how boron differs, and two solved problems including the TlI3 oxidation state trap.https://rankdeterminant.com/media/v/chem-u10-ch1-c1.mp4?v=282fad741b-62549b5132026-10-20yes https://rankdeterminant.com/v/chem-u10-ch1-c2https://rankdeterminant.com/media/v/chem-u10-ch1-c2.jpg?v=d97297a7eb-232278Boron: Borax, Boric Acid and the Trihalides | JEE Chemistry (English)Borax and boric acid for JEE: the true formula of borax with its two sp2 and two sp3 borons, why borax solution is alkaline, borax bead colours, why boric acid is a weak monobasic Lewis acid, why glycerol is added before titrating it, and why BF3 is the weakest Lewis acid of the boron trihalides (back bonding), with two solved problems.https://rankdeterminant.com/media/v/chem-u10-ch1-c2.mp4?v=d97297a7eb-2322784782026-10-20yes https://rankdeterminant.com/v/chem-u10-ch1-c3https://rankdeterminant.com/media/v/chem-u10-ch1-c3.jpg?v=f52bda9c28-102021Diborane and Borazine | JEE Chemistry (English)Why BH3 dimerises to diborane, B2H6: only twelve valence electrons, four terminal 2c-2e bonds and two 3c-2e banana bridges, bond lengths and angles, preparation, burning, symmetric and unsymmetric cleavage by trimethylamine and ammonia, and borazine, the inorganic benzene. With two solved problems: hydrogen from hydrolysis and a diborane mass calculation.https://rankdeterminant.com/media/v/chem-u10-ch1-c3.mp4?v=f52bda9c28-1020214962026-10-20yes https://rankdeterminant.com/v/chem-u10-ch1-c4https://rankdeterminant.com/media/v/chem-u10-ch1-c4.jpg?v=b199b0a91b-9c7ba4Aluminium and Its Compounds | JEE Chemistry (English)Aluminium and its compounds for JEE: the Bayer process with hot NaOH and CO2, the Hall–Héroult electrolysis in molten cryolite, amphoteric aluminium in acid and alkali, the protective oxide film, the thermite reaction, why heating hydrated AlCl3 fails, the Al2Cl6 dimer with its bridging bonds, and potash alum in water purification. Two solved problems: aluminium for the thermite reaction and carbon anode burnt per kilogram of aluminium.https://rankdeterminant.com/media/v/chem-u10-ch1-c4.mp4?v=b199b0a91b-9c7ba45202026-10-20yes https://rankdeterminant.com/v/chem-u10-ch2-c1https://rankdeterminant.com/media/v/chem-u10-ch2-c1.jpg?v=7ee6c47974-03f3eeGeneral Trends in Group 14 | JEE Chemistry (English)Group 14 trends for JEE Main and Advanced: the small silicon to germanium step in radius, ionisation enthalpy, the electronegativity and melting point traps, the inert pair effect (Sn2+ reducing, Pb4+ oxidising), why PbI4 does not exist, catenation, why CO2 is a gas but SiO2 a solid, hydrolysis of SiCl4, and two solved problems including red lead.https://rankdeterminant.com/media/v/chem-u10-ch2-c1.mp4?v=7ee6c47974-03f3ee5322026-10-20yes https://rankdeterminant.com/v/chem-u10-ch2-c2https://rankdeterminant.com/media/v/chem-u10-ch2-c2.jpg?v=3ec730a232-0825d7Carbon: Allotropes and Oxides | JEE Chemistry (English)Allotropes of carbon for JEE: diamond (sp3 network, hardest, an insulator that conducts heat), graphite (sp2 layers, delocalised electrons, bond order 1 1/3, the most stable form), fullerene C60 with 12 five- and 20 six-membered rings, graphene; then carbon monoxide (water gas, producer gas, neutral, reducing, metal carbonyls, why it is poisonous) and carbon dioxide (acidic, dry ice), with two solved problems.https://rankdeterminant.com/media/v/chem-u10-ch2-c2.mp4?v=3ec730a232-0825d75182026-10-20yes https://rankdeterminant.com/v/chem-u10-ch2-c3https://rankdeterminant.com/media/v/chem-u10-ch2-c3.jpg?v=6a5772ce53-e52af4Silicon: Silica, Silicates, Zeolites and Silicones | JEE Chemistry (English)Silica, silicates, zeolites, glass, cement and silicones for JEE Main and Advanced: why SiO2 is a giant 3D network, why HF is kept in wax or plastic bottles, the silicate types from shared corners, aluminosilicates and ZSM-5, the cement ratios, R2SiCl2 vs RSiCl3 vs R3SiCl, and two solved problems on cement quality and talc.https://rankdeterminant.com/media/v/chem-u10-ch2-c3.mp4?v=6a5772ce53-e52af45422026-10-20yes https://rankdeterminant.com/v/chem-u10-ch2-c4https://rankdeterminant.com/media/v/chem-u10-ch2-c4.jpg?v=0828d5fd98-037abaTin and Lead | JEE Chemistry (English)Tin and lead for JEE Main and Advanced: tin from cassiterite, tin with dilute and concentrated nitric acid, SnCl2 as a reducing agent with HgCl2 (white, then grey), why gaseous SnCl2 is bent, tin plague, self-reduction of galena, PbO and PbO2, why PbO2 is not a peroxide, PbCl2, PbI2, the lead storage battery, and two solved problems.https://rankdeterminant.com/media/v/chem-u10-ch2-c4.mp4?v=0828d5fd98-037aba5252026-10-20yes https://rankdeterminant.com/v/chem-u10-ch3-c1https://rankdeterminant.com/media/v/chem-u10-ch3-c1.jpg?v=f9bdc56f95-cacffaGeneral Trends in Group 15 | JEE Chemistry (English)Group 15 trends for JEE Main and Advanced: covalent radius and ionisation enthalpy, oxidation states and the inert pair effect, disproportionation of HNO2 and H3PO3, why nitrogen is different (the N2 triple bond, the weak N-N bond, no NCl5), hydride bond angles, basicity and the boiling point trap, halides and oxides, and two solved problems including the hydrolysis of NCl3 and PCl3.https://rankdeterminant.com/media/v/chem-u10-ch3-c1.mp4?v=f9bdc56f95-cacffa4992026-10-20yes https://rankdeterminant.com/v/chem-u10-ch3-c2https://rankdeterminant.com/media/v/chem-u10-ch3-c2.jpg?v=43d3742964-cc02e2Dinitrogen and Ammonia | JEE Chemistry (English)Dinitrogen and ammonia for JEE Main and Advanced: laboratory preparation of N2 from ammonium chloride and sodium nitrite, ammonium dichromate and barium azide, why N2 is inert, the Haber process conditions (200 atm, 700 K, iron oxide catalyst), why ammonia is dried over quicklime, ammonia as a Lewis base and ligand, its reactions with chlorine, and two solved problems.https://rankdeterminant.com/media/v/chem-u10-ch3-c2.mp4?v=43d3742964-cc02e24972026-10-20yes https://rankdeterminant.com/v/chem-u10-ch3-c3https://rankdeterminant.com/media/v/chem-u10-ch3-c3.jpg?v=d0e8a80d88-db6aafOxides of Nitrogen and Nitric Acid | JEE Chemistry (English)Oxides of nitrogen and nitric acid for JEE Main and Advanced: oxidation states, colours and nature of N2O, NO, N2O3, NO2, N2O4 and N2O5, which have an N-N bond, odd-electron paramagnetic oxides, the Ostwald process, why concentrated nitric acid turns yellow, its action on zinc and copper, passivity, the brown ring test, and two solved problems including balancing iodine with nitric acid.https://rankdeterminant.com/media/v/chem-u10-ch3-c3.mp4?v=d0e8a80d88-db6aaf4672026-10-20yes https://rankdeterminant.com/v/chem-u10-ch3-c4https://rankdeterminant.com/media/v/chem-u10-ch3-c4.jpg?v=440a60c21a-3c9f95Phosphorus: Allotropes, Phosphine and Halides | JEE Chemistry (English)White, red and black phosphorus for JEE Main and Advanced: the strained P4 tetrahedron and why white phosphorus is so reactive, how red and black phosphorus are made, phosphine from white phosphorus and NaOH (a disproportionation) and from calcium phosphide, why pure phosphine does not catch fire, PCl3 and PCl5 with their structures and hydrolysis, and two solved mole problems.https://rankdeterminant.com/media/v/chem-u10-ch3-c4.mp4?v=440a60c21a-3c9f954742026-10-20yes https://rankdeterminant.com/v/chem-u10-ch3-c5https://rankdeterminant.com/media/v/chem-u10-ch3-c5.jpg?v=c76347998b-9ef743Oxides and Oxoacids of Phosphorus | JEE Chemistry (English)Oxides and oxoacids of phosphorus for JEE Main and Advanced: P4O6 and P4O10 cages, their reactions with water, P4O10 as a dehydrating agent, why H3PO3 is dibasic and H3PO2 monobasic, oxidation states of phosphorus, P–H bonds as reducing agents with silver nitrate, disproportionation on heating, and two solved problems.https://rankdeterminant.com/media/v/chem-u10-ch3-c5.mp4?v=c76347998b-9ef7435062026-10-20yes https://rankdeterminant.com/v/chem-u10-ch4-c1https://rankdeterminant.com/media/v/chem-u10-ch4-c1.jpg?v=11ac1d2e48-dda345General Trends in Group 16 | JEE Chemistry (English)Group 16 trends for JEE Main and Advanced: covalent radius, ionisation enthalpy, why oxygen's electron gain enthalpy is less negative than sulphur's, oxidation states and the inert pair effect, why oxygen is different, bond angles, acidity and boiling points of H2O to H2Te, halides and oxides, and two solved problems: oxygen's oxidation state in OF2 and KO2, and why SF6 resists hydrolysis while SF4 does not.https://rankdeterminant.com/media/v/chem-u10-ch4-c1.mp4?v=11ac1d2e48-dda3455332026-10-20yes https://rankdeterminant.com/v/chem-u10-ch4-c2https://rankdeterminant.com/media/v/chem-u10-ch4-c2.jpg?v=d6b7c9a6cc-f90281Dioxygen, Oxides and Ozone | JEE Chemistry (English)Dioxygen and ozone for JEE Main and Advanced: laboratory preparation of oxygen from KClO3 and metal oxides, why O2 is paramagnetic, acidic, basic, amphoteric and neutral oxides, ozone by silent electric discharge, its bent resonance structure with bond order 1.5 and six lone pairs, ozone as an oxidising agent, ozone depletion by NO and CFCs, and two solved problems on ozone volume and estimating ozone with KI.https://rankdeterminant.com/media/v/chem-u10-ch4-c2.mp4?v=d6b7c9a6cc-f902815372026-10-20yes https://rankdeterminant.com/v/chem-u10-ch4-c3https://rankdeterminant.com/media/v/chem-u10-ch4-c3.jpg?v=26649ac034-a34391Sulphur and Sulphur Dioxide | JEE Chemistry (English)Sulphur and sulphur dioxide for JEE Main and Advanced: rhombic and monoclinic sulphur, the 369 K transition temperature, S8 crown rings, paramagnetic S2 vapour, why molten sulphur turns viscous, how SO2 is made, its acidic nature and bent sp2 shape, SO2 as a reducing and an oxidising agent, the dichromate test, temporary bleaching versus chlorine, and a solved volume at STP problem.https://rankdeterminant.com/media/v/chem-u10-ch4-c3.mp4?v=26649ac034-a343915232026-10-20yes https://rankdeterminant.com/v/chem-u10-ch4-c4https://rankdeterminant.com/media/v/chem-u10-ch4-c4.jpg?v=4efd5f5bca-726f71Sulphuric Acid and the Oxoacids of Sulphur | JEE Chemistry (English)Sulphuric acid for JEE Main and Advanced: the contact process over V2O5 and the conditions that favour SO3, why SO3 goes into oleum and not water, the dehydrating and oxidising action of the acid, why HBr is not made with it, the structures and oxidation states of the oxoacids of sulphur, and two solved problems: counting S=O bonds and the free SO3 in 109% oleum.https://rankdeterminant.com/media/v/chem-u10-ch4-c4.mp4?v=4efd5f5bca-726f715232026-10-20yes https://rankdeterminant.com/v/chem-u10-ch5-c1https://rankdeterminant.com/media/v/chem-u10-ch5-c1.jpg?v=073ea702c6-cacde9General Trends in Group 17 | JEE Chemistry (English)Group 17 halogen trends for JEE Main and Advanced: atomic radius, electronegativity, why chlorine's electron gain enthalpy is more negative than fluorine's, why halogens are coloured, oxidising power and displacement, why fluorine is different, acid strength and boiling points of HF to HI, and two solved problems: the bond enthalpy order Cl2 > Br2 > F2 > I2, and why F2 is the strongest oxidising agent.https://rankdeterminant.com/media/v/chem-u10-ch5-c1.mp4?v=073ea702c6-cacde94842026-10-20yes https://rankdeterminant.com/v/chem-u10-ch5-c2https://rankdeterminant.com/media/v/chem-u10-ch5-c2.jpg?v=9d3438204e-38fb64Chlorine, Bleaching Powder and Hydrogen Chloride | JEE Chemistry (English)Chlorine, bleaching powder and hydrogen chloride for JEE Main and Advanced: chlorine from MnO2, KMnO4, the Deacon process and brine, chlorine with cold and hot NaOH, slaked lime and ammonia, its oxidising reactions, why bleaching needs moisture, making HCl and why dry HCl does not conduct, aqua regia, HBr and HI, and solved problems on the oxidation number and available chlorine of bleaching powder.https://rankdeterminant.com/media/v/chem-u10-ch5-c2.mp4?v=9d3438204e-38fb644722026-10-20yes https://rankdeterminant.com/v/chem-u10-ch5-c3https://rankdeterminant.com/media/v/chem-u10-ch5-c3.jpg?v=4ab28e3cb4-cd0208Oxoacids of Halogens | JEE Chemistry (English)Oxoacids of halogens for JEE Main and Advanced: the hypohalous, halous, halic and perhalic acids, why fluorine forms only HOF, sp3 structures and lone pairs from HOCl to HClO4, acid strength and why HOCl > HOBr > HOI, thermal stability and oxidising power, disproportionation of HOCl and KClO3, and why iodine liberates chlorine from potassium chlorate.https://rankdeterminant.com/media/v/chem-u10-ch5-c3.mp4?v=4ab28e3cb4-cd02084442026-10-20yes https://rankdeterminant.com/v/chem-u10-ch5-c4https://rankdeterminant.com/media/v/chem-u10-ch5-c4.jpg?v=23819ba338-7c8a40Interhalogens, Polyhalides and Pseudohalides | JEE Chemistry (English)Interhalogen compounds XX'n for JEE Main and Advanced: why n is always odd, how they are made, VSEPR shapes of ClF3, BrF5 and IF7, why ICl is more reactive than I2, hydrolysis (smaller halogen to halide, larger to oxoacid), ClF3 as a fluorinating agent, the triiodide ion, CsI3, ICl2- and ICl4-, KHF2, pseudohalide ions, and two solved problems including why liquid BrF3 conducts electricity.https://rankdeterminant.com/media/v/chem-u10-ch5-c4.mp4?v=23819ba338-7c8a404762026-10-20yes https://rankdeterminant.com/v/chem-u10-ch5-c5https://rankdeterminant.com/media/v/chem-u10-ch5-c5.jpg?v=f5f2ddeb31-000643Group 18: Noble Gases and Xenon Compounds | JEE Chemistry (English)Group 18 noble gases for JEE Main and Advanced: closed shells, ionisation enthalpies and boiling points, uses of helium and argon, Bartlett's first xenon compound, preparation of XeF2, XeF4 and XeF6, their hydrolysis and disproportionation, shapes and hybridisation of xenon compounds, and solved problems on oxidation states and lone pairs.https://rankdeterminant.com/media/v/chem-u10-ch5-c5.mp4?v=f5f2ddeb31-0006434892026-10-20yes https://rankdeterminant.com/v/chem-u10-ch6-c1https://rankdeterminant.com/media/v/chem-u10-ch6-c1.jpg?v=f1a7d6e89f-151f52Overview | JEE Chemistry (English)How to use the p-block mixed problem sets for JEE Main: the three question types (counting lone pairs, pi bonds, bridges and oxidation states; statement pairs; reactions of the important compounds), and three solved problems: the PbO2 and SnCl2 statement pair, the total lone pairs in XeF4, and the volume of ammonia at STP from magnesium nitride and water.https://rankdeterminant.com/media/v/chem-u10-ch6-c1.mp4?v=f1a7d6e89f-151f524382026-10-20yes https://rankdeterminant.com/v/chem-u10-ch6-c2https://rankdeterminant.com/media/v/chem-u10-ch6-c2.jpg?v=860cf3789b-d5e4c7Mixed Problems: Set 1 (Groups 13 and 14) | JEE Chemistry (English)JEE Main-pattern mixed problems on groups 13 and 14 of the p-block, solved step by step: the double bonds in C60, why BF3 is the weakest Lewis acid of the boron trihalides (back bonding), a sheet silicate from its oxygen count, the PbO2 and SnCl2 statement pair, banana bonds in diborane with the sp3 borons of borax, and a borax titration with HCl.https://rankdeterminant.com/media/v/chem-u10-ch6-c2.mp4?v=860cf3789b-d5e4c75282026-10-20yes https://rankdeterminant.com/v/chem-u10-ch6-c3https://rankdeterminant.com/media/v/chem-u10-ch6-c3.jpg?v=403f03270a-8d4172Mixed Problems: Set 2 (Groups 15 and 16) | JEE Chemistry (English)Mixed p-block problems, Set 2, for JEE Main (groups 15 and 16): why one mole of hypophosphorous acid H3PO2 needs only one mole of NaOH, oxidation states of phosphorus, disproportionation of HNO2 and of H3PO3 on heating, why NF3 is a very weak base compared with NH3, and the ozone volume trap: 30 mL of ozone increases the volume by 15 mL, not 45.https://rankdeterminant.com/media/v/chem-u10-ch6-c3.mp4?v=403f03270a-8d41724302026-10-20yes https://rankdeterminant.com/v/chem-u10-ch6-c4https://rankdeterminant.com/media/v/chem-u10-ch6-c4.jpg?v=e253c1e930-9411caMixed Problems: Set 3 (Groups 17 and 18) | JEE Chemistry (English)Groups 17 and 18 mixed problems for JEE Main: chlorine disproportionating in cold and in hot alkali, why fluorine displaces every other halogen, why HF is a weaker acid than HCl yet boils higher, hybridisation of BrF3 and IF7 by counting electron pairs, the moles of NaClO3 from 3 mol of Cl2, and the percentage of available chlorine in bleaching powder by iodometric titration with thiosulphate.https://rankdeterminant.com/media/v/chem-u10-ch6-c4.mp4?v=e253c1e930-9411ca5372026-10-20yes https://rankdeterminant.com/v/chem-u10-ch7-c1https://rankdeterminant.com/media/v/chem-u10-ch7-c1.jpg?v=bae738ed3f-940a71Overview | JEE Chemistry (English)How to use the p-Block unit problem bank: Part A as a 30-minute JEE Main test after Chapters 1 to 6, Part B counting and reaction-sequence problems at JEE Advanced level, and Part C statement traps such as a B–B bond in diborane and PbO2 as a peroxide. Two solved problems: the oxidation state of sulphur in Caro's acid, and counting same-element bonds in B2H6, borazine, N2O, N2O4, H2S2O3 and H2S2O8.https://rankdeterminant.com/media/v/chem-u10-ch7-c1.mp4?v=bae738ed3f-940a714642026-10-20yes https://rankdeterminant.com/v/chem-u10-ch7-c2https://rankdeterminant.com/media/v/chem-u10-ch7-c2.jpg?v=9dbe6166f4-99fd61Part A: JEE Main Level | JEE Chemistry (English)Two JEE Main-level p-block problems solved step by step: the oxidation state of sulphur in Caro's acid, H2SO5, and its one O-O bond (why +8 is wrong), and the boiling point order PH3 < AsH3 < NH3 < SbH3, where hydrogen bonding does not put ammonia on top. Also: which oxides are true peroxides, and why PbO2 is not one.https://rankdeterminant.com/media/v/chem-u10-ch7-c2.mp4?v=9dbe6166f4-99fd614642026-10-20yes https://rankdeterminant.com/v/chem-u10-ch7-c4https://rankdeterminant.com/media/v/chem-u10-ch7-c4.jpg?v=86476b3fdd-926140Part C: Concept Checks | JEE Chemistry (English)Six p-block concept checks of the kind set as true or false statements in JEE: why diborane has no B–B bond, why graphite and not diamond is the stable form of carbon, why PbO2 is not a peroxide, why SF6 is not hydrolysed, why helium is heavier than hydrogen yet fills balloons, and why boric acid is a Lewis acid, not a Brønsted acid.https://rankdeterminant.com/media/v/chem-u10-ch7-c4.mp4?v=86476b3fdd-9261404962026-10-20yes https://rankdeterminant.com/v/chem-u11-ch1-c1https://rankdeterminant.com/media/v/chem-u11-ch1-c1.jpg?v=c37831030a-c7e9daPosition and Electronic Configuration | JEE Chemistry (English)Electronic configuration of the d-block for JEE Main and Advanced: where the four transition series sit, the general configuration (n-1)d1-10 ns1-2, why zinc is not a transition element but copper is, the chromium and copper exceptions, why ions lose their ns electrons first, and two solved problems on Cr3+, Cu2+ and ions with the same 3d5 configuration.https://rankdeterminant.com/media/v/chem-u11-ch1-c1.mp4?v=c37831030a-c7e9da5272026-10-20yes https://rankdeterminant.com/v/chem-u11-ch1-c2https://rankdeterminant.com/media/v/chem-u11-ch1-c2.jpg?v=54a45ceb1d-df3befSize, Density, Melting Point and Atomisation | JEE Chemistry (English)Physical trends of the transition elements for JEE: why atomic radii fall and then stay nearly constant, why Zr and Hf are almost the same size (the lanthanoid contraction), why density rises across a series, and why melting points and enthalpies of atomisation peak near the middle, dip at Mn and are low for Zn, Cd and Hg, with two solved problems from the course.https://rankdeterminant.com/media/v/chem-u11-ch1-c2.mp4?v=54a45ceb1d-df3bef5152026-10-20yes https://rankdeterminant.com/v/chem-u11-ch1-c3https://rankdeterminant.com/media/v/chem-u11-ch1-c3.jpg?v=fa4cba4bc7-693462Ionisation Enthalpies | JEE Chemistry (English)Ionisation enthalpies of the 3d transition elements for JEE: why the first ionisation enthalpy rises so slowly across the series, why the second is high for Cr and Cu but lower for Zn, why the third is unusually high for Mn and comparatively low for Fe, and why 5d elements have higher values than 4d (the lanthanoid contraction), with two solved problems from the course.https://rankdeterminant.com/media/v/chem-u11-ch1-c3.mp4?v=fa4cba4bc7-6934624932026-10-20yes https://rankdeterminant.com/v/chem-u11-ch1-c4https://rankdeterminant.com/media/v/chem-u11-ch1-c4.jpg?v=ee69050933-3399a6Oxidation States and Oxides | JEE Chemistry (English)Oxidation states of the transition elements for JEE: why so many states occur, the maximum up to Mn (+7), why +2 is the most common in the 3d series, why Mn reaches +7 in Mn2O7 but only +4 in MnF4, low states with CO, the trend down a group, and basic, amphoteric and acidic oxides, with two solved problems including CrO5 and Fe(CO)5.https://rankdeterminant.com/media/v/chem-u11-ch1-c4.mp4?v=ee69050933-3399a65062026-10-20yes https://rankdeterminant.com/v/chem-u11-ch1-c5https://rankdeterminant.com/media/v/chem-u11-ch1-c5.jpg?v=14f49901ea-fb8a83Electrode Potentials and Reactivity | JEE Chemistry (English)Standard electrode potentials of the 3d transition metals for JEE: why only copper has a positive M2+/M value and gives no hydrogen with dilute acids, why Mn, Ni and Zn are more negative than the trend, why Cr2+ is a strong reducing agent, Mn3+ a strong oxidising agent and Co3+ oxidises water, and why Cu+ disproportionates in water, with two solved problems from the course.https://rankdeterminant.com/media/v/chem-u11-ch1-c5.mp4?v=14f49901ea-fb8a835212026-10-20yes https://rankdeterminant.com/v/chem-u11-ch2-c1https://rankdeterminant.com/media/v/chem-u11-ch2-c1.jpg?v=58cebcbd00-322a0aMagnetic Properties | JEE Chemistry (English)Spin-only magnetic moment of transition metal ions for JEE: paramagnetic, diamagnetic and ferromagnetic substances, the formula mu = root n(n+2) BM, the five values from 1.73 to 5.92 BM, counting unpaired electrons with Hund's rule from d1 to d10, the d10 trap, and two solved problems on Fe2+, Fe3+ and the ions with 3.87 BM.https://rankdeterminant.com/media/v/chem-u11-ch2-c1.mp4?v=58cebcbd00-322a0a4902026-10-20yes https://rankdeterminant.com/v/chem-u11-ch2-c2https://rankdeterminant.com/media/v/chem-u11-ch2-c2.jpg?v=1004592609-340aa0Colour of Transition Metal Compounds | JEE Chemistry (English)Why transition metal compounds are coloured, for JEE: the d-d transition in a ligand field, the complementary colour rule, why d0 and d10 ions such as Sc3+, Zn2+ and Cu+ are colourless, the colours of hydrated ions, why blue vitriol is blue but anhydrous copper sulphate is white, and charge transfer in KMnO4, chromate and dichromate, with two solved problems from the course.https://rankdeterminant.com/media/v/chem-u11-ch2-c2.mp4?v=1004592609-340aa04682026-10-20yes https://rankdeterminant.com/v/chem-u11-ch2-c3https://rankdeterminant.com/media/v/chem-u11-ch2-c3.jpg?v=821d3765f5-bea136Catalysis, Complexes, Interstitial Compounds and Alloys | JEE Chemistry (English)Why transition metals are good catalysts (variable oxidation states and surface adsorption), the catalysts to know for the Haber, contact, Ziegler–Natta, Wacker and Deacon processes, why they form so many complexes, interstitial compounds like TiH1.7, alloys and the German silver trap, and how Fe3+ catalyses the reaction of iodide with peroxodisulphate.https://rankdeterminant.com/media/v/chem-u11-ch2-c3.mp4?v=821d3765f5-bea1365042026-10-20yes https://rankdeterminant.com/v/chem-u11-ch3-c1https://rankdeterminant.com/media/v/chem-u11-ch3-c1.jpg?v=6ca127c9b0-ed7ac5Potassium Dichromate | JEE Chemistry (English)Potassium dichromate for JEE Chemistry: preparation from chromite ore, the chromate and dichromate equilibrium (yellow in base, orange in acid), the corner-sharing structure of the dichromate ion, dichromate as an oxidising agent in acid with n-factor 6 (orange to green, the breath analyser), the chromyl chloride test, blue CrO5 and the ammonium dichromate volcano, with two solved problems from the course.https://rankdeterminant.com/media/v/chem-u11-ch3-c1.mp4?v=6ca127c9b0-ed7ac55252026-10-20yes https://rankdeterminant.com/v/chem-u11-ch3-c2https://rankdeterminant.com/media/v/chem-u11-ch3-c2.jpg?v=c867985760-eaa380Potassium Permanganate | JEE Chemistry (English)Potassium permanganate for JEE: making it from pyrolusite through green manganate, the disproportionation of manganate, why the d0 permanganate ion is purple, its half equations in acid, neutral and strongly alkaline solution, why titrations are never done in HCl, and its equivalent mass of 31.6, 52.7 or 158.https://rankdeterminant.com/media/v/chem-u11-ch3-c2.mp4?v=c867985760-eaa3805272026-10-20yes https://rankdeterminant.com/v/chem-u11-ch3-c3https://rankdeterminant.com/media/v/chem-u11-ch3-c3.jpg?v=e5a776488c-3866e4Titrations and Calculations | JEE Chemistry (English)Redox titration calculations for JEE Chemistry: equivalents of oxidant equal equivalents of reductant (n1M1V1 = n2M2V2), the n-factor of KMnO4 in acid, neutral and strongly alkaline media, K2Cr2O7 with n-factor 6, the reductants Fe2+, oxalate, FeC2O4, H2O2, iodide and thiosulphate, Mohr's salt as a primary standard, and two solved titration problems with the classic traps.https://rankdeterminant.com/media/v/chem-u11-ch3-c3.mp4?v=e5a776488c-3866e45082026-10-20yes https://rankdeterminant.com/v/chem-u11-ch4-c1https://rankdeterminant.com/media/v/chem-u11-ch4-c1.jpg?v=a0f49317c8-a838bcIron and Its Compounds | JEE Chemistry (English)Iron and its compounds for JEE: iron with dilute acids, why concentrated nitric acid makes iron passive, heating green vitriol, why anhydrous FeCl3 needs dry chlorine, the oxides of iron and rust, ferrous versus ferric compounds, the thiocyanate, Prussian blue, Turnbull's blue and brown ring tests, and two solved problems on Fe3O4 and very dilute nitric acid.https://rankdeterminant.com/media/v/chem-u11-ch4-c1.mp4?v=a0f49317c8-a838bc5022026-10-20yes https://rankdeterminant.com/v/chem-u11-ch4-c2https://rankdeterminant.com/media/v/chem-u11-ch4-c2.jpg?v=dc4b68d2ff-905ac4Copper and Its Compounds | JEE Chemistry (English)Copper and its compounds for JEE: why copper gives no hydrogen with dilute HCl yet dissolves in nitric acid, its reactions with dilute and concentrated nitric acid and hot concentrated sulphuric acid, the structure of blue vitriol, copper sulphate with KI, KCN and ammonia, the green patina, and Fehling's solution, with two solved problems.https://rankdeterminant.com/media/v/chem-u11-ch4-c2.mp4?v=dc4b68d2ff-905ac45092026-10-20yes https://rankdeterminant.com/v/chem-u11-ch4-c3https://rankdeterminant.com/media/v/chem-u11-ch4-c3.jpg?v=fd27d63dc3-f78835Zinc, Mercury, Silver and Gold | JEE Chemistry (English)Zinc, mercury, silver and gold for JEE Chemistry: amphoteric zinc with acid and alkali, ZnO white when cold and yellow when hot, zinc with nitric acid, calomel turning black with ammonia, HgI2 in excess KI and Nessler's reagent, why AgF is soluble, photography with hypo, tarnishing of silver, gold in aqua regia, and two solved problems.https://rankdeterminant.com/media/v/chem-u11-ch4-c3.mp4?v=fd27d63dc3-f788355132026-10-20yes https://rankdeterminant.com/v/chem-u11-ch4-c4https://rankdeterminant.com/media/v/chem-u11-ch4-c4.jpg?v=ef215d5308-384d4aExtraction of the Metals | JEE Chemistry (English)Extraction of metals for JEE Chemistry: concentration and froth flotation (collector, stabiliser, depressant), calcination versus roasting, the Ellingham diagram, the blast furnace with CO as the actual reductant and limestone removing silica as slag, copper from pyrites by self-reduction, zinc, the cyanide process for silver and gold, and the refining methods, with two solved problems.https://rankdeterminant.com/media/v/chem-u11-ch4-c4.mp4?v=ef215d5308-384d4a4942026-10-20yes https://rankdeterminant.com/v/chem-u11-ch5-c1https://rankdeterminant.com/media/v/chem-u11-ch5-c1.jpg?v=48e492b458-2a8793The Lanthanoids: Configurations and Oxidation States | JEE Chemistry (English)Electronic configuration of the lanthanoids for JEE: the general configuration with the xenon core, why only La, Ce, Gd and Lu have a 5d electron, how to write Ln3+ and other ions, why +3 is the characteristic oxidation state, Eu2+ and Yb2+ as reductants, Ce4+ and Tb4+ as oxidants, and why the third ionisation enthalpy of europium is high but that of gadolinium is low, with two solved problems.https://rankdeterminant.com/media/v/chem-u11-ch5-c1.mp4?v=48e492b458-2a87935272026-10-20yes https://rankdeterminant.com/v/chem-u11-ch5-c2https://rankdeterminant.com/media/v/chem-u11-ch5-c2.jpg?v=26281c1b0e-8e5d8fThe Lanthanoid Contraction and Its Consequences | JEE Chemistry (English)The lanthanoid contraction for JEE Chemistry: why the radii fall from La to Lu, the cause (poor shielding by 4f electrons), and its consequences: zirconium and hafnium of almost the same size, lanthanoids hard to separate, falling basicity of the hydroxides, Y3+ close to Ho3+, plus two solved problems with the classic ordering trap.https://rankdeterminant.com/media/v/chem-u11-ch5-c2.mp4?v=26281c1b0e-8e5d8f4292026-10-20yes https://rankdeterminant.com/v/chem-u11-ch5-c3https://rankdeterminant.com/media/v/chem-u11-ch5-c3.jpg?v=d3f00ef57f-82fe48Properties and Uses of the Lanthanoids | JEE Chemistry (English)Properties and uses of the lanthanoids for JEE Chemistry: reactive metals similar to calcium (hydrogen from water, the oxide, nitride, carbides and halides), mainly ionic compounds of the large Ln3+ ion, f-f transitions and colour, why La3+ and Lu3+ are colourless and diamagnetic, the Gd3+ trap, misch metal and other uses, with two solved problems.https://rankdeterminant.com/media/v/chem-u11-ch5-c3.mp4?v=d3f00ef57f-82fe484532026-10-20yes https://rankdeterminant.com/v/chem-u11-ch5-c4https://rankdeterminant.com/media/v/chem-u11-ch5-c4.jpg?v=2df2257eac-16f6c1The Actinoids | JEE Chemistry (English)The actinoids for JEE, thorium to lawrencium: the general configuration with the radon core, the configurations of Th, U, Pu, Am and Cm, why actinoids show many more oxidation states than the lanthanoids (up to +7 for Np and Pu), the uranyl ion, why the actinoid contraction is greater, and how actinoids differ from lanthanoids, with two solved problems on oxidation states and unpaired electrons.https://rankdeterminant.com/media/v/chem-u11-ch5-c4.mp4?v=2df2257eac-16f6c14482026-10-20yes https://rankdeterminant.com/v/chem-u11-ch5-c5https://rankdeterminant.com/media/v/chem-u11-ch5-c5.jpg?v=9720343554-a6177eAIEEE and Earlier JEE Main Questions: The f-Block | JEE Chemistry (English)Older AIEEE and JEE Main questions on the f-block, solved and explained: the lanthanoid contraction and its cause, the +3, +2 and +4 states of the lanthanoids, cerium(IV) as an oxidant, why most Ln3+ ions are coloured, and why the actinoids show more oxidation states, with two past-paper problems and the traps hidden in their options.https://rankdeterminant.com/media/v/chem-u11-ch5-c5.mp4?v=9720343554-a6177e5152026-10-20yes https://rankdeterminant.com/v/chem-u11-ch6-c1https://rankdeterminant.com/media/v/chem-u11-ch6-c1.jpg?v=0bb36507b6-4f6c9aOverview | JEE Chemistry (English)How to use the d- and f-block mixed problem sets for JEE Main: the question types (magnetic moment and colour counts, permanganate and dichromate reactions, lanthanoid statements), the spin-only formula, n-factors that change with the medium, and two solved problems: which ion has the same moment as Fe2+, and the volume of dichromate that oxidises Fe2+.https://rankdeterminant.com/media/v/chem-u11-ch6-c1.mp4?v=0bb36507b6-4f6c9a4972026-10-20yes https://rankdeterminant.com/v/chem-u11-ch6-c2https://rankdeterminant.com/media/v/chem-u11-ch6-c2.jpg?v=7bea30c74c-03c935Mixed Problems: Set 1 (Properties and Magnetism) | JEE Chemistry (English)JEE Main-pattern mixed problems on the d-block, solved step by step: counting unpaired electrons in ions such as Fe3+, the spin-only magnetic moment of Cr3+, why Zn2+ is colourless, the highest oxidation state of vanadium, the only positive electrode potential in the 3d series, Mn3+ and Fe2+ with the same moment, and why chromium has the highest second ionisation enthalpy.https://rankdeterminant.com/media/v/chem-u11-ch6-c2.mp4?v=7bea30c74c-03c9354762026-10-20yes https://rankdeterminant.com/v/chem-u11-ch6-c3https://rankdeterminant.com/media/v/chem-u11-ch6-c3.jpg?v=f88772cee3-3866e0Mixed Problems: Set 2 (Dichromate, Permanganate and Other Compounds) | JEE Chemistry (English)Set 2 of the mixed JEE Main-pattern d-block problems: the n-factor of KMnO4 in acid, neutral and strongly alkaline solution, the oxidation state of Cr in CrO2Cl2, why dichromate has an n-factor of 6, why H2O2 gives oxygen with acidified KMnO4 and needs 0.4 mol of it, why green K2MnO4 turns purple with CO2 (disproportionation), and why CuSO4 with excess KI gives 0.5 mol of iodine, not 1.https://rankdeterminant.com/media/v/chem-u11-ch6-c3.mp4?v=f88772cee3-3866e04902026-10-20yes https://rankdeterminant.com/v/chem-u11-ch6-c4https://rankdeterminant.com/media/v/chem-u11-ch6-c4.jpg?v=42e17d0168-bb55c6Mixed Problems: Set 3 (Metals and the f-Block) | JEE Chemistry (English)Lanthanoids, actinoids and metals mixed problems for JEE Main: Ln3+ configurations and the half-filled 4f7 Gd3+ ion, the lanthanoid contraction and the basicity of Ln(OH)3, the +7 state of plutonium, calamine, blast furnace slag and the Mond process, and two solved problems: the spin-only moment of Ce3+ and the volume of hydrogen at STP when zinc dissolves in NaOH.https://rankdeterminant.com/media/v/chem-u11-ch6-c4.mp4?v=42e17d0168-bb55c65012026-10-20yes https://rankdeterminant.com/v/chem-u11-ch7-c1https://rankdeterminant.com/media/v/chem-u11-ch7-c1.jpg?v=210bb887ed-f3c10dOverview | JEE Chemistry (English)How to use the d- and f-block unit problem bank: Part A as a 30-minute JEE Main test after Chapters 1 to 6, Part B identification and calculation problems at JEE Advanced level, and Part C statement checks, such as why KMnO4 is purple with no d electrons and how the medium changes the product of permanganate. Two solved problems: moles of KMnO4 per mole of FeSO4, and the percentage of iron from a titration.https://rankdeterminant.com/media/v/chem-u11-ch7-c1.mp4?v=210bb887ed-f3c10d5062026-10-20yes https://rankdeterminant.com/v/chem-u11-ch7-c2https://rankdeterminant.com/media/v/chem-u11-ch7-c2.jpg?v=6fe9fb9840-301d69Part A: JEE Main Level | JEE Chemistry (English)Two JEE Main-level d-block problems solved step by step: how many moles of KMnO4 oxidise one mole of FeSO4 in acid (0.2, not 1 and not 5), and why Cr2+ is a stronger reducing agent than Fe2+, from E° values and the stable d3 configuration. Also: the n-factor of permanganate in acid and neutral solution, dichromate's n-factor of 6, and the equivalent mass of K2Cr2O7.https://rankdeterminant.com/media/v/chem-u11-ch7-c2.mp4?v=6fe9fb9840-301d694982026-10-20yes https://rankdeterminant.com/v/chem-u11-ch7-c4https://rankdeterminant.com/media/v/chem-u11-ch7-c4.jpg?v=a40f81195b-07c102Part C: Concept Checks | JEE Chemistry (English)Six quick d and f block concept checks for JEE: why zinc is not a transition element, which lanthanoids show +4, why mercury is a liquid, why KMnO4 is purple with no d electrons (charge transfer, not d-d), and two solved problems: is chromate to dichromate a redox change, and what permanganate gives in acid, neutral and strongly alkaline media.https://rankdeterminant.com/media/v/chem-u11-ch7-c4.mp4?v=a40f81195b-07c1025242026-10-20yes https://rankdeterminant.com/v/chem-u12-ch1-c1https://rankdeterminant.com/media/v/chem-u12-ch1-c1.jpg?v=99c33e93a6-004520Werner's Theory and Basic Terms | JEE Chemistry (English)Werner's theory for JEE Main and Advanced: double salt versus complex (Mohr's salt and potassium ferrocyanide), primary and secondary valency, coordination entity, counter ions, coordination number, coordination polyhedron, oxidation number, homoleptic and heteroleptic complexes, and two solved problems: the valencies of platinum and Werner's cobalt ammine chlorides with silver nitrate.https://rankdeterminant.com/media/v/chem-u12-ch1-c1.mp4?v=99c33e93a6-0045205062026-10-20yes https://rankdeterminant.com/v/chem-u12-ch1-c2https://rankdeterminant.com/media/v/chem-u12-ch1-c2.jpg?v=5ccca9ce07-1adc56Ligands, Denticity and Chelates | JEE Chemistry (English)Donor atoms and denticity for JEE Chemistry: monodentate, bidentate and polydentate ligands such as en, oxalate, dien, trien and EDTA, ambidentate ligands like nitrito-N and nitrito-O, why en is not ambidentate, chelates and the chelate effect, and two solved problems from the course, including how many chelate rings EDTA forms round a metal ion.https://rankdeterminant.com/media/v/chem-u12-ch1-c2.mp4?v=5ccca9ce07-1adc565082026-10-20yes https://rankdeterminant.com/v/chem-u12-ch1-c3https://rankdeterminant.com/media/v/chem-u12-ch1-c3.jpg?v=2674dc9654-87845bEffective Atomic Number and the 18-Electron Rule | JEE Chemistry (English)How to find the effective atomic number of the metal in a coordination compound: EAN = Z minus the oxidation state plus two times the coordination number, the noble-gas targets 36, 54 and 86, the 18-electron rule in metal carbonyls, the charge versus oxidation state trap, and two solved problems on K4[Fe(CN)6], [Co(NH3)6]3+ and why manganese carbonyl is Mn2(CO)10.https://rankdeterminant.com/media/v/chem-u12-ch1-c3.mp4?v=2674dc9654-87845b5082026-10-20yes https://rankdeterminant.com/v/chem-u12-ch2-c1https://rankdeterminant.com/media/v/chem-u12-ch2-c1.jpg?v=16b102d914-fc0866Rules for Formulae and Names | JEE Chemistry (English)How to write formulae and IUPAC names of coordination compounds for JEE Main and Advanced: ligand order, ignoring di and bis, oxidation state in Roman numerals, -ido and -ato ligand names, nitrito-N and nitrito-O, aqua and ammine, bis and tris, the -ate ending with ferrate and argentate, and two solved problems: K4[Fe(CN)6], K3[Fe(CN)6] and [CoCl2(en)2]Cl.https://rankdeterminant.com/media/v/chem-u12-ch2-c1.mp4?v=16b102d914-fc08665762026-10-20yes https://rankdeterminant.com/v/chem-u12-ch2-c2https://rankdeterminant.com/media/v/chem-u12-ch2-c2.jpg?v=5bbc9b6718-88c6d4From Names to Formulae | JEE Chemistry (English)How to write the formula of a coordination compound from its IUPAC name: number prefixes like tetra and tris, ligand names such as ammine, aqua, chlorido and cyanido, the oxidation state in Roman numerals, the -ate ending of anionic complexes, the charge of the complex, and balancing counter ions, with solved problems from the course including Prussian blue.https://rankdeterminant.com/media/v/chem-u12-ch2-c2.mp4?v=5bbc9b6718-88c6d44862026-10-20yes https://rankdeterminant.com/v/chem-u12-ch3-c1https://rankdeterminant.com/media/v/chem-u12-ch3-c1.jpg?v=67d5aedadb-569925Structural Isomerism | JEE Chemistry (English)Structural isomerism in coordination compounds for JEE Chemistry: ionisation, hydrate (solvate), linkage and coordination isomers with the course's own examples, why the three forms of CrCl3·6H2O are violet, blue-green and green, the chloride-for-chloride trap, and two solved problems using BaCl2 and AgNO3 tests.https://rankdeterminant.com/media/v/chem-u12-ch3-c1.mp4?v=67d5aedadb-5699255262026-10-20yes https://rankdeterminant.com/v/chem-u12-ch3-c2https://rankdeterminant.com/media/v/chem-u12-ch3-c2.jpg?v=2ff3cc6728-b69549Geometrical Isomerism | JEE Chemistry (English)Geometrical isomerism in coordination compounds: cis and trans forms of square planar MA2B2 and octahedral MA4B2, fac and mer isomers of MA3B3, why tetrahedral complexes show none, bidentate ligands like en and glycinate, a three-step counting strategy, and two solved course problems: cis-platin and the five geometrical isomers of MA2B2C2.https://rankdeterminant.com/media/v/chem-u12-ch3-c2.mp4?v=2ff3cc6728-b695495002026-10-20yes https://rankdeterminant.com/v/chem-u12-ch3-c3https://rankdeterminant.com/media/v/chem-u12-ch3-c3.jpg?v=d9f4013bf3-15bea4Optical Isomerism and Total Stereoisomers | JEE Chemistry (English)Optical isomerism in coordination compounds for JEE Chemistry: what makes a complex chiral, why square-planar complexes are almost never chiral, the chiral octahedral types M(AA)3, cis-M(AA)2B2, all-cis MA2B2C2 and M(AB)3, the rule for counting total stereoisomers with its classic trap, and two solved problems on [Co(en)2Cl2]+ and [Co(en)(NH3)2Cl2]+.https://rankdeterminant.com/media/v/chem-u12-ch3-c3.mp4?v=d9f4013bf3-15bea45132026-10-20yes https://rankdeterminant.com/v/chem-u12-ch4-c1https://rankdeterminant.com/media/v/chem-u12-ch4-c1.jpg?v=790b8d9713-9cc517Hybridisation and Geometry | JEE Chemistry (English)Hybridisation and geometry of coordination compounds by valence bond theory: how the coordination number gives sp, sp3, dsp2, dsp3, d2sp3 and sp3d2 and the shape, inner- versus outer-orbital complexes, which ligands force pairing, the d-electron shortcuts with the d8 trap, and two solved problems on [Zn(NH3)4]2+ and on [Co(NH3)6]3+ versus [CoF6]3-.https://rankdeterminant.com/media/v/chem-u12-ch4-c1.mp4?v=790b8d9713-9cc5175272026-10-20yes https://rankdeterminant.com/v/chem-u12-ch4-c2https://rankdeterminant.com/media/v/chem-u12-ch4-c2.jpg?v=f07dea3131-1b9dc4Magnetic Moments | JEE Chemistry (English)Spin-only magnetic moment of coordination compounds: paramagnetic and diamagnetic, the formula mu = root n(n+2) BM, the five values from 1.73 to 5.92 BM, going backwards from a moment to the number of unpaired electrons, high and low spin for d4 to d7, the d6 low-spin trap, and two solved course problems on an iron complex and a manganese(III) complex.https://rankdeterminant.com/media/v/chem-u12-ch4-c2.mp4?v=f07dea3131-1b9dc45012026-10-20yes https://rankdeterminant.com/v/chem-u12-ch4-c3https://rankdeterminant.com/media/v/chem-u12-ch4-c3.jpg?v=c687aada60-6119aaA Four-Step Method, and the Limits of VBT | JEE Chemistry (English)Valence bond theory in four steps: find the oxidation state and d-electron count, judge the ligand as strong or weak, place the electrons, then read off the hybridisation, geometry, unpaired electrons and spin-only moment. Covers the water and ammonia trap, the limitations of VBT, and two solved course problems on [FeCl4]- and [Mn(CN)6]4-.https://rankdeterminant.com/media/v/chem-u12-ch4-c3.mp4?v=c687aada60-6119aa5482026-10-20yes https://rankdeterminant.com/v/chem-u12-ch5-c1https://rankdeterminant.com/media/v/chem-u12-ch5-c1.jpg?v=d1076530e4-7a29a0Crystal Field Splitting | JEE Chemistry (English)Crystal field splitting of the d orbitals for JEE chemistry: ligands as point negative charges, why eg rises by 0.6 Delta-o and t2g falls by 0.4 Delta-o about the barycentre, the flipped tetrahedral order with Delta-t about 4/9 of Delta-o, why tetrahedral complexes are high spin, and why square planar d8 complexes such as [Ni(CN)4]2- are diamagnetic, with two solved problems.https://rankdeterminant.com/media/v/chem-u12-ch5-c1.mp4?v=d1076530e4-7a29a04752026-10-20yes https://rankdeterminant.com/v/chem-u12-ch5-c2https://rankdeterminant.com/media/v/chem-u12-ch5-c2.jpg?v=2a1dbb9eff-2a281bThe Spectrochemical Series and the Size of Δ | JEE Chemistry (English)The spectrochemical series from iodide to carbon monoxide, weak and strong field ligands, and the four factors that make the crystal field splitting large: a stronger ligand, a higher oxidation state, going from 3d to 4d to 5d, and geometry (tetrahedral is about 4/9 of octahedral). Why water beats fluoride, where crystal field theory falls short, and two solved course problems on chromium and nickel complexes.https://rankdeterminant.com/media/v/chem-u12-ch5-c2.mp4?v=2a1dbb9eff-2a281b4862026-10-20yes https://rankdeterminant.com/v/chem-u12-ch5-c3https://rankdeterminant.com/media/v/chem-u12-ch5-c3.jpg?v=d5b239c88e-e25481High Spin, Low Spin and CFSE | JEE Chemistry (English)High spin and low spin complexes and crystal field stabilisation energy for JEE chemistry: why the fourth d electron chooses between Delta-o and the pairing energy P, the CFSE rule of -0.4 per t2g and +0.6 per eg electron, counting only the extra pairings, why only d4 to d7 have a choice, and two solved problems on [CoF6]3-, [Co(NH3)6]3+ and a d4 ion.https://rankdeterminant.com/media/v/chem-u12-ch5-c3.mp4?v=d5b239c88e-e254814762026-10-20yes https://rankdeterminant.com/v/chem-u12-ch5-c4https://rankdeterminant.com/media/v/chem-u12-ch5-c4.jpg?v=be1aa73717-15d05bColour of Complexes | JEE Chemistry (English)Why coordination complexes are coloured, for JEE chemistry: the d-d transition from t2g to eg, why we see the complementary colour of the light absorbed, the complementary colour table, Delta-o from the wavelength (hc over lambda, per mole, wavenumber), why d0 and d10 ions are colourless, charge transfer in KMnO4, and why anhydrous CuSO4 is white, with two solved problems.https://rankdeterminant.com/media/v/chem-u12-ch5-c4.mp4?v=be1aa73717-15d05b4682026-10-20yes https://rankdeterminant.com/v/chem-u12-ch5-c5https://rankdeterminant.com/media/v/chem-u12-ch5-c5.jpg?v=608aef5ede-34e24fLimitations of Crystal Field Theory | JEE Chemistry (English)What crystal field theory explains well and where it fails: why it cannot explain the order of the spectrochemical series (fluoride weaker than water, neutral CO the strongest ligand), why it ignores covalent character and pi bonding, how ligand field and molecular orbital theory fix this, and two solved course questions, including CFT versus VBT.https://rankdeterminant.com/media/v/chem-u12-ch5-c5.mp4?v=608aef5ede-34e24f4662026-10-20yes https://rankdeterminant.com/v/chem-u12-ch6-c1https://rankdeterminant.com/media/v/chem-u12-ch6-c1.jpg?v=7c2cded932-292780Metal Carbonyls | JEE Chemistry (English)Metal carbonyls for JEE chemistry: Ni(CO)4, Fe(CO)5 and Cr(CO)6 and the 18-electron rule, why V(CO)6 is paramagnetic, the Mn–Mn bond in Mn2(CO)10 (no bridging CO) and bridging CO in Co2(CO)8, synergic sigma donation and pi back donation, C–O bond length and stretching frequency, and why CO is the strongest ligand, with two solved problems.https://rankdeterminant.com/media/v/chem-u12-ch6-c1.mp4?v=7c2cded932-2927805152026-10-20yes https://rankdeterminant.com/v/chem-u12-ch6-c2https://rankdeterminant.com/media/v/chem-u12-ch6-c2.jpg?v=168f70e150-ed99c1Stability of Complexes | JEE Chemistry (English)How to measure the stability of a coordination complex: stepwise constants K1, K2, the overall stability constant beta as their product, log beta as a sum, the instability constant and delta G. What makes a complex stable: charge density, basic ligands, pi acceptors, the chelate effect explained by entropy, stable versus inert, and two solved course problems.https://rankdeterminant.com/media/v/chem-u12-ch6-c2.mp4?v=168f70e150-ed99c15242026-10-20yes https://rankdeterminant.com/v/chem-u12-ch6-c3https://rankdeterminant.com/media/v/chem-u12-ch6-c3.jpg?v=60dd44b061-5c42b9Applications of Coordination Compounds | JEE Chemistry (English)Where coordination compounds are used: tests for nickel, copper and iron ions, water hardness by EDTA titration, the cyanide and Mond processes, the metals in chlorophyll, haemoglobin and vitamin B12, cis-platin and chelation therapy, Wilkinson's and Ziegler–Natta catalysts, hypo and silver plating, with two solved course problems.https://rankdeterminant.com/media/v/chem-u12-ch6-c3.mp4?v=60dd44b061-5c42b95322026-10-20yes https://rankdeterminant.com/v/chem-u12-ch7-c1https://rankdeterminant.com/media/v/chem-u12-ch7-c1.jpg?v=4770b214f5-5aec43Overview | JEE Chemistry (English)How to attack coordination compounds questions in JEE Main: the common types (unpaired electrons, hybridisation, CFSE, isomer counts, IUPAC names, colour order), Werner's theory and the silver nitrate test, the four-step method for spin and magnetic moment, colour and synergic bonding, and two solved problems: AgCl from CoCl3·5NH3 and the spin-only moment of K3[Mn(CN)6].https://rankdeterminant.com/media/v/chem-u12-ch7-c1.mp4?v=4770b214f5-5aec434962026-10-20yes https://rankdeterminant.com/v/chem-u12-ch7-c2https://rankdeterminant.com/media/v/chem-u12-ch7-c2.jpg?v=c0276c2c74-18c3bbMixed Problems: Set 1 (Werner's Theory, Names and Isomers) | JEE Chemistry (English)Mixed JEE Main-pattern problems on coordination compounds, solved step by step: Werner's theory and the AgCl test (only ions outside the square bracket ionise), IUPAC names with ligands in alphabetical order, Roman numerals and the -ate ending, and counting geometrical isomers and stereoisomers of a cobalt complex with en, including the classic chiral-isomer trap.https://rankdeterminant.com/media/v/chem-u12-ch7-c2.mp4?v=c0276c2c74-18c3bb5332026-10-20yes https://rankdeterminant.com/v/chem-u12-ch7-c3https://rankdeterminant.com/media/v/chem-u12-ch7-c3.jpg?v=44b4c7b617-f3189bMixed Problems: Set 2 (Bonding, Magnetism and Crystal Fields) | JEE Chemistry (English)Spin-only magnetic moment, CFSE and high spin or low spin in one set of JEE Main-pattern coordination problems: the four-step method, strong and weak ligands (and why ammonia depends on the metal ion), the 1.73 to 5.92 BM table, Delta-o versus the pairing energy P, and two solved problems: the moment of K3[Mn(CN)6] and the unpaired electrons in [Co(NH3)6]3+ and [CoF6]3-.https://rankdeterminant.com/media/v/chem-u12-ch7-c3.mp4?v=44b4c7b617-f3189b5272026-10-20yes https://rankdeterminant.com/v/chem-u12-ch7-c4https://rankdeterminant.com/media/v/chem-u12-ch7-c4.jpg?v=1141b1f9fd-524179Mixed Problems: Set 3 (Colour, Carbonyls, Stability and Uses) | JEE Chemistry (English)Set 3 of the JEE Main-pattern mixed problems on coordination compounds: d–d transitions and the complementary colour, why d0 and d10 ions give no d–d colour, synergic bonding and the 18-electron rule in metal carbonyls, stepwise and overall stability constants, the chelate effect, key uses, and two solved problems: the colourless copper complex and the carbonyl that breaks the 18-electron rule.https://rankdeterminant.com/media/v/chem-u12-ch7-c4.mp4?v=1141b1f9fd-5241795172026-10-20yes https://rankdeterminant.com/v/chem-u12-ch8-c1https://rankdeterminant.com/media/v/chem-u12-ch8-c1.jpg?v=0166af4418-4ed71dOverview | JEE Chemistry (English)How to use the coordination compounds unit problem bank: Part A as a 30-minute JEE Main test after Chapters 1 to 7, Part B identification, counting and calculation problems at JEE Advanced level, and Part C statement checks. Why violet and green CoCl3·4NH3 are cis and trans isomers, plus two solved problems: ionisable chlorides from the AgCl test, and the formula of a platinum complex from its freezing point.https://rankdeterminant.com/media/v/chem-u12-ch8-c1.mp4?v=0166af4418-4ed71d5282026-10-20yes https://rankdeterminant.com/v/chem-u12-ch8-c2https://rankdeterminant.com/media/v/chem-u12-ch8-c2.jpg?v=16e3c90132-68caaePart A: JEE Main Level | JEE Chemistry (English)Coordination compounds problems at JEE Main level, solved step by step: which chlorides precipitate with silver nitrate (Werner's primary and secondary valency), ions per formula unit, the spin-only magnetic moment formula, high and low spin d6 cobalt(III), and the JEE Main 2017 CoCl3.6H2O question with its traps.https://rankdeterminant.com/media/v/chem-u12-ch8-c2.mp4?v=16e3c90132-68caae5222026-10-20yes https://rankdeterminant.com/v/chem-u12-ch8-c4https://rankdeterminant.com/media/v/chem-u12-ch8-c4.jpg?v=33be95df23-3d7faePart C: Concept Checks | JEE Chemistry (English)Seven quick coordination compound concept checks for JEE: why tetrahedral complexes show no geometrical isomerism, why square-planar MA2B2 is not optically active, why CO is a weak sigma donor but a strong pi acceptor, how back donation lengthens the C–O bond, why the tetrahedral splitting is about 4/9 of the octahedral one, and two solved problems: is every octahedral Co(III) complex diamagnetic, and must a paramagnetic one be outer orbital?https://rankdeterminant.com/media/v/chem-u12-ch8-c4.mp4?v=33be95df23-3d7fae5512026-10-20yes https://rankdeterminant.com/v/chem-u13-ch1-c1https://rankdeterminant.com/media/v/chem-u13-ch1-c1.jpg?v=9ec4f44347-927f7fPurity, and Separation by Solubility | JEE Chemistry (English)Purification of organic compounds for JEE Main and Advanced: the criteria of purity (sharp melting point, fixed boiling point, a single chromatography spot), the mixed melting point test, crystallisation step by step with activated charcoal and hot filtration, why the minimum amount of hot solvent is used, fractional crystallisation, percentage recovery, and two solved problems.https://rankdeterminant.com/media/v/chem-u13-ch1-c1.mp4?v=9ec4f44347-927f7f5262026-10-20yes https://rankdeterminant.com/v/chem-u13-ch1-c2https://rankdeterminant.com/media/v/chem-u13-ch1-c2.jpg?v=9ec2fd0b80-5646a7Sublimation | JEE Chemistry (English)Sublimation for JEE: how some solids pass straight into vapour and come back as solid by deposition, how a sublimable solid such as camphor, naphthalene or iodine is separated from non-sublimable impurities, why a low melting point is not enough, and two solved problems: naphthalene from common salt, and a naphthalene and camphor mixture.https://rankdeterminant.com/media/v/chem-u13-ch1-c2.mp4?v=9ec2fd0b80-5646a73742026-10-20yes https://rankdeterminant.com/v/chem-u13-ch1-c3https://rankdeterminant.com/media/v/chem-u13-ch1-c3.jpg?v=afb895aa2a-808020Distillation | JEE Chemistry (English)Distillation for JEE: simple distillation for widely different boiling points, fractional distillation with a fractionating column for close ones, why an azeotrope like rectified spirit cannot be separated, distillation under reduced pressure for glycerol, steam distillation below 100 °C with its mass ratio formula, the ortho and para nitrophenol trap, and two solved problems.https://rankdeterminant.com/media/v/chem-u13-ch1-c3.mp4?v=afb895aa2a-8080205142026-10-20yes https://rankdeterminant.com/v/chem-u13-ch1-c4https://rankdeterminant.com/media/v/chem-u13-ch1-c4.jpg?v=2c504d8516-09dd8cDifferential Extraction and Choosing a Method | JEE Chemistry (English)Differential (solvent) extraction for JEE: how an immiscible solvent such as ether pulls an organic compound out of water in a separating funnel, the distribution law, the formula for the fraction left after n extractions, why several small extractions beat one large one, how to choose the right purification method from the clue in the mixture, and two solved problems.https://rankdeterminant.com/media/v/chem-u13-ch1-c4.mp4?v=2c504d8516-09dd8c4762026-10-21yes https://rankdeterminant.com/v/chem-u13-ch2-c1https://rankdeterminant.com/media/v/chem-u13-ch2-c1.jpg?v=284e6e883a-f08bfcPrinciple of Chromatography | JEE Chemistry (English)The principle of chromatography for JEE: the stationary and mobile phases, why a component held more strongly moves more slowly, adsorption chromatography (column and TLC) versus partition chromatography (paper, where water in the pores is the stationary phase), how polarity decides movement on silica gel and alumina, what the separation does not depend on, and two solved problems on polarity and order of adsorption.https://rankdeterminant.com/media/v/chem-u13-ch2-c1.mp4?v=284e6e883a-f08bfc4462026-10-20yes https://rankdeterminant.com/v/chem-u13-ch2-c2https://rankdeterminant.com/media/v/chem-u13-ch2-c2.jpg?v=24014f44c1-e81e68Column Chromatography | JEE Chemistry (English)Column chromatography for JEE: how a mixture separates into bands on a silica gel or alumina column as the eluent flows down, why the least polar component comes out first and the most polar last, the typical order of elution, the link with TLC R f values, why the eluent is made gradually more polar, and two solved problems on plant pigments and bands.https://rankdeterminant.com/media/v/chem-u13-ch2-c2.mp4?v=24014f44c1-e81e684672026-10-20yes https://rankdeterminant.com/v/chem-u13-ch2-c3https://rankdeterminant.com/media/v/chem-u13-ch2-c3.jpg?v=d10dba6876-1a56dbThin-Layer Chromatography and R_f | JEE Chemistry (English)Thin-layer chromatography for JEE: how a TLC plate is set up, the retardation factor Rf (spot distance over solvent front distance, both from the base line), why Rf has no units and lies between 0 and 1, seeing colourless spots with ultraviolet light, iodine and ninhydrin, how polarity and the solvent change Rf, purity and identity checks, and two solved Rf problems with the base-line trap.https://rankdeterminant.com/media/v/chem-u13-ch2-c3.mp4?v=d10dba6876-1a56db4992026-10-20yes https://rankdeterminant.com/v/chem-u13-ch2-c4https://rankdeterminant.com/media/v/chem-u13-ch2-c4.jpg?v=17d75cb4da-5dd4f8Paper Chromatography | JEE Chemistry (English)Paper chromatography for JEE: why the water held in the pores of the paper is the stationary phase, how the solvent rises by capillary action, partition between two liquids, the Rf value measured from the base line, two-dimensional paper chromatography for overlapping spots, and two solved problems, including a JEE Main style ratio of Rf values.https://rankdeterminant.com/media/v/chem-u13-ch2-c4.mp4?v=17d75cb4da-5dd4f84552026-10-20yes https://rankdeterminant.com/v/chem-u13-ch3-c1https://rankdeterminant.com/media/v/chem-u13-ch3-c1.jpg?v=0e23645ca1-f8a0f3Carbon and Hydrogen; the Sodium Fusion Extract | JEE Chemistry (English)Lassaigne's sodium fusion test for JEE: why covalently bound nitrogen, sulphur and halogens give no ionic tests, how fusion with sodium makes NaCN, Na2S, NaX and NaSCN, how the extract is prepared and why with distilled water, detecting carbon and hydrogen with copper(II) oxide, why oxygen cannot be detected, and solved problems on hydrazine and thiourea.https://rankdeterminant.com/media/v/chem-u13-ch3-c1.mp4?v=0e23645ca1-f8a0f35202026-10-20yes https://rankdeterminant.com/v/chem-u13-ch3-c2https://rankdeterminant.com/media/v/chem-u13-ch3-c2.jpg?v=6981811d84-2de2b8Tests for Nitrogen and Sulphur | JEE Chemistry (English)Lassaigne's test for nitrogen and sulphur, step by step: the Prussian blue test with freshly prepared ferrous sulphate and why the extract is acidified, the lead acetate (black PbS) and sodium nitroprusside (violet) tests for sulphur, and why nitrogen with sulphur, fused with a little sodium, gives a blood-red colour with ferric chloride but no Prussian blue. Two solved course examples, with the classic thiocyanate trap.https://rankdeterminant.com/media/v/chem-u13-ch3-c2.mp4?v=6981811d84-2de2b85452026-10-20yes https://rankdeterminant.com/v/chem-u13-ch3-c3https://rankdeterminant.com/media/v/chem-u13-ch3-c3.jpg?v=a857a3d198-013a35Tests for Halogens and Phosphorus | JEE Chemistry (English)How to detect halogens and phosphorus in an organic compound: why the sodium fusion extract is boiled with nitric acid first, the colours and ammonia solubility of AgCl, AgBr and AgI, the layer test with chlorine water (orange-brown bromine, violet iodine), why Beilstein's test is not conclusive, and the yellow ammonium phosphomolybdate test for phosphorus, with two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u13-ch3-c3.mp4?v=a857a3d198-013a355272026-10-20yes https://rankdeterminant.com/v/chem-u13-ch4-c1https://rankdeterminant.com/media/v/chem-u13-ch4-c1.jpg?v=10fedb6bcf-d72ae6Carbon and Hydrogen | JEE Chemistry (English)Liebig's combustion method for estimating carbon and hydrogen in an organic compound: why copper(II) oxide is used, why the calcium chloride tube must come before the KOH tube, the percentage formulas with 12/44 and 2/18, oxygen by difference, and two solved course examples, ending with the empirical formula CH2O.https://rankdeterminant.com/media/v/chem-u13-ch4-c1.mp4?v=10fedb6bcf-d72ae65112026-10-20yes https://rankdeterminant.com/v/chem-u13-ch4-c2https://rankdeterminant.com/media/v/chem-u13-ch4-c2.jpg?v=7817b1677b-c864b7Nitrogen: Dumas' and Kjeldahl's Methods | JEE Chemistry (English)Estimation of nitrogen in organic compounds by Dumas' method and Kjeldahl's method: why the combustion is done in carbon dioxide, the aqueous tension correction and reduction to STP, the percentage of nitrogen formula, back titration and the meq of sulphuric acid, the 1.4 times meq over w shortcut, and why Kjeldahl fails for nitro, azo and pyridine nitrogen. Two solved course numericals with the classic traps.https://rankdeterminant.com/media/v/chem-u13-ch4-c2.mp4?v=7817b1677b-c864b75162026-10-20yes https://rankdeterminant.com/v/chem-u13-ch4-c3https://rankdeterminant.com/media/v/chem-u13-ch4-c3.jpg?v=d96ba3644b-de517aHalogens, Sulphur, Phosphorus and Oxygen | JEE Chemistry (English)How to find the percentage of halogens, sulphur, phosphorus and oxygen in an organic compound: Carius' method with fuming nitric acid and silver nitrate, one formula for every element, the fractions for AgCl, AgBr, AgI, BaSO4, Mg2P2O7 and ammonium phosphomolybdate, oxygen by difference, and two solved JEE-style problems, one ending in an empirical formula.https://rankdeterminant.com/media/v/chem-u13-ch4-c3.mp4?v=d96ba3644b-de517a4882026-10-20yes https://rankdeterminant.com/v/chem-u13-ch4-c4https://rankdeterminant.com/media/v/chem-u13-ch4-c4.jpg?v=f713747594-ff2687Earlier AIEEE and JEE Main Questions (2004–2016): Detection and Estimation | JEE Chemistry (English)Earlier AIEEE and JEE Main questions (2004 to 2016) on detecting and estimating elements in organic compounds, solved and explained: Prussian blue in Lassaigne's test for nitrogen, distillation under reduced pressure for glycerol, Kjeldahl's back titration with the meq of sulphuric acid, and Carius' method for bromine. Two solved numericals with the classic traps, including how one titration identifies urea.https://rankdeterminant.com/media/v/chem-u13-ch4-c4.mp4?v=f713747594-ff26875132026-10-20yes https://rankdeterminant.com/v/chem-u13-ch5-c1https://rankdeterminant.com/media/v/chem-u13-ch5-c1.jpg?v=543710505d-3c7d53Percentage Composition from a Formula | JEE Chemistry (English)How to find the percentage of each element in a compound from its molecular formula: number of atoms times atomic mass, over molar mass, times 100. The atoms-versus-mass trap, reaction questions where the chemistry decides the formula, and two solved JEE-style problems: the percentage composition of aspirin and the percentage of nitrogen in aniline.https://rankdeterminant.com/media/v/chem-u13-ch5-c1.mp4?v=543710505d-3c7d534272026-10-20yes https://rankdeterminant.com/v/chem-u13-ch5-c2https://rankdeterminant.com/media/v/chem-u13-ch5-c2.jpg?v=3dd8b8bf70-c2efa2Empirical Formula from Percentages | JEE Chemistry (English)How to find the empirical formula of an organic compound from its percentage composition: take 100 g, find oxygen by difference, change masses to moles, divide by the smallest, and multiply all by 2, 3 or 4 when a ratio ends in .5, .33 or .25. The rounding trap explained, with two solved JEE-style problems giving C2H6O and C2H3O2.https://rankdeterminant.com/media/v/chem-u13-ch5-c2.mp4?v=3dd8b8bf70-c2efa24832026-10-20yes https://rankdeterminant.com/v/chem-u13-ch5-c3https://rankdeterminant.com/media/v/chem-u13-ch5-c3.jpg?v=84401a65c4-445e2aMolar Mass: Vapour Density, Silver Salts and Chloroplatinates | JEE Chemistry (English)How to find the molar mass of an organic compound: vapour density (M = 2 × VD), Victor Meyer's method, the silver salt method for acids (subtract 107n, not 108n) and the chloroplatinate method for bases (subtract 410n, then divide by 2), and how the molar mass gives the molecular formula. Two solved JEE-style problems with the classic traps: benzoic acid and aniline.https://rankdeterminant.com/media/v/chem-u13-ch5-c3.mp4?v=84401a65c4-445e2a4812026-10-20yes https://rankdeterminant.com/v/chem-u13-ch5-c4https://rankdeterminant.com/media/v/chem-u13-ch5-c4.jpg?v=838a89db5e-0c654aEudiometry and the Degree of Unsaturation | JEE Chemistry (English)How to find the formula of a gaseous hydrocarbon from volumes alone: carbon dioxide from the KOH fall, oxygen used, and the contraction on explosion and cooling, with the excess-oxygen trap explained. Then the degree of unsaturation (double-bond equivalent) formula with halogens, nitrogen and oxygen, and two solved JEE-style problems giving C2H4 and C4H6.https://rankdeterminant.com/media/v/chem-u13-ch5-c4.mp4?v=838a89db5e-0c654a5172026-10-20yes https://rankdeterminant.com/v/chem-u13-ch6-c1https://rankdeterminant.com/media/v/chem-u13-ch6-c1.jpg?v=4b3d19aee3-ba66bbOverview | JEE Chemistry (English)How to use the mixed JEE Main problem sets on purification and characterisation of organic compounds: the three question types, matching a purification method to a property, Rf values and polarity on silica, Lassaigne's test and the thiourea trap, the Carius, Dumas and Kjeldahl formulas, and two solved problems: an Rf distance and a Kjeldahl back titration.https://rankdeterminant.com/media/v/chem-u13-ch6-c1.mp4?v=4b3d19aee3-ba66bb5082026-10-20yes https://rankdeterminant.com/v/chem-u13-ch6-c2https://rankdeterminant.com/media/v/chem-u13-ch6-c2.jpg?v=a49b33412e-86055bMixed Problems: Set 1 (Purification and Chromatography) | JEE Chemistry (English)Mixed JEE Main-pattern problems on purification and chromatography: choosing sublimation, simple, fractional or steam distillation by the property each uses, the steam distillation mass ratio, why o-nitrophenol is steam-volatile, adsorption versus partition chromatography, the order of elution on silica, and two solved problems on the Rf value and steam distillation, with the classic traps.https://rankdeterminant.com/media/v/chem-u13-ch6-c2.mp4?v=a49b33412e-86055b4972026-10-20yes https://rankdeterminant.com/v/chem-u13-ch6-c3https://rankdeterminant.com/media/v/chem-u13-ch6-c3.jpg?v=5c7758fb82-074896Mixed Problems: Set 2 (Detection of Elements) | JEE Chemistry (English)Set 2 of the mixed JEE Main-pattern problems on detecting elements: why sodium is used for the Lassaigne extract, the formula of Prussian blue, black lead sulphide, the blood red thiocyanate colour, why the extract is boiled with nitric acid before silver nitrate, the silver halide colours, the layer test, why hydroxylamine fails the nitrogen test, and thiourea with excess sodium.https://rankdeterminant.com/media/v/chem-u13-ch6-c3.mp4?v=5c7758fb82-0748965212026-10-20yes https://rankdeterminant.com/v/chem-u13-ch6-c4https://rankdeterminant.com/media/v/chem-u13-ch6-c4.jpg?v=a01be64ea7-40d413Mixed Problems: Set 3 (Estimation and Formulae) | JEE Chemistry (English)Solve JEE Main numericals on the estimation of elements and formulae: one pattern for carbon, hydrogen, halogens, sulphur and phosphorus, Dumas' method with aqueous tension, Kjeldahl's method with sulphuric acid, empirical and molecular formulae, and two solved problems: chlorine from silver chloride and nitrogen from moist gas.https://rankdeterminant.com/media/v/chem-u13-ch6-c4.mp4?v=a01be64ea7-40d4134882026-10-20yes https://rankdeterminant.com/v/chem-u13-ch7-c1https://rankdeterminant.com/media/v/chem-u13-ch7-c1.jpg?v=3a277d6112-53a575Overview | JEE Chemistry (English)How to use the unit problem bank on purification and characterisation of organic compounds: Part A as a 30-minute JEE Main test, Part B JEE Advanced problems that combine several analyses, Part C true or false checks. Steam distillation, Rf on silica, the Kjeldahl catalyst, the H2SO4 trap, and why Dumas and Kjeldahl give different nitrogen for p-nitroaniline.https://rankdeterminant.com/media/v/chem-u13-ch7-c1.mp4?v=3a277d6112-53a5755162026-10-20yes https://rankdeterminant.com/v/chem-u13-ch7-c2https://rankdeterminant.com/media/v/chem-u13-ch7-c2.jpg?v=af0f109908-e0e634Part A: JEE Main Level | JEE Chemistry (English)Quick JEE Main-level problems on purification and characterisation of organic compounds: sublimation of iodine, distillation of glycerol under reduced pressure, R f values and column chromatography, Lassaigne's test for nitrogen, why Kjeldahl's method fails for nitrobenzene, Carius method for chlorine, the Kjeldahl percentage of nitrogen, and a hydrocarbon's formula from the masses of carbon dioxide and water.https://rankdeterminant.com/media/v/chem-u13-ch7-c2.mp4?v=af0f109908-e0e6345282026-10-20yes https://rankdeterminant.com/v/chem-u13-ch7-c4https://rankdeterminant.com/media/v/chem-u13-ch7-c4.jpg?v=22a30f9ace-a1e180Part C: Concept Checks | JEE Chemistry (English)Quick true-or-false checks on purification and characterisation of organic compounds for JEE: what sublimation can separate, why fractional distillation fails for an azeotrope, how the solvent and polarity decide the Rf value in TLC, why Lassaigne's test cannot detect oxygen and why oxygen is found by difference, and two solved statements: steam distillation below 100 °C and the catalyst in Kjeldahl's method.https://rankdeterminant.com/media/v/chem-u13-ch7-c4.mp4?v=22a30f9ace-a1e1805142026-10-20yes https://rankdeterminant.com/v/chem-u14-ch1-c1https://rankdeterminant.com/media/v/chem-u14-ch1-c1.jpg?v=089f29636a-52dc70Tetravalent Carbon and Hybridisation | JEE Chemistry (English)Hybridisation of carbon for JEE Main and Advanced: why carbon is tetravalent, sp3, sp2 and sp shapes and bond angles, percentage s-character, the one-line rule (sigma bonds plus lone pairs), the traps of two double bonds, amide nitrogen and carbocations, why ethyne is more acidic than ethene, and two solved problems.https://rankdeterminant.com/media/v/chem-u14-ch1-c1.mp4?v=089f29636a-52dc704892026-10-21yes https://rankdeterminant.com/v/chem-u14-ch1-c2https://rankdeterminant.com/media/v/chem-u14-ch1-c2.jpg?v=91b4855e0b-2199b8Counting σ and π Bonds | JEE Chemistry (English)How to count sigma and pi bonds in any organic molecule: one sigma bond in every bond, extra bonds are pi, pi bonds from double and triple bonds, the N minus 1 plus r shortcut for sigma bonds, pi electrons, the hidden hydrogen trap in bond-line formulas, and two solved JEE-style problems on acetic acid and tetracyanoethene.https://rankdeterminant.com/media/v/chem-u14-ch1-c2.mp4?v=91b4855e0b-2199b84562026-10-21yes https://rankdeterminant.com/v/chem-u14-ch1-c3https://rankdeterminant.com/media/v/chem-u14-ch1-c3.jpg?v=0f4b493ba6-2a795bDrawing Structures; Degree of Unsaturation | JEE Chemistry (English)How to draw organic structures and find the degree of unsaturation (double bond equivalent) from a molecular formula: complete, condensed, bond-line and wedge-dash structures, the hidden hydrogens trap, the DU formula with nitrogen, halogens and oxygen, rings versus pi bonds, and two solved JEE-style problems on cyclohexanol and C10H16.https://rankdeterminant.com/media/v/chem-u14-ch1-c3.mp4?v=0f4b493ba6-2a795b4652026-10-21yes https://rankdeterminant.com/v/chem-u14-ch1-c4https://rankdeterminant.com/media/v/chem-u14-ch1-c4.jpg?v=0a32b0707b-a8ed8cClassification, Functional Groups and Homologous Series | JEE Chemistry (English)Classification of organic compounds made simple: acyclic, alicyclic, aromatic and heterocyclic compounds, functional groups, homologous series and their general formulae, primary, secondary, tertiary and quaternary carbons, the amine trap, and two solved JEE-style problems on the fourth alkyne and the alkane of molar mass 86.https://rankdeterminant.com/media/v/chem-u14-ch1-c4.mp4?v=0a32b0707b-a8ed8c4782026-10-21yes https://rankdeterminant.com/v/chem-u14-ch1-c5https://rankdeterminant.com/media/v/chem-u14-ch1-c5.jpg?v=0d17ce6115-b818d1Bond Parameters and Physical Properties | JEE Chemistry (English)Bond parameters and physical properties of organic compounds: C-C bond lengths of single, double and triple bonds, why all six bonds of benzene are 139 pm, C-H bond length and s-character, why a pi bond is weaker, the boiling point order with hydrogen bonding and branching, solubility in water, and zero dipole moment in symmetrical molecules, with two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch1-c5.mp4?v=0d17ce6115-b818d14992026-10-21yes https://rankdeterminant.com/v/chem-u14-ch2-c1https://rankdeterminant.com/media/v/chem-u14-ch2-c1.jpg?v=7f9f1c8e2b-f3cebeAlkanes and Alkyl Groups | JEE Chemistry (English)How to name branched alkanes by the IUPAC rules: the parts of a name (word root, primary and secondary suffix, prefixes), the longest chain and the more-substituents tie rule, lowest locants at the first point of difference (not the lowest sum), alphabetical order and ties, the common alkyl groups with their systematic names, and two solved JEE-style naming problems with the classic traps.https://rankdeterminant.com/media/v/chem-u14-ch2-c1.mp4?v=7f9f1c8e2b-f3cebe5062026-10-21yes https://rankdeterminant.com/v/chem-u14-ch2-c2https://rankdeterminant.com/media/v/chem-u14-ch2-c2.jpg?v=1779fb0a40-d7aaeeAlkenes, Alkynes and Rings | JEE Chemistry (English)IUPAC names of alkenes, alkynes, dienes, en-ynes and cyclic compounds: why the parent chain must hold the multiple bond, lowest locants to the set of multiple bonds, when the double bond gets the lower number, cycloalkenes, ring or chain as parent, vinyl, allyl, ethynyl and propargyl, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/chem-u14-ch2-c2.mp4?v=1779fb0a40-d7aaee4572026-10-21yes https://rankdeterminant.com/v/chem-u14-ch2-c3https://rankdeterminant.com/media/v/chem-u14-ch2-c3.jpg?v=914057f128-e890b4Compounds with One Functional Group | JEE Chemistry (English)How to give the IUPAC name of a compound with one functional group: the suffix table in decreasing order of priority, groups that are always prefixes, choosing and numbering the parent chain, why the carbon of COOH and CHO is always C-1, when the final e is dropped, and naming esters, ethers and N-substituted amines, with two solved JEE-style problems and the classic ester trap.https://rankdeterminant.com/media/v/chem-u14-ch2-c3.mp4?v=914057f128-e890b45282026-10-21yes https://rankdeterminant.com/v/chem-u14-ch2-c4https://rankdeterminant.com/media/v/chem-u14-ch2-c4.jpg?v=89f53ba550-9afb0aCompounds with Several Functional Groups | JEE Chemistry (English)How to name compounds with several functional groups: the principal group and the priority order (acid, ester, amide, nitrile, aldehyde, ketone, alcohol, amine), prefixes in alphabetical order, numbering from the principal group, the oxo versus formyl trap, the carbaldehyde and carboxylic acid suffixes, and two solved JEE-style problems including citric acid.https://rankdeterminant.com/media/v/chem-u14-ch2-c4.mp4?v=89f53ba550-9afb0a4872026-10-21yes https://rankdeterminant.com/v/chem-u14-ch2-c5https://rankdeterminant.com/media/v/chem-u14-ch2-c5.jpg?v=0fb655cbe0-968272Benzene Derivatives | JEE Chemistry (English)How to name substituted benzenes: one group as a prefix, the retained names (toluene, phenol, aniline, anisole, benzaldehyde, benzoic acid), ortho, meta and para as 1,2, 1,3 and 1,4, why the principal group's carbon is C-1, the lowest set of locants when there is no principal group, phenyl, benzyl, benzal and tolyl, and two solved JEE-style problems with the alphabet trap.https://rankdeterminant.com/media/v/chem-u14-ch2-c5.mp4?v=0fb655cbe0-9682724962026-10-21yes https://rankdeterminant.com/v/chem-u14-ch2-c6https://rankdeterminant.com/media/v/chem-u14-ch2-c6.jpg?v=9153e96325-fd12c5Bicyclo and Spiro Compounds; Common Names | JEE Chemistry (English)How to name bridged and spiro ring compounds: bicyclo[x.y.z]alkane and spiro[a.b]alkane, why bicyclo adds two carbons and spiro adds one, the zero bridge in decalin, the numbering rules, gem and vic dihalides, the common names still used in JEE, and two solved problems including norbornane and the degree of unsaturation.https://rankdeterminant.com/media/v/chem-u14-ch2-c6.mp4?v=9153e96325-fd12c55052026-10-21yes https://rankdeterminant.com/v/chem-u14-ch3-c1https://rankdeterminant.com/media/v/chem-u14-ch3-c1.jpg?v=5121b93c7f-6ea22cKinds of Isomerism; Structural Isomers | JEE Chemistry (English)What isomers are and the six kinds of structural isomerism: chain, position and functional-group isomers, metamers, tautomers and ring-chain isomers. The general formulae that pair alcohols with ethers and aldehydes with ketones, the formula-check trap (butan-1-ol and butanone), and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch3-c1.mp4?v=5121b93c7f-6ea22c4922026-10-21yes https://rankdeterminant.com/v/chem-u14-ch3-c2https://rankdeterminant.com/media/v/chem-u14-ch3-c2.jpg?v=dae44bc99b-a81a28Counting Structural Isomers | JEE Chemistry (English)How to count structural isomers without missing one or counting one twice: the degree of unsaturation, carbon skeletons in order, the group on every different kind of position with symmetry, the IUPAC name check, the numbers worth remembering (butyl 4, pentyl 8, C4H10O 7), and two solved problems, C4H9Cl and C4H10O.https://rankdeterminant.com/media/v/chem-u14-ch3-c2.mp4?v=dae44bc99b-a81a284232026-10-21yes https://rankdeterminant.com/v/chem-u14-ch3-c3https://rankdeterminant.com/media/v/chem-u14-ch3-c3.jpg?v=f564d63ce1-4619f7Tautomerism | JEE Chemistry (English)What tautomers are and how keto–enol tautomerism works: the hydrogen that moves from the alpha carbon to oxygen, the alpha-hydrogen rule, why the keto form usually wins, why beta-diketones and phenol are rich in enol, nitro–aci and amide–imidic acid pairs, the tautomer versus resonance trap, and two solved JEE-style problems on enolisable hydrogens.https://rankdeterminant.com/media/v/chem-u14-ch3-c3.mp4?v=f564d63ce1-4619f75132026-10-21yes https://rankdeterminant.com/v/chem-u14-ch3-c4https://rankdeterminant.com/media/v/chem-u14-ch3-c4.jpg?v=7a56a5efe9-250ca1Geometrical Isomerism: cis–trans and E–Z | JEE Chemistry (English)Why a C=C double bond gives two fixed forms, the condition for geometrical isomerism (two different groups on each doubly bonded carbon), cis and trans, the E-Z system with the Cahn-Ingold-Prelog sequence rules, the trap where a cis compound is E, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch3-c4.mp4?v=7a56a5efe9-250ca15252026-10-21yes https://rankdeterminant.com/v/chem-u14-ch3-c5https://rankdeterminant.com/media/v/chem-u14-ch3-c5.jpg?v=3ea011a8f8-c4c7ebProperties and Number of Geometrical Isomers | JEE Chemistry (English)How cis and trans isomers differ in dipole moment, boiling point, melting point and stability, why the cis isomer has the higher heat of hydrogenation, and how to count geometrical isomers of a polyene: 2 to the power n when the ends differ, and the formula with p when the ends are the same. Two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch3-c5.mp4?v=3ea011a8f8-c4c7eb4972026-10-21yes https://rankdeterminant.com/v/chem-u14-ch4-c1https://rankdeterminant.com/media/v/chem-u14-ch4-c1.jpg?v=69058002c3-aa4711Chirality and Optical Activity | JEE Chemistry (English)What makes a molecule chiral and optically active: plane-polarised light, dextrorotatory and laevorotatory substances, chiral carbons, the symmetry test, enantiomers and racemic mixtures, specific rotation and optical purity (enantiomeric excess), the sign-of-rotation trap, and two solved JEE-style problems on chiral carbons and enantiomer percentages.https://rankdeterminant.com/media/v/chem-u14-ch4-c1.mp4?v=69058002c3-aa47115022026-10-21yes https://rankdeterminant.com/v/chem-u14-ch4-c2https://rankdeterminant.com/media/v/chem-u14-ch4-c2.jpg?v=764b77081f-77ce01Fischer Projections; R–S and D–L Configurations | JEE Chemistry (English)How to read a Fischer projection, which rotations and swaps keep or flip the configuration, how to assign R or S when hydrogen sits on a horizontal line, and how to tell D from L. Two solved JEE-style problems: 2-chlorobutane, and why L-alanine is S but L-cysteine is R.https://rankdeterminant.com/media/v/chem-u14-ch4-c2.mp4?v=764b77081f-77ce015072026-10-21yes https://rankdeterminant.com/v/chem-u14-ch4-c3https://rankdeterminant.com/media/v/chem-u14-ch4-c3.jpg?v=fe0c179192-ac4f56Two or More Chiral Centres | JEE Chemistry (English)How to count stereoisomers when a molecule has two or more chiral centres: diastereomers and why their properties differ, meso compounds with a plane of symmetry (meso tartaric acid), the meso versus racemic mixture trap, the 2^n rule and the even and odd rules for symmetrical molecules, and two solved JEE-style problems on 2,3-dibromopentane and pentane-2,3,4-triol.https://rankdeterminant.com/media/v/chem-u14-ch4-c3.mp4?v=fe0c179192-ac4f565152026-10-21yes https://rankdeterminant.com/v/chem-u14-ch4-c4https://rankdeterminant.com/media/v/chem-u14-ch4-c4.jpg?v=7ed774e58f-82ea14Conformations of Ethane and Butane | JEE Chemistry (English)Conformations of ethane and butane with Newman projections: the dihedral angle, staggered and eclipsed ethane (12.5 kJ/mol apart), torsional and steric strain, the butane stability order anti > gauche > eclipsed > fully eclipsed, the hydrogen bonding exception, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch4-c4.mp4?v=7ed774e58f-82ea144942026-10-21yes https://rankdeterminant.com/v/chem-u14-ch4-c5https://rankdeterminant.com/media/v/chem-u14-ch4-c5.jpg?v=96ffd7c3df-27018eCycloalkanes: Ring Strain, Chair and Boat | JEE Chemistry (English)Ring strain in cycloalkanes explained: why planar three- and four-membered rings are strained, the stability order of the cycloalkanes, heats of combustion, ring opening of cyclopropane with bromine, chair, twist boat and boat forms of cyclohexane, axial and equatorial bonds, ring flipping, 1,3-diaxial repulsion, and two solved JEE-style problems including cis and trans dimethylcyclohexane.https://rankdeterminant.com/media/v/chem-u14-ch4-c5.mp4?v=96ffd7c3df-27018e5222026-10-21yes https://rankdeterminant.com/v/chem-u14-ch5-c1https://rankdeterminant.com/media/v/chem-u14-ch5-c1.jpg?v=0f94e4aed2-a22ac6The Inductive Effect | JEE Chemistry (English)The inductive effect explained: how the polarisation of a sigma bond passes along a carbon chain and fades after the third carbon, the -I and +I group orders with hydrogen as the reference, why a charge changes the effect, s-character and electronegativity, and two solved JEE-style problems on classifying groups and on the chlorobutanoic acids.https://rankdeterminant.com/media/v/chem-u14-ch5-c1.mp4?v=0f94e4aed2-a22ac64742026-10-21yes https://rankdeterminant.com/v/chem-u14-ch5-c2https://rankdeterminant.com/media/v/chem-u14-ch5-c2.jpg?v=7d87eb6615-f217b9Resonance | JEE Chemistry (English)What resonance really means: same atoms, moving pi electrons and lone pairs, one real hybrid. When conjugation allows it, how to rank contributing structures, bond order in the hybrid (why all six benzene bonds are 139 pm), and two solved problems: carbonate, nitrate and ethanoate structures, and the resonance energy of benzene from heats of hydrogenation.https://rankdeterminant.com/media/v/chem-u14-ch5-c2.mp4?v=7d87eb6615-f217b94772026-10-21yes https://rankdeterminant.com/v/chem-u14-ch5-c3https://rankdeterminant.com/media/v/chem-u14-ch5-c3.jpg?v=1dafc6731a-54d14bThe Resonance (Mesomeric) and Electromeric Effects | JEE Chemistry (English)The resonance or mesomeric effect explained: how to spot +R and -R groups from the atom attached, why +R groups activate a benzene ring at ortho and para while -R groups deactivate it and send electrophiles to meta, why halogens deactivate yet direct ortho and para, the temporary electromeric effect with +E and -E, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch5-c3.mp4?v=1dafc6731a-54d14b4902026-10-21yes https://rankdeterminant.com/v/chem-u14-ch5-c4https://rankdeterminant.com/media/v/chem-u14-ch5-c4.jpg?v=b0c93e3fbe-bb1ad0Hyperconjugation | JEE Chemistry (English)What hyperconjugation is: the C–H sigma electrons of an alkyl group delocalised into a next-door p or pi orbital, no-bond resonance in propene, counting alpha hydrogens, why carbocations and free radicals follow tertiary > secondary > primary > methyl, alkene stability and heat of hydrogenation, alkyl groups on benzene, and two solved problems on ethyl, isopropyl and tert-butyl cations and the butene isomers.https://rankdeterminant.com/media/v/chem-u14-ch5-c4.mp4?v=b0c93e3fbe-bb1ad04932026-10-21yes https://rankdeterminant.com/v/chem-u14-ch5-c5https://rankdeterminant.com/media/v/chem-u14-ch5-c5.jpg?v=c9c21265c5-f8973dAromaticity | JEE Chemistry (English)Aromaticity explained step by step: the four conditions of Huckel's rule (cyclic, planar, fully conjugated, 4n+2 pi electrons), anti-aromatic rings with 4n pi electrons, non-aromatic rings like tub-shaped cyclooctatetraene, the shortcut for counting pi electrons in ions, pyrrole, furan and pyridine, and two solved JEE-style problems including why cyclopentadiene is so acidic.https://rankdeterminant.com/media/v/chem-u14-ch5-c5.mp4?v=c9c21265c5-f8973d5272026-10-21yes https://rankdeterminant.com/v/chem-u14-ch6-c1https://rankdeterminant.com/media/v/chem-u14-ch6-c1.jpg?v=ca0acad2a0-ff9ef3Acid Strength: the Ideas | JEE Chemistry (English)How to compare organic acids: Ka and pKa, the master rule that a more stable conjugate base means a stronger acid, the effects of the atom, hybridisation, the inductive effect and resonance, the order of acidity from sulphonic acids to methane, the NaHCO3, NaOH and sodium tests, and which way an acid-base reaction goes, with two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch6-c1.mp4?v=ca0acad2a0-ff9ef35262026-10-21yes https://rankdeterminant.com/v/chem-u14-ch6-c2https://rankdeterminant.com/media/v/chem-u14-ch6-c2.jpg?v=25ac7e71e9-d824afCarboxylic Acids | JEE Chemistry (English)Why some carboxylic acids are stronger than others: how electron-withdrawing and electron-releasing groups change the pKa, the effect of the number, strength and distance of the groups, an sp, sp2 or sp3 carbon next to COOH, where benzoic acid fits, substituted benzoic acids, the ortho effect, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch6-c2.mp4?v=25ac7e71e9-d824af5292026-10-21yes https://rankdeterminant.com/v/chem-u14-ch6-c3https://rankdeterminant.com/media/v/chem-u14-ch6-c3.jpg?v=559f957412-881912Phenols, Alcohols and Carbon Acids | JEE Chemistry (English)Acidity of phenols, alcohols and C-H acids explained step by step: why the phenoxide ion is stabilised, how nitro, methyl and methoxy groups at ortho, meta and para change the acidity of phenol, the nitrophenol order and the ortho hydrogen bond, picric acid, the alcohol acidity order and alkoxide basicity, active methylene compounds, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch6-c3.mp4?v=559f957412-8819125382026-10-21yes https://rankdeterminant.com/v/chem-u14-ch6-c4https://rankdeterminant.com/media/v/chem-u14-ch6-c4.jpg?v=323f2188c8-cd66e8Organic Bases | JEE Chemistry (English)How to compare organic bases: Kb and pKb, the pKa + pKb = 14 relation, why trimethylamine is the strongest methylamine in the gas phase but not in water, the methyl and ethyl amine orders, aniline and benzylamine, groups on the ring, the ortho effect, amides, sp3, sp2 and sp lone pairs, pyrrole and guanidine, and two solved problems on ethylamines and nitroanilines.https://rankdeterminant.com/media/v/chem-u14-ch6-c4.mp4?v=323f2188c8-cd66e85332026-10-21yes https://rankdeterminant.com/v/chem-u14-ch7-c1https://rankdeterminant.com/media/v/chem-u14-ch7-c1.jpg?v=2ef85c7928-829cd4Bond Fission | JEE Chemistry (English)Bond fission explained: homolysis gives free radicals, heterolysis gives ions, the conditions that favour each, why heterolysis happens readily in water, carbocation or carbanion depending on which atom is more electronegative, full-headed and fish-hook curved arrows, and two solved JEE-style problems on chlorine, tert-butyl bromide, methyl-lithium and chloromethane.https://rankdeterminant.com/media/v/chem-u14-ch7-c1.mp4?v=2ef85c7928-829cd44362026-10-21yes https://rankdeterminant.com/v/chem-u14-ch7-c2https://rankdeterminant.com/media/v/chem-u14-ch7-c2.jpg?v=96acb3e1c3-a0d894Carbocations | JEE Chemistry (English)Carbocations explained for JEE: a positive carbon with six electrons, sp2 and planar, an electrophile; why tertiary beats secondary, primary and methyl; how resonance, lone pairs and aromaticity stabilise it; why vinyl cations are unstable; one working stability order; 1,2-hydride and 1,2-methyl shifts; and two solved problems.https://rankdeterminant.com/media/v/chem-u14-ch7-c2.mp4?v=96acb3e1c3-a0d8944962026-10-21yes https://rankdeterminant.com/v/chem-u14-ch7-c3https://rankdeterminant.com/media/v/chem-u14-ch7-c3.jpg?v=175a09cb86-c2f3c3Carbanions, Free Radicals and Carbenes | JEE Chemistry (English)Carbanions, free radicals and carbenes for JEE: valence electrons, hybridisation and shape, why the carbanion stability order is the reverse of the carbocation order, s-character, resonance, -I groups and the aromatic cyclopentadienyl anion, the free radical stability order and bond dissociation enthalpy, singlet and triplet carbenes, dichlorocarbene from chloroform by alpha-elimination, and two solved problems.https://rankdeterminant.com/media/v/chem-u14-ch7-c3.mp4?v=175a09cb86-c2f3c35212026-10-21yes https://rankdeterminant.com/v/chem-u14-ch7-c4https://rankdeterminant.com/media/v/chem-u14-ch7-c4.jpg?v=e9c4d78663-f8ff14Electrophiles, Nucleophiles and Leaving Groups | JEE Chemistry (English)Electrophiles and nucleophiles for JEE: electron-seeking Lewis acids and nucleus-seeking Lewis bases, neutral electrophiles like BF3, ambident nucleophiles like cyanide, nucleophilicity versus basicity, why iodide beats fluoride in methanol but not in DMSO, bulky bases, good and poor leaving groups, and two solved problems.https://rankdeterminant.com/media/v/chem-u14-ch7-c4.mp4?v=e9c4d78663-f8ff145122026-10-21yes https://rankdeterminant.com/v/chem-u14-ch7-c5https://rankdeterminant.com/media/v/chem-u14-ch7-c5.jpg?v=d8bc59e26e-753c06Types of Organic Reactions | JEE Chemistry (English)Substitution, addition, elimination and rearrangement explained: nucleophilic, electrophilic and free-radical kinds, the peroxide trap for HBr, beta elimination, transition state versus intermediate on an energy profile, and SN1 versus SN2 rate laws, reactivity orders, racemisation and inversion, with two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u14-ch7-c5.mp4?v=d8bc59e26e-753c064922026-10-21yes https://rankdeterminant.com/v/chem-u14-ch8-c1https://rankdeterminant.com/media/v/chem-u14-ch8-c1.jpg?v=8ce9cffbdc-4efae9Overview | JEE Chemistry (English)How to use the three timed sets of mixed JEE Main problems on the basic principles of organic chemistry (GOC): the seven topics they mix, 25 minutes per set, quick tools for counting sigma and pi bonds, the degree of unsaturation, and stereoisomers with meso forms, and two solved problems: the DU of C9H10O2 and the stereoisomers of 2,3-dibromobutanedioic acid.https://rankdeterminant.com/media/v/chem-u14-ch8-c1.mp4?v=8ce9cffbdc-4efae94912026-10-21yes https://rankdeterminant.com/v/chem-u14-ch8-c2https://rankdeterminant.com/media/v/chem-u14-ch8-c2.jpg?v=774196ff5d-5b9c8fSet 1 | JEE Chemistry (English)A timed mixed set on the basic principles of organic chemistry for JEE Main: hybridisation from pi bonds, carbocation stability with a tertiary benzylic cation, chiral carbons, the 2 to the power n rule and the meso trap, with two solved stereoisomer problems from the course.https://rankdeterminant.com/media/v/chem-u14-ch8-c2.mp4?v=774196ff5d-5b9c8f5022026-10-21yes https://rankdeterminant.com/v/chem-u14-ch8-c3https://rankdeterminant.com/media/v/chem-u14-ch8-c3.jpg?v=31cc232a45-99b118Set 2 | JEE Chemistry (English)Two isomer-counting problems from Organic Chemistry Set 2, solved step by step: the geometrical isomers of hepta-2,5-diene, where identical ends make 2^n overcount and the 2^(n-1) + 2^(p-1) rule gives 3, and the stereoisomers of 1,3-dimethylcyclopentane, where a meso cis form cuts the count to 3. Covers the condition for cis-trans isomerism and the plane-of-symmetry test.https://rankdeterminant.com/media/v/chem-u14-ch8-c3.mp4?v=31cc232a45-99b1184882026-10-21yes https://rankdeterminant.com/v/chem-u14-ch8-c4https://rankdeterminant.com/media/v/chem-u14-ch8-c4.jpg?v=54cddf7758-cbb1feSet 3 | JEE Chemistry (English)A mixed JEE Main problem class on general organic chemistry, taught like a live class: pKa and acid strength, the equilibrium constant of an acid-base reaction from two pKa values, which acids fizz with sodium hydrogen carbonate and why 4-nitrophenol does not, resonance in amides, and why ethanamide takes a proton on oxygen, not nitrogen.https://rankdeterminant.com/media/v/chem-u14-ch8-c4.mp4?v=54cddf7758-cbb1fe5022026-10-21yes https://rankdeterminant.com/v/chem-u14-ch9-c1https://rankdeterminant.com/media/v/chem-u14-ch9-c1.jpg?v=6c2592b881-a9a88dOverview | JEE Chemistry (English)How to use the unit problem bank on the basic principles of organic chemistry: Part A at JEE Main level, Part B at JEE Advanced level, Part C concept checks. Two warm-up checks (the lowest locants rule and why a meso compound is optically inactive), the stereoisomers of 2-bromo-3-chlorobutane, and all five isomers of C3H5Cl, including the E and Z forms and the ring.https://rankdeterminant.com/media/v/chem-u14-ch9-c1.mp4?v=6c2592b881-a9a88d4772026-10-21yes https://rankdeterminant.com/v/chem-u14-ch9-c2https://rankdeterminant.com/media/v/chem-u14-ch9-c2.jpg?v=42da2e8cad-4ebed2Part A: JEE Main Level | JEE Chemistry (English)JEE Main-level problems on the basic principles of organic chemistry, solved like a live class: sigma and pi bonds in benzonitrile, the stereoisomers of 2-bromo-3-chlorobutane and why none is meso, the acidity of benzoic, phenylethanoic and ethanoic acids, the sp3 carbons of 4-methylpent-1-yne, and the hyperconjugation structures of the 1-methylcyclohexyl cation.https://rankdeterminant.com/media/v/chem-u14-ch9-c2.mp4?v=42da2e8cad-4ebed24952026-10-21yes https://rankdeterminant.com/v/chem-u14-ch9-c4https://rankdeterminant.com/media/v/chem-u14-ch9-c4.jpg?v=9d69e6ad3e-db8f6aPart C: Concept Checks | JEE Chemistry (English)Quick reasoning checks on the basic principles of organic chemistry for JEE: why butane conformers cannot be separated but cis and trans but-2-ene can, why a carbocation is planar and an alkyl carbanion pyramidal, why alkyl groups stabilise one and destabilise the other, why benzene does not decolourise bromine water, why a meso compound is optically inactive, and the lowest locant rule.https://rankdeterminant.com/media/v/chem-u14-ch9-c4.mp4?v=9d69e6ad3e-db8f6a5032026-10-21yes https://rankdeterminant.com/v/chem-u15-ch1-c1https://rankdeterminant.com/media/v/chem-u15-ch1-c1.jpg?v=ad5053f049-15fcb0Structure and Physical Properties | JEE Chemistry (English)Physical properties of alkanes for JEE Main and Advanced: the general formula CnH2n+2, sp3 carbon and bond lengths, why alkanes are called paraffins, gas, liquid or solid by chain length, boiling point and branching, melting point and packing, solubility and density, and two solved problems including why 2,2-dimethylpropane boils lower but melts higher than pentane.https://rankdeterminant.com/media/v/chem-u15-ch1-c1.mp4?v=ad5053f049-15fcb05152026-10-21yes https://rankdeterminant.com/v/chem-u15-ch1-c2https://rankdeterminant.com/media/v/chem-u15-ch1-c2.jpg?v=1fea18ac18-481a45Preparation of Alkanes | JEE Chemistry (English)Preparation of alkanes for JEE Chemistry: hydrogenation over Ni, Pt or Pd, reduction with Zn and HCl, Grignard reagents with water, the Wurtz reaction and its three-alkane trap, Kolbe's electrolysis, decarboxylation with soda lime, the count-the-carbons trick, and two solved problems.https://rankdeterminant.com/media/v/chem-u15-ch1-c2.mp4?v=1fea18ac18-481a455002026-10-21yes https://rankdeterminant.com/v/chem-u15-ch1-c3https://rankdeterminant.com/media/v/chem-u15-ch1-c3.jpg?v=6df6852a37-c30dc4Halogenation | JEE Chemistry (English)Halogenation of alkanes made simple: chlorination of methane in light, the free-radical chain of initiation, propagation and termination, the reactivity order fluorine to iodine, why iodination needs iodic or nitric acid, tertiary over secondary over primary hydrogens, the 1 : 3.8 : 5 and 1 : 82 : 1600 ratios, why bromine is more selective, and two solved JEE-style product-percentage problems.https://rankdeterminant.com/media/v/chem-u15-ch1-c3.mp4?v=6df6852a37-c30dc45212026-10-21yes https://rankdeterminant.com/v/chem-u15-ch1-c4https://rankdeterminant.com/media/v/chem-u15-ch1-c4.jpg?v=a53d15ac81-cd5819Combustion and Other Reactions | JEE Chemistry (English)Combustion of alkanes for JEE Main and Advanced: how to balance the general equation, heat of combustion and fuels, incomplete combustion, controlled oxidation to methanol, methanal and ethanoic acid, KMnO4 and the tertiary hydrogen, isomerisation, aromatisation of hexane to benzene, methane with steam, and cracking, with two solved problems.https://rankdeterminant.com/media/v/chem-u15-ch1-c4.mp4?v=a53d15ac81-cd58195222026-10-21yes https://rankdeterminant.com/v/chem-u15-ch2-c1https://rankdeterminant.com/media/v/chem-u15-ch2-c1.jpg?v=eb65db4ae9-73b352The Double Bond | JEE Chemistry (English)The carbon-carbon double bond of alkenes for JEE Main and Advanced: sp2 carbons, one sigma and one weaker pi bond, why alkenes are attacked by electrophiles and undergo addition, bond length and bond enthalpy, planarity and geometrical isomers, tests with bromine in CCl4 and Baeyer's reagent, stability from heats of hydrogenation, and two solved problems: the strength of the pi bond and the most stable butene.https://rankdeterminant.com/media/v/chem-u15-ch2-c1.mp4?v=eb65db4ae9-73b3524862026-10-21yes https://rankdeterminant.com/v/chem-u15-ch2-c2https://rankdeterminant.com/media/v/chem-u15-ch2-c2.jpg?v=6f97376e83-fc85e6Preparation of Alkenes | JEE Chemistry (English)How to make alkenes: partial reduction of alkynes (Lindlar's catalyst gives cis, sodium in liquid ammonia gives trans), dehydrohalogenation with alcoholic KOH, dehydration of alcohols with conc. H2SO4 at 443 K, dehalogenation with zinc, Kolbe's electrolysis, Saytzeff versus Hofmann products, the beta-hydrogen trap, and a carbocation rearrangement solved step by step.https://rankdeterminant.com/media/v/chem-u15-ch2-c2.mp4?v=6f97376e83-fc85e64942026-10-21yes https://rankdeterminant.com/v/chem-u15-ch2-c3https://rankdeterminant.com/media/v/chem-u15-ch2-c3.jpg?v=33d7ad27e1-308380Addition of Hydrogen Halides | JEE Chemistry (English)Addition of hydrogen halides to alkenes for JEE Main and Advanced: Markovnikov's rule and why the more stable carbocation decides the product, the two-step mechanism, the reactivity order of HI, HBr and HCl, rearrangement by a hydride shift, racemic products, the peroxide (anti-Markovnikov) effect of HBr and why HCl and HI do not show it, and two solved problems.https://rankdeterminant.com/media/v/chem-u15-ch2-c3.mp4?v=33d7ad27e1-3083805012026-10-21yes https://rankdeterminant.com/v/chem-u15-ch2-c4https://rankdeterminant.com/media/v/chem-u15-ch2-c4.jpg?v=7c1b5ad045-b6bb20Addition of Halogens, Water and Hydrogen | JEE Chemistry (English)Addition of bromine, water and hydrogen to alkenes for JEE Main and Advanced: the cyclic halonium ion and anti addition, racemic and meso dibromides, halohydrins, three ways to add water (acid with rearrangement, oxymercuration, hydroboration-oxidation), syn hydrogenation, counting double bonds, and two solved problems.https://rankdeterminant.com/media/v/chem-u15-ch2-c4.mp4?v=7c1b5ad045-b6bb205012026-10-21yes https://rankdeterminant.com/v/chem-u15-ch2-c5https://rankdeterminant.com/media/v/chem-u15-ch2-c5.jpg?v=94e4fe9b9c-3bb859Oxidation, Ozonolysis and Polymerisation | JEE Chemistry (English)Ozonolysis and oxidation of alkenes for JEE Main and Advanced: Baeyer's reagent and syn diols (meso and racemic), hot KMnO4 cleavage rules, ozonolysis with Zn and water or H2O2, working back from the products to the alkene, ethene to oxirane, and low- and high-density polythene with the Ziegler-Natta catalyst, with two solved problems from the course.https://rankdeterminant.com/media/v/chem-u15-ch2-c5.mp4?v=94e4fe9b9c-3bb8595002026-10-21yes https://rankdeterminant.com/v/chem-u15-ch2-c7https://rankdeterminant.com/media/v/chem-u15-ch2-c7.jpg?v=e8a9f63a45-c0a748AIEEE and Earlier JEE Main Questions: Alkenes | JEE Chemistry (English)Older AIEEE and JEE Main questions on alkenes, solved and explained: hydrogenation with Pd and H2, Markovnikov's rule in acid-catalysed hydration, the intermediate when propene adds HOCl, ozonolysis of but-2-ene, what methanal as a product tells you, and how to work back from the products to the alkene, with two past-paper problems and their traps.https://rankdeterminant.com/media/v/chem-u15-ch2-c7.mp4?v=e8a9f63a45-c0a7485082026-10-21yes https://rankdeterminant.com/v/chem-u15-ch3-c1https://rankdeterminant.com/media/v/chem-u15-ch3-c1.jpg?v=7f87aa9ce3-ae3542The Triple Bond and its Acidity | JEE Chemistry (English)Why ethyne behaves like an acid, for JEE Main and Advanced: sp carbons, one sigma and two pi bonds, a linear 120 pm triple bond, 50% s-character and the acetylide ion, acidity order and pKa values, sodium and sodamide, the silver and copper acetylide tests for terminal alkynes, why OH- fails but NH2- works, and two solved problems.https://rankdeterminant.com/media/v/chem-u15-ch3-c1.mp4?v=7f87aa9ce3-ae35425022026-10-21yes https://rankdeterminant.com/v/chem-u15-ch3-c2https://rankdeterminant.com/media/v/chem-u15-ch3-c2.jpg?v=6b7065f5b6-67549cPreparation of Alkynes | JEE Chemistry (English)Preparation of alkynes for JEE: ethyne from calcium carbide and water (the industrial method from limestone and coke), double dehydrohalogenation of vicinal or geminal dihalides with alcoholic KOH and then sodamide, turning an alkene into an alkyne, and alkylation of sodium acetylides with methyl and primary halides, with two solved problems and the common traps.https://rankdeterminant.com/media/v/chem-u15-ch3-c2.mp4?v=6b7065f5b6-67549c4992026-10-21yes https://rankdeterminant.com/v/chem-u15-ch3-c3https://rankdeterminant.com/media/v/chem-u15-ch3-c3.jpg?v=e17925fcc0-b76c19Addition Reactions of Alkynes | JEE Chemistry (English)Addition reactions of alkynes for JEE Main and Advanced: hydrogen with Ni, Lindlar's catalyst for the cis-alkene and Na in liquid ammonia for the trans-alkene, halogens and bromine water, Markovnikov addition of HBr giving a geminal dihalide, hydration with HgSO4 through an enol to a ketone, hydroboration-oxidation to an aldehyde, why alkynes are less reactive than alkenes, and two solved problems.https://rankdeterminant.com/media/v/chem-u15-ch3-c3.mp4?v=e17925fcc0-b76c195312026-10-21yes https://rankdeterminant.com/v/chem-u15-ch3-c4https://rankdeterminant.com/media/v/chem-u15-ch3-c4.jpg?v=c714e624fe-dd4138Oxidation and Polymerisation | JEE Chemistry (English)Oxidation and polymerisation of alkynes for JEE: Baeyer's test, ozonolysis and hot KMnO4 breaking the triple bond into carboxylic acids (a terminal carbon gives methanoic acid, then CO2), the oxyacetylene flame, ethyne to benzene in a red-hot iron tube at 873 K, mesitylene and hexamethylbenzene, and conducting polyacetylene, with two solved problems and the common traps.https://rankdeterminant.com/media/v/chem-u15-ch3-c4.mp4?v=c714e624fe-dd41385192026-10-21yes https://rankdeterminant.com/v/chem-u15-ch3-c5https://rankdeterminant.com/media/v/chem-u15-ch3-c5.jpg?v=41ab441b81-c37c8eConjugated Dienes | JEE Chemistry (English)Conjugated dienes for JEE: isolated, conjugated and cumulated dienes and their stability order, addition of HBr to buta-1,3-diene through a resonance-stabilised allylic cation, 1,2-addition (kinetic control) versus 1,4-addition (thermodynamic control), polymerisation to natural rubber and neoprene, and two solved problems with the common traps.https://rankdeterminant.com/media/v/chem-u15-ch3-c5.mp4?v=41ab441b81-c37c8e5132026-10-21yes https://rankdeterminant.com/v/chem-u15-ch3-c7https://rankdeterminant.com/media/v/chem-u15-ch3-c7.jpg?v=7d22c52273-457b57AIEEE Questions: Alkynes and Dienes | JEE Chemistry (English)Five older AIEEE questions on alkynes and dienes, solved for JEE Main: why NaOH does not react with ethyne, what a Grignard reagent gives with propyne, how propyne and two HBr give 2,2-dibromopropane, 1,2 versus 1,4 addition of HBr to buta-1,3-diene at 40 °C (kinetic and thermodynamic control), and how ethyne and HOCl give dichloroethanal.https://rankdeterminant.com/media/v/chem-u15-ch3-c7.mp4?v=7d22c52273-457b575052026-10-21yes https://rankdeterminant.com/v/chem-u15-ch4-c1https://rankdeterminant.com/media/v/chem-u15-ch4-c1.jpg?v=719db5238f-f8a59eBenzene: Structure and Preparation | JEE Chemistry (English)Why benzene, C6H6, leaves bromine water coloured: sp2 carbons, six delocalised pi electrons, all six C-C bonds 139 pm, a resonance energy of about 150 kJ/mol, and substitution instead of addition. Then the four ways to make benzene (ethyne in a red-hot iron tube, sodium benzoate with soda lime, phenol with zinc dust, aromatisation of hexane) and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u15-ch4-c1.mp4?v=719db5238f-f8a59e5092026-10-21yes https://rankdeterminant.com/v/chem-u15-ch4-c2https://rankdeterminant.com/media/v/chem-u15-ch4-c2.jpg?v=231a036fb5-793a1fElectrophilic Substitution | JEE Chemistry (English)Electrophilic substitution of benzene for JEE: the three-step mechanism through the arenium ion (sigma complex), nitration, halogenation, sulphonation and Friedel-Crafts alkylation and acylation with their reagents, conditions and electrophiles, why nitric acid acts as a base, the rearrangement and polyalkylation traps, and two solved problems: bromobenzene, and propylbenzene without rearrangement.https://rankdeterminant.com/media/v/chem-u15-ch4-c2.mp4?v=231a036fb5-793a1f5052026-10-21yes https://rankdeterminant.com/v/chem-u15-ch4-c3https://rankdeterminant.com/media/v/chem-u15-ch4-c3.jpg?v=ab899c432f-933c0aDirective Influence of Substituents | JEE Chemistry (English)Directive influence of substituents on benzene for JEE: why electron-donating groups like OH and CH3 are ortho, para-directing and activating, why NO2, COOH and CHO are meta-directing and deactivating, why halogens deactivate the ring yet still direct ortho and para, the reactivity order towards electrophiles, and two solved problems, including the order of steps in a synthesis.https://rankdeterminant.com/media/v/chem-u15-ch4-c3.mp4?v=ab899c432f-933c0a5042026-10-21yes https://rankdeterminant.com/v/chem-u15-ch4-c4https://rankdeterminant.com/media/v/chem-u15-ch4-c4.jpg?v=6a6629ccfc-64b130Addition, Oxidation and Side-Chain Reactions | JEE Chemistry (English)Benzene's addition, oxidation and side-chain reactions for JEE: hydrogenation to cyclohexane over nickel, chlorine in UV light giving BHC (gammexane), ozonolysis to ethanedial, hot KMnO4 turning any side chain with a benzylic hydrogen into COOH, side-chain versus ring chlorination of toluene, and the Etard reaction, with two solved problems and the common traps.https://rankdeterminant.com/media/v/chem-u15-ch4-c4.mp4?v=6a6629ccfc-64b1305042026-10-21yes https://rankdeterminant.com/v/chem-u15-ch5-c1https://rankdeterminant.com/media/v/chem-u15-ch5-c1.jpg?v=8b29a0cbcb-a62d68Overview | JEE Chemistry (English)How to use the three timed sets of mixed JEE Main problems on hydrocarbons: alkanes, alkenes, alkynes and arenes, 25 minutes per set. Quick tools for the Wurtz reaction, alkane combustion, Markovnikov's rule and the peroxide effect, terminal alkyne tests and directing groups, and two solved problems: the alkane that needs 11 moles of oxygen, and a Wurtz reaction with two different halides.https://rankdeterminant.com/media/v/chem-u15-ch5-c1.mp4?v=8b29a0cbcb-a62d685152026-10-21yes https://rankdeterminant.com/v/chem-u15-ch5-c2https://rankdeterminant.com/media/v/chem-u15-ch5-c2.jpg?v=ac92f2cc9d-c1ef9aSet 1 | JEE Chemistry (English)Hydrocarbons mixed problems for JEE Main, set 1: the Wurtz reaction and the three-alkane mixture from two different halides, soda lime decarboxylation, moles of oxygen to burn an alkane, chlorination percentages from number of hydrogens times reactivity, Markovnikov's rule and the peroxide effect for HBr only, the terminal alkyne test, ortho, para and meta directing groups, and two solved problems.https://rankdeterminant.com/media/v/chem-u15-ch5-c2.mp4?v=ac92f2cc9d-c1ef9a5342026-10-21yes https://rankdeterminant.com/v/chem-u15-ch5-c3https://rankdeterminant.com/media/v/chem-u15-ch5-c3.jpg?v=b4bee53fa6-bdb02aSet 2 | JEE Chemistry (English)Two arene problems from Hydrocarbons Set 2, solved step by step: the mass of BHC from 7.8 g of benzene in ultraviolet light (addition, not substitution, so 29.1 g), and ethylbenzene with chlorine in the dark with FeCl3 (ring, para product) and in light (side chain, benzylic carbon). Covers why benzene prefers substitution, ortho and para direction by alkyl groups, and the light versus Lewis acid rule.https://rankdeterminant.com/media/v/chem-u15-ch5-c3.mp4?v=b4bee53fa6-bdb02a5132026-10-21yes https://rankdeterminant.com/v/chem-u15-ch5-c4https://rankdeterminant.com/media/v/chem-u15-ch5-c4.jpg?v=1c56ad2621-0df543Set 3 | JEE Chemistry (English)A JEE Main hydrocarbons problem class (Set 3) on alkynes: hydration of ethyne with mercuric sulphate and dilute sulphuric acid through the enol to ethanal, the mass of ethanal from 2.6 g of ethyne, Lindlar's catalyst versus sodium in liquid ammonia, anti addition of bromine, and why trans-but-2-ene gives meso-2,3-dibromobutane while the cis alkene gives the racemic product.https://rankdeterminant.com/media/v/chem-u15-ch5-c4.mp4?v=1c56ad2621-0df5435232026-10-21yes https://rankdeterminant.com/v/chem-u15-ch6-c1https://rankdeterminant.com/media/v/chem-u15-ch6-c1.jpg?v=9e1e3125f4-bbc457Overview | JEE Chemistry (English)How to use the hydrocarbons unit problem bank: Part A at JEE Main level, Part B at JEE Advanced level, Part C on the reasons behind the reactions. Work back from ozonolysis products to the alkene (cyclohexanone and methanal give methylidenecyclohexane), identify hexa-2,4-diene from ethanal and ethanedial, and see why it has three geometrical isomers, not four.https://rankdeterminant.com/media/v/chem-u15-ch6-c1.mp4?v=9e1e3125f4-bbc4574292026-10-21yes https://rankdeterminant.com/v/chem-u15-ch6-c2https://rankdeterminant.com/media/v/chem-u15-ch6-c2.jpg?v=f2baba32aa-b459cdPart A: JEE Main Level | JEE Chemistry (English)JEE Main-level hydrocarbon problems solved like a live class: the volume of air needed to burn propane, working back from ozonolysis products to methylenecyclohexane, the order of nitration and chlorination for 1-chloro-3-nitrobenzene, propane from sodium butanoate and soda lime, and the percentage of 2-bromobutane from the bromination of butane.https://rankdeterminant.com/media/v/chem-u15-ch6-c2.mp4?v=f2baba32aa-b459cd4612026-10-21yes https://rankdeterminant.com/v/chem-u15-ch6-c4https://rankdeterminant.com/media/v/chem-u15-ch6-c4.jpg?v=11361de2dc-3204c8Part C: Concept Checks | JEE Chemistry (English)Quick reasoning checks on hydrocarbons for JEE: why HBr adds the anti-Markovnikov way with a peroxide (and only HBr), why the -OH group is ortho, para-directing while halogens deactivate yet still direct ortho and para, why alkanes react by substitution but alkenes by addition, and why Friedel-Crafts alkylation with 1-chloropropane gives mainly isopropylbenzene, plus the acylation route to propylbenzene.https://rankdeterminant.com/media/v/chem-u15-ch6-c4.mp4?v=11361de2dc-3204c85042026-10-21yes https://rankdeterminant.com/v/chem-u16-ch1-c1https://rankdeterminant.com/media/v/chem-u16-ch1-c1.jpg?v=a85e60d1ee-fe6889Classification | JEE Chemistry (English)Classification of haloalkanes and haloarenes for JEE Main and Advanced: alkyl and aryl halides, mono-, di- and polyhalogen compounds, geminal and vicinal dihalides, primary, secondary and tertiary halides, allylic, benzylic, vinylic and aryl halides, which classes are very reactive or very unreactive towards nucleophilic substitution, and two solved problems with the common traps.https://rankdeterminant.com/media/v/chem-u16-ch1-c1.mp4?v=a85e60d1ee-fe68894742026-10-21yes https://rankdeterminant.com/v/chem-u16-ch1-c2https://rankdeterminant.com/media/v/chem-u16-ch1-c2.jpg?v=9d49f5c937-1732f3Nomenclature | JEE Chemistry (English)How to name alkyl and aryl halides for JEE Main and Advanced: common names versus IUPAC names, halogen prefixes, lowest locants, alphabetical order and the tie rule, why a double bond gets the lower number before the halogen, ortho, meta and para dihalobenzenes, the course's table from isobutyl chloride to carbon tetrachloride, and two solved naming problems.https://rankdeterminant.com/media/v/chem-u16-ch1-c2.mp4?v=9d49f5c937-1732f34852026-10-21yes https://rankdeterminant.com/v/chem-u16-ch1-c3https://rankdeterminant.com/media/v/chem-u16-ch1-c3.jpg?v=4aa9dd5e6f-8f4de0Isomerism in Halogen Compounds | JEE Chemistry (English)How to count isomers of halogen compounds: one monohalide for each kind of hydrogen in each skeleton, chiral centres and enantiomers, cis-trans dihaloethenes and ortho, meta, para benzenes, with two solved JEE-style problems on C4H9Br and C5H11Cl and the double-counting traps students fall for.https://rankdeterminant.com/media/v/chem-u16-ch1-c3.mp4?v=4aa9dd5e6f-8f4de05272026-10-21yes https://rankdeterminant.com/v/chem-u16-ch1-c4https://rankdeterminant.com/media/v/chem-u16-ch1-c4.jpg?v=d3d539827b-bb953dThe Carbon–Halogen Bond and Physical Properties | JEE Chemistry (English)Physical properties of haloalkanes for JEE: why the carbon–halogen bond is polar, how bond length and bond enthalpy change from CH3F to CH3I, the reactivity order RI > RBr > RCl > RF, why CH3Cl has a larger dipole moment than CH3F, boiling point trends with mass and branching, density, solubility in water, and two solved ordering problems.https://rankdeterminant.com/media/v/chem-u16-ch1-c4.mp4?v=d3d539827b-bb953d5092026-10-21yes https://rankdeterminant.com/v/chem-u16-ch1-c5https://rankdeterminant.com/media/v/chem-u16-ch1-c5.jpg?v=da9a2e0dd2-16097aIIT-JEE Questions: Structure and Properties | JEE Chemistry (English)Two classic IIT-JEE questions on halogen compounds, solved step by step: is m-chlorobromobenzene an isomer of m-bromochlorobenzene, and how does resonance change the dipole moment of vinyl chloride? Covers alphabetical naming, ortho, meta and para positions, the polar C–Cl bond, mu = q × d, and why chlorine on an sp2 carbon gives a smaller dipole moment.https://rankdeterminant.com/media/v/chem-u16-ch1-c5.mp4?v=da9a2e0dd2-16097a5012026-10-21yes https://rankdeterminant.com/v/chem-u16-ch2-c1https://rankdeterminant.com/media/v/chem-u16-ch2-c1.jpg?v=6b318c6cfd-bade0bOverview | JEE Chemistry (English)Methods of preparation of haloalkanes and haloarenes at a glance for JEE Main and Advanced: alkyl halides from alcohols with HX, PX3, PCl5 and thionyl chloride, from alkanes and alkenes (Markovnikov and the peroxide case), Finkelstein and Swarts halogen exchange, aryl halides by ring halogenation and the Sandmeyer route, and two solved problems: HBr with propene, and fluoroethane from ethanol.https://rankdeterminant.com/media/v/chem-u16-ch2-c1.mp4?v=6b318c6cfd-bade0b5162026-10-21yes https://rankdeterminant.com/v/chem-u16-ch2-c2https://rankdeterminant.com/media/v/chem-u16-ch2-c2.jpg?v=1d68399af0-4b9014From Alcohols | JEE Chemistry (English)How alcohols are turned into alkyl halides: hydrogen halides with the HI > HBr > HCl order and the Lucas reagent, why HI is made with phosphoric acid, PCl5 and PX3, thionyl chloride as the best method, carbocation rearrangement with HX, why phenols do not react, and two solved JEE-style problems including a hydride shift.https://rankdeterminant.com/media/v/chem-u16-ch2-c2.mp4?v=1d68399af0-4b90145072026-10-21yes https://rankdeterminant.com/v/chem-u16-ch2-c3https://rankdeterminant.com/media/v/chem-u16-ch2-c3.jpg?v=57dd757e78-e5c3caFrom Hydrocarbons | JEE Chemistry (English)How haloalkanes and haloarenes are made from hydrocarbons for JEE: free-radical halogenation of alkanes and why it gives mixtures, allylic chlorination at 773 K, NBS, side-chain chlorination of toluene, Markovnikov addition of HX and the peroxide effect with HBr, the bromine decolourisation test, ring halogenation with a Lewis acid in the dark, iodination with an oxidising agent, and two solved problems.https://rankdeterminant.com/media/v/chem-u16-ch2-c3.mp4?v=57dd757e78-e5c3ca5112026-10-21yes https://rankdeterminant.com/v/chem-u16-ch2-c4https://rankdeterminant.com/media/v/chem-u16-ch2-c4.jpg?v=36bc8e414e-0acdf1Halogen Exchange | JEE Chemistry (English)Halogen exchange for JEE chemistry: the Finkelstein reaction (R–X + NaI in dry acetone, and why NaCl and NaBr precipitating drives it forward), the Swarts reaction with AgF, Hg2F2, CoF2 or SbF3, the best way to make alkyl fluorides, and the Hunsdiecker reaction that gives a bromide with one carbon fewer. Two solved problems: 1-chlorobutane to 1-iodobutane, and silver butanoate to 1-bromopropane.https://rankdeterminant.com/media/v/chem-u16-ch2-c4.mp4?v=36bc8e414e-0acdf14662026-10-21yes https://rankdeterminant.com/v/chem-u16-ch2-c5https://rankdeterminant.com/media/v/chem-u16-ch2-c5.jpg?v=24026ccce8-f6e089Aryl Halides from Diazonium Salts | JEE Chemistry (English)Aryl halides from diazonium salts for JEE chemistry: diazotisation of an aromatic amine with NaNO2 and acid at 273–278 K, the Sandmeyer reaction (CuCl/HCl, CuBr/HBr, CuCN/KCN), the Gattermann reaction with copper powder, iodobenzene with KI, fluorobenzene by the Balz–Schiemann reaction, and two solved problems: the volume of nitrogen gas from aniline, and m-bromochlorobenzene from benzene.https://rankdeterminant.com/media/v/chem-u16-ch2-c5.mp4?v=24026ccce8-f6e0895082026-10-21yes https://rankdeterminant.com/v/chem-u16-ch2-c7https://rankdeterminant.com/media/v/chem-u16-ch2-c7.jpg?v=38a3597cb7-06fea4AIEEE and Earlier JEE Main Questions: Preparation | JEE Chemistry (English)Two older AIEEE and JEE Main questions on preparing halogen compounds, solved and explained: why the Swarts reaction (R–X with AgF, Hg2F2, CoF2 or SbF3) is the best way to make alkyl fluorides, why Finkelstein, Sandmeyer and direct fluorination are wrong, and how fluorobenzene is made from aniline through the diazonium salt and HBF4, with the bromobenzene and phenol traps.https://rankdeterminant.com/media/v/chem-u16-ch2-c7.mp4?v=38a3597cb7-06fea45332026-10-21yes https://rankdeterminant.com/v/chem-u16-ch3-c1https://rankdeterminant.com/media/v/chem-u16-ch3-c1.jpg?v=f247a3b6e7-da5fc6Substitution Reactions and Their Products | JEE Chemistry (English)Nucleophilic substitution of haloalkanes for JEE: why the partially positive carbon of the C–X bond is attacked, the products with hydroxide, alkoxide (Williamson), iodide, ammonia, thiols, acetylides and LiAlH4, and ambident nucleophiles: KCN gives a nitrile but AgCN an isocyanide, KNO2 an alkyl nitrite but AgNO2 a nitroalkane. Two solved problems: chloroethane with KCN and AgCN, and bromoethane to N-methylethanamine.https://rankdeterminant.com/media/v/chem-u16-ch3-c1.mp4?v=f247a3b6e7-da5fc65072026-10-27yes https://rankdeterminant.com/v/chem-u16-ch3-c2https://rankdeterminant.com/media/v/chem-u16-ch3-c2.jpg?v=835fc09e05-9187d6The Bimolecular Mechanism: S_N2 | JEE Chemistry (English)The SN2 mechanism of haloalkanes for JEE: one-step back-side attack, the second-order rate law, the crowded five-group transition state, the reactivity order methyl > primary > secondary > tertiary, beta-branching and slow neopentyl halides, Walden inversion, why polar aprotic solvents like DMSO help, and two solved problems on rate change and branching.https://rankdeterminant.com/media/v/chem-u16-ch3-c2.mp4?v=835fc09e05-9187d64932026-10-21yes https://rankdeterminant.com/v/chem-u16-ch3-c3https://rankdeterminant.com/media/v/chem-u16-ch3-c3.jpg?v=3f3846457c-abde9dThe Unimolecular Mechanism: S_N1 | JEE Chemistry (English)The SN1 mechanism for JEE chemistry: slow ionisation to a planar carbocation, fast attack of the nucleophile, rate = k[RX] (first order, independent of the nucleophile), reactivity 3° > 2° > 1° > CH3, why allylic and benzylic halides are so fast, hydride and alkyl shifts, racemisation, polar protic solvents, and two solved problems including the classic rearrangement trap.https://rankdeterminant.com/media/v/chem-u16-ch3-c3.mp4?v=3f3846457c-abde9d5082026-10-21yes https://rankdeterminant.com/v/chem-u16-ch3-c4https://rankdeterminant.com/media/v/chem-u16-ch3-c4.jpg?v=4f1ace88dd-23a8c8Stereochemistry of Substitution | JEE Chemistry (English)Stereochemistry of nucleophilic substitution for JEE: why SN2 at a chiral carbon gives inversion through back-side attack, why SN1 gives racemisation through a planar carbocation attacked on either face, the two ways the configuration is retained, and why the sign of rotation cannot be predicted from the mechanism. Two solved problems: 2-methylbutan-1-ol with HCl, and 2-iodobutane losing its optical activity in NaI and acetone.https://rankdeterminant.com/media/v/chem-u16-ch3-c4.mp4?v=4f1ace88dd-23a8c84992026-10-21yes https://rankdeterminant.com/v/chem-u16-ch3-c5https://rankdeterminant.com/media/v/chem-u16-ch3-c5.jpg?v=04cf8182f5-a4ff62Which Mechanism? The Deciding Factors | JEE Chemistry (English)SN1 vs SN2 for JEE chemistry: how to decide the mechanism of nucleophilic substitution from the substrate (methyl, primary, secondary, tertiary), the nucleophile (weak or strong) and the solvent (polar protic or polar aprotic), with the rate laws, racemisation versus inversion, rearrangement, the leaving-group order I > Br > Cl > F, and two solved problems including 2-bromobutane going both ways.https://rankdeterminant.com/media/v/chem-u16-ch3-c5.mp4?v=04cf8182f5-a4ff624792026-10-21yes https://rankdeterminant.com/v/chem-u16-ch3-c7https://rankdeterminant.com/media/v/chem-u16-ch3-c7.jpg?v=56e88bc404-74900cAIEEE and Earlier JEE Main Questions: Substitution | JEE Chemistry (English)Older AIEEE and JEE Main questions on nucleophilic substitution, solved and explained: why the SN2 order is methyl > primary > secondary > tertiary (steric hindrance), why the SN1 order follows carbocation stability, how resonance makes the p-methoxybenzyl cation so stable, the nucleophile and solvent that favour each path, inversion versus racemisation, and the increasing-order trap.https://rankdeterminant.com/media/v/chem-u16-ch3-c7.mp4?v=56e88bc404-74900c5032026-10-21yes https://rankdeterminant.com/v/chem-u16-ch4-c1https://rankdeterminant.com/media/v/chem-u16-ch4-c1.jpg?v=aec6f4b46a-ec6100Dehydrohalogenation | JEE Chemistry (English)Dehydrohalogenation of alkyl halides for JEE: beta-elimination with alcoholic KOH, Saytzeff's rule for the more substituted alkene, trans over cis, the E2 mechanism (one step, anti, rate = k[RX][B-]), E1 through a carbocation, the ease of elimination, and the Hofmann product with a bulky base. Two solved problems: 2-bromopentane, and 2-bromo-2,3-dimethylbutane with two different bases.https://rankdeterminant.com/media/v/chem-u16-ch4-c1.mp4?v=aec6f4b46a-ec61005202026-10-21yes https://rankdeterminant.com/v/chem-u16-ch4-c2https://rankdeterminant.com/media/v/chem-u16-ch4-c2.jpg?v=0de248e3a6-2598c6Substitution or Elimination? | JEE Chemistry (English)Substitution or elimination? Learn to predict whether an alkyl halide reacts by SN2, E2, SN1 or E1: why a nucleophile is also a base, aqueous KOH versus alcoholic KOH, the primary, secondary and tertiary halide table for strong bases and good nucleophiles, bulky potassium tert-butoxide, temperature, solvolysis, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u16-ch4-c2.mp4?v=0de248e3a6-2598c64972026-10-21yes https://rankdeterminant.com/v/chem-u16-ch4-c3https://rankdeterminant.com/media/v/chem-u16-ch4-c3.jpg?v=0587cb81e3-9c9d08Reactions with Metals | JEE Chemistry (English)Reactions of alkyl halides with metals for JEE: making a Grignard reagent in dry ether, why its carbon acts as a carbanion, why water and any acidic hydrogen destroy it, R–D from heavy water, carboxylic acids from carbon dioxide, the Wurtz reaction and its three-alkane mixture, the Corey–House synthesis, ring closing, reduction, tetraethyl lead, and two solved problems.https://rankdeterminant.com/media/v/chem-u16-ch4-c3.mp4?v=0587cb81e3-9c9d085352026-10-21yes https://rankdeterminant.com/v/chem-u16-ch4-c5https://rankdeterminant.com/media/v/chem-u16-ch4-c5.jpg?v=87dc27912e-bf9344AIEEE and Earlier JEE Main Questions: Elimination and Metals | JEE Chemistry (English)Older AIEEE and JEE Main questions on elimination and reactions with metals, solved and explained: beta-elimination with alcoholic KOH, Saytzeff's rule (2-bromobutane gives mainly but-2-ene), the anti rule of E2, substitution versus elimination for tertiary halides, Grignard reagents with acidic hydrogens (phenylmagnesium bromide with methanol gives benzene), and dialkylcopper reagents giving alkanes.https://rankdeterminant.com/media/v/chem-u16-ch4-c5.mp4?v=87dc27912e-bf93445092026-10-21yes https://rankdeterminant.com/v/chem-u16-ch5-c1https://rankdeterminant.com/media/v/chem-u16-ch5-c1.jpg?v=939824d89a-bc9cc4Overview | JEE Chemistry (English)Haloarenes for JEE in one map: making chlorobenzene (chlorination in the dark, Sandmeyer, Gattermann, KI, Balz–Schiemann), why aryl halides resist nucleophiles (resonance, the sp2 carbon, Dow's process) and how ortho and para nitro groups help, the halogen that deactivates yet directs ortho and para, and the Wurtz–Fittig, Fittig and Grignard reactions. Two solved problems.https://rankdeterminant.com/media/v/chem-u16-ch5-c1.mp4?v=939824d89a-bc9cc45052026-10-21yes https://rankdeterminant.com/v/chem-u16-ch5-c2https://rankdeterminant.com/media/v/chem-u16-ch5-c2.jpg?v=9a15acb721-4b7f88Low Reactivity towards Nucleophiles | JEE Chemistry (English)Why is chlorobenzene so much less reactive than chloroethane towards nucleophiles? Resonance and partial double-bond character, the sp2 carbon and shorter C–Cl bond, why SN1 and SN2 both fail, Dow's process, how ortho and para nitro groups make hydrolysis easy while a meta nitro group does not, the addition–elimination (Meisenheimer complex) mechanism, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u16-ch5-c2.mp4?v=9a15acb721-4b7f885002026-10-21yes https://rankdeterminant.com/v/chem-u16-ch5-c3https://rankdeterminant.com/media/v/chem-u16-ch5-c3.jpg?v=63bb9be9e6-69f1d5Electrophilic Substitution | JEE Chemistry (English)Why a halogen deactivates the benzene ring yet directs ortho and para: the inductive pull versus the resonance push, why the para product is major, the reactions of chlorobenzene (chlorination, nitration, sulphonation, Friedel–Crafts methylation and acylation), the classic activating trap, and two solved JEE-style problems including a synthesis where the order of steps decides the product.https://rankdeterminant.com/media/v/chem-u16-ch5-c3.mp4?v=63bb9be9e6-69f1d55012026-10-21yes https://rankdeterminant.com/v/chem-u16-ch5-c4https://rankdeterminant.com/media/v/chem-u16-ch5-c4.jpg?v=45b991a692-c58723Reactions with Metals; Ring and Side-Chain Halogen | JEE Chemistry (English)Haloarenes with metals: the Wurtz-Fittig reaction (alkylarenes), the Fittig and Ullmann reactions (biaryls), and Grignard reagents from bromobenzene in dry ether and chlorobenzene in THF. Then ring halogen versus side-chain halogen: the silver nitrate test for benzyl chloride and chlorobenzene, KMnO4 oxidation, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u16-ch5-c4.mp4?v=45b991a692-c587234752026-10-21yes https://rankdeterminant.com/v/chem-u16-ch5-c6https://rankdeterminant.com/media/v/chem-u16-ch5-c6.jpg?v=b3f171f72d-4940d6AIEEE and Earlier JEE Main Questions: Haloarenes | JEE Chemistry (English)Older AIEEE and JEE Main questions on haloarenes, solved and explained: why a ring halogen resists substitution while a benzylic halogen reacts at once, the silver nitrate test, side-chain oxidation with hot KMnO4, the AIEEE 2003 iodobenzene and benzyl iodide bottles, and the JEE Main 2013 C8H9Br puzzle that ends in 2-methylbenzyl bromide.https://rankdeterminant.com/media/v/chem-u16-ch5-c6.mp4?v=b3f171f72d-4940d65192026-10-21yes https://rankdeterminant.com/v/chem-u16-ch6-c1https://rankdeterminant.com/media/v/chem-u16-ch6-c1.jpg?v=f868630b9b-aa8d96Overview | JEE Chemistry (English)Polyhalogen compounds for JEE in one overview: dihalides with aqueous alkali, why chloroform is kept in dark, full bottles (phosgene), the iodoform test and its traps, carbon tetrachloride and freons (Swarts reaction, the ozone chain reaction), DDT and BHC uses and hazards, and two solved problems: a JEE Main uses match and the percentage of chlorine in DDT.https://rankdeterminant.com/media/v/chem-u16-ch6-c1.mp4?v=f868630b9b-aa8d965502026-10-21yes https://rankdeterminant.com/v/chem-u16-ch6-c2https://rankdeterminant.com/media/v/chem-u16-ch6-c2.jpg?v=5ebf8c8445-851a62Dihalides and Trihalides | JEE Chemistry (English)What do geminal and vicinal dihalides give with aqueous KOH? A vicinal dihalide gives a diol, a terminal geminal dihalide an aldehyde, a non-terminal one a ketone, and a trihalide a carboxylic acid. Also: alkynes with alcoholic KOH and sodamide, alkenes from vicinal dihalides with zinc dust, the uses and hazards of dichloromethane, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u16-ch6-c2.mp4?v=5ebf8c8445-851a624602026-10-21yes https://rankdeterminant.com/v/chem-u16-ch6-c3https://rankdeterminant.com/media/v/chem-u16-ch6-c3.jpg?v=0953ece9fd-b6bb35Chloroform | JEE Chemistry (English)Chloroform, trichloromethane, for JEE Chemistry: preparation from ethanol or propanone with bleaching powder, uses including freon R-22, why it is kept in dark, full bottles with a little ethanol (phosgene), and its reactions with aqueous KOH, the carbylamine test, silver powder, nitric acid and strong bases (dichlorocarbene), with two solved problems.https://rankdeterminant.com/media/v/chem-u16-ch6-c3.mp4?v=0953ece9fd-b6bb355072026-10-21yes https://rankdeterminant.com/v/chem-u16-ch6-c4https://rankdeterminant.com/media/v/chem-u16-ch6-c4.jpg?v=6f0665bb97-0bdd92Iodoform and the Haloform Reaction | JEE Chemistry (English)The iodoform test and the haloform reaction for JEE Chemistry: the CH3CO and CH3CH(OH) groups the test needs, the balanced equation and the acid salt with one carbon fewer, which compounds pass (ethanal, methyl ketones, ethanol, secondary alcohols) and which fail (methanol, propan-1-ol, pentan-3-one, ethanoic acid), iodoform as an antiseptic, and two solved problems.https://rankdeterminant.com/media/v/chem-u16-ch6-c4.mp4?v=6f0665bb97-0bdd925082026-10-21yes https://rankdeterminant.com/v/chem-u16-ch6-c5https://rankdeterminant.com/media/v/chem-u16-ch6-c5.jpg?v=752c391f5c-7e9fb5Carbon Tetrachloride, Freons, DDT and BHC | JEE Chemistry (English)Carbon tetrachloride, freons, DDT and BHC for JEE: how CCl4 is made, its uses and hazards, why water hydrolyses SiCl4 but not CCl4, freon-12 by the Swarts reaction, the chlorine-atom chain that destroys ozone, why DDT is banned, BHC as an addition product, and two solved problems: the percentage of chlorine in BHC and decoding freon numbers.https://rankdeterminant.com/media/v/chem-u16-ch6-c5.mp4?v=752c391f5c-7e9fb55322026-10-21yes https://rankdeterminant.com/v/chem-u16-ch6-c6https://rankdeterminant.com/media/v/chem-u16-ch6-c6.jpg?v=17997e655d-4d7227IIT-JEE Questions: Polyhalogen Compounds | JEE Chemistry (English)Two IIT-JEE questions on polyhalogen compounds, solved step by step: what CH3CH2CHCl2 gives when boiled with aqueous alkali (propanal, not a diol), and how 24.24% carbon, 4.04% hydrogen and 2.90 g of silver chloride lead to C2H4Cl2 and its isomers, 1,2-dichloroethane and 1,1-dichloroethane. Covers geminal and vicinal dihalides, Carius' method and the empirical formula.https://rankdeterminant.com/media/v/chem-u16-ch6-c6.mp4?v=17997e655d-4d72275302026-10-21yes https://rankdeterminant.com/v/chem-u16-ch6-c7https://rankdeterminant.com/media/v/chem-u16-ch6-c7.jpg?v=65683b4ef5-f3818fAIEEE and Earlier JEE Main Questions: Polyhalogen Compounds | JEE Chemistry (English)Older AIEEE and JEE Main questions on polyhalogen compounds, solved and explained: which dichloride gives acetaldehyde with aqueous KOH (AIEEE 2009), why 1,1,1-trichloroethane with silver powder gives but-2-yne (JEE Main 2014), how DDT is made from chlorobenzene and chloral, and why it is a non-biodegradable pollutant banned in many countries.https://rankdeterminant.com/media/v/chem-u16-ch6-c7.mp4?v=65683b4ef5-f3818f5042026-10-21yes https://rankdeterminant.com/v/chem-u16-ch7-c1https://rankdeterminant.com/media/v/chem-u16-ch7-c1.jpg?v=c6f79c452c-809797Overview | JEE Chemistry (English)How to use the three timed sets of mixed JEE Main problems on haloalkanes and haloarenes: 25 minutes per set, SN1 versus SN2 rate laws and stereochemistry, aqueous versus alcoholic KOH, Saytzeff's rule and the bulky base trap, Grignard reagents, haloarene reactivity, and two solved problems: an SN2 rate change and an SN1 enantiomeric excess.https://rankdeterminant.com/media/v/chem-u16-ch7-c1.mp4?v=c6f79c452c-8097975102026-10-21yes https://rankdeterminant.com/v/chem-u16-ch7-c2https://rankdeterminant.com/media/v/chem-u16-ch7-c2.jpg?v=eaed96c620-af4008Set 1 | JEE Chemistry (English)Haloalkanes and haloarenes mixed problems for JEE Main, set 1: thionyl chloride and the Finkelstein reaction, the SN2 rate law and Walden inversion, SN1 and carbocation stability with silver nitrate, Saytzeff's rule, why an acidic hydrogen destroys a Grignard reagent, and two solved problems: an SN2 rate change, and the name and R/S label of an SN2 product.https://rankdeterminant.com/media/v/chem-u16-ch7-c2.mp4?v=eaed96c620-af40085212026-10-21yes https://rankdeterminant.com/v/chem-u16-ch7-c3https://rankdeterminant.com/media/v/chem-u16-ch7-c3.jpg?v=96b7d8877d-5cfb66Set 2 | JEE Chemistry (English)Two haloalkane problems from Set 2, solved step by step: which of 1-bromopropane and 1-bromo-2-methylpropane reacts faster by SN2 (branching at the beta carbon slows it), and the percentages of inversion and retention when an SN1 product shows a 10% enantiomeric excess (55% and 45%). Covers back-side attack, Walden inversion, the planar carbocation and racemisation.https://rankdeterminant.com/media/v/chem-u16-ch7-c3.mp4?v=96b7d8877d-5cfb665022026-10-21yes https://rankdeterminant.com/v/chem-u16-ch7-c4https://rankdeterminant.com/media/v/chem-u16-ch7-c4.jpg?v=a82787ef70-ea962aSet 3 | JEE Chemistry (English)Set 3 of mixed JEE Main-pattern problems on haloalkanes and haloarenes: NBS benzylic bromination, iodobenzene from a diazonium salt, a Williamson ether, C–X bond enthalpy and reactivity, carbocation stability in hydrolysis, nitro-activated haloarenes, and two solved problems: PBr3 stoichiometry and SN2 inversion turning cis into trans.https://rankdeterminant.com/media/v/chem-u16-ch7-c4.mp4?v=a82787ef70-ea962a5312026-10-22yes https://rankdeterminant.com/v/chem-u16-ch8-c1https://rankdeterminant.com/media/v/chem-u16-ch8-c1.jpg?v=8735419674-d56bf0Overview | JEE Chemistry (English)How to use the haloalkanes and haloarenes unit problem bank: Part A at JEE Main level, Part B at JEE Advanced level, Part C on the ideas behind the reactions. Learn the SN2 and SN1 rate laws, find the mechanism and the rate constant from rate data, and work out what fraction of a secondary bromide's hydrolysis goes by SN2 when both paths run together.https://rankdeterminant.com/media/v/chem-u16-ch8-c1.mp4?v=8735419674-d56bf05082026-10-21yes https://rankdeterminant.com/v/chem-u16-ch8-c2https://rankdeterminant.com/media/v/chem-u16-ch8-c2.jpg?v=7c072454d5-d95c41Part A: JEE Main Level | JEE Chemistry (English)Haloalkanes problems at JEE Main level from Part A of the unit problem bank, solved step by step: telling SN1 from SN2 by the rate law, the rate constant and its units (0.03 per molar per second), aqueous versus alcoholic KOH, and Saytzeff's rule for the major alkene from 2-bromo-2-methylpentane, with the classic traps.https://rankdeterminant.com/media/v/chem-u16-ch8-c2.mp4?v=7c072454d5-d95c415272026-10-21yes https://rankdeterminant.com/v/chem-u16-ch8-c4https://rankdeterminant.com/media/v/chem-u16-ch8-c4.jpg?v=a69909c643-38ee98Part C: Concept Checks | JEE Chemistry (English)Quick reasoning checks on haloalkanes for JEE: why the Finkelstein reaction is run in dry acetone and not water, why a protic solvent such as methanol slows SN2, why vinyl chloride is unreactive but allyl chloride is reactive, which atom of the C-X bond a nucleophile attacks, and why a tertiary halide is the fastest by SN1 but the slowest by SN2.https://rankdeterminant.com/media/v/chem-u16-ch8-c4.mp4?v=a69909c643-38ee985022026-10-21yes https://rankdeterminant.com/v/chem-u17-ch1-c1https://rankdeterminant.com/media/v/chem-u17-ch1-c1.jpg?v=05de74f019-de0406Overview | JEE Chemistry (English)Preparation and reactions of alcohols on one map for JEE Main and Advanced: hydration, oxymercuration and hydroboration of alkenes, reduction of aldehydes, ketones, acids and esters, Grignard reagents, sodium, halides, esters, dehydration of ethanol at 443 K and 413 K, PCC and dichromate oxidation, the Lucas, iodoform and Tollens' tests, and two solved problems including identifying butan-2-ol.https://rankdeterminant.com/media/v/chem-u17-ch1-c1.mp4?v=05de74f019-de04065612026-10-22yes https://rankdeterminant.com/v/chem-u17-ch1-c2https://rankdeterminant.com/media/v/chem-u17-ch1-c2.jpg?v=8ba2885067-2c2fc8Classification, Naming and Physical Properties | JEE Chemistry (English)Alcohols for JEE Main and Advanced: what counts as an alcohol, monohydric, dihydric and trihydric alcohols, primary, secondary and tertiary, allylic and benzylic, IUPAC naming rules, why ethanol boils 103 K above dimethyl ether, the effect of chain length and branching on boiling point and solubility, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/chem-u17-ch1-c2.mp4?v=8ba2885067-2c2fc85152026-10-22yes https://rankdeterminant.com/v/chem-u17-ch1-c3https://rankdeterminant.com/media/v/chem-u17-ch1-c3.jpg?v=00f66cf70e-b523c6Preparation of Alcohols | JEE Chemistry (English)How alcohols are prepared for JEE: acid-catalysed hydration (Markovnikov, carbocation may rearrange), oxymercuration-demercuration, hydroboration-oxidation (anti-Markovnikov, syn), reduction with NaBH4 or LiAlH4, Grignard reagents with methanal, aldehydes, ketones and esters, methanol and ethanol, and two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch1-c3.mp4?v=00f66cf70e-b523c65612026-10-22yes https://rankdeterminant.com/v/chem-u17-ch1-c4https://rankdeterminant.com/media/v/chem-u17-ch1-c4.jpg?v=521a49336a-b051f7Reactions of the O–H Bond | JEE Chemistry (English)Reactions of the O–H bond of alcohols for JEE: hydrogen from sodium and other active metals, the acid strength order water > primary > secondary > tertiary, why alkoxides are stronger bases than hydroxide and aqueous NaOH cannot make sodium ethoxide, esterification and which bonds break, acid chlorides with pyridine, aspirin, and two solved problems on hydrogen volume and acetylation.https://rankdeterminant.com/media/v/chem-u17-ch1-c4.mp4?v=521a49336a-b051f75082026-10-22yes https://rankdeterminant.com/v/chem-u17-ch1-c5https://rankdeterminant.com/media/v/chem-u17-ch1-c5.jpg?v=8123dfa071-bc6e69Reactions of the C–O Bond | JEE Chemistry (English)Reactions that break the C–O bond of alcohols for JEE chemistry: alkyl halides from HX with the 3° > 2° > 1° and HI > HBr > HCl orders, the Lucas test, PCl5, PBr3 and SOCl2, dehydration with H2SO4, H3PO4 or alumina, the E1 mechanism, carbocation rearrangement, Saytzeff's rule, diethyl ether at 413 K, and two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch1-c5.mp4?v=8123dfa071-bc6e695272026-10-22yes https://rankdeterminant.com/v/chem-u17-ch1-c6https://rankdeterminant.com/media/v/chem-u17-ch1-c6.jpg?v=2804d5456d-0d7a15Oxidation and Tests for Alcohols | JEE Chemistry (English)Oxidation of primary, secondary and tertiary alcohols for JEE: acidified KMnO4 or K2Cr2O7 all the way to the acid, PCC to stop at the aldehyde, ketones from secondary alcohols, why tertiary alcohols resist, hot copper at 573 K, and the tests: sodium, ceric ammonium nitrate, ester, Lucas test, iodoform test, Tollens' and Fehling's, with two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch1-c6.mp4?v=2804d5456d-0d7a155402026-10-22yes https://rankdeterminant.com/v/chem-u17-ch1-c7https://rankdeterminant.com/media/v/chem-u17-ch1-c7.jpg?v=e2341b13d0-8fc430JEE Advanced Questions (2013–2015): Alcohols | JEE Chemistry (English)Two JEE Advanced questions on alcohols, solved step by step: the C4H10O naming question from 2014, where a real molecule gets a wrong name because the longest chain was not chosen, and the 2015 road map from phenylethyne through partial hydrogenation, hydroboration-oxidation, alkyne hydration, a Grignard reagent and acid-catalysed dehydration, with Saytzeff's rule and the classic traps.https://rankdeterminant.com/media/v/chem-u17-ch1-c7.mp4?v=e2341b13d0-8fc4305342026-10-22yes https://rankdeterminant.com/v/chem-u17-ch1-c8https://rankdeterminant.com/media/v/chem-u17-ch1-c8.jpg?v=29c7cc0dcd-536d9aIIT-JEE Questions (1979–2005): Alcohols | JEE Chemistry (English)Two classic IIT-JEE questions on alcohols, solved step by step: how to tell propan-1-ol from propan-2-ol with hot copper and Fehling's solution (and why a strong oxidant fails), and how the iodoform test identifies C8H10O as 1-phenylethanol and C7H6O2 as benzoic acid. Covers primary and secondary alcohols, oxidation, Fehling's test and the iodoform reaction.https://rankdeterminant.com/media/v/chem-u17-ch1-c8.mp4?v=29c7cc0dcd-536d9a5192026-10-22yes https://rankdeterminant.com/v/chem-u17-ch1-c9https://rankdeterminant.com/media/v/chem-u17-ch1-c9.jpg?v=2a4dc4fb9b-b9c85eAIEEE and Earlier JEE Main Questions: Alcohols | JEE Chemistry (English)Older AIEEE and JEE Main questions on alcohols, solved and explained: why the tertiary alcohol reacts fastest with Lucas reagent by the SN1 mechanism, protonation as the initiation step of acid-catalysed dehydration, the E1 steps, why 3-methylpentan-3-ol dehydrates most easily, and the AIEEE 2010 question where the alkene conjugated with the benzene ring beats Saytzeff's rule.https://rankdeterminant.com/media/v/chem-u17-ch1-c9.mp4?v=2a4dc4fb9b-b9c85e5032026-10-22yes https://rankdeterminant.com/v/chem-u17-ch2-c1https://rankdeterminant.com/media/v/chem-u17-ch2-c1.jpg?v=57618c60ae-88ec7eOverview | JEE Chemistry (English)Preparation and reactions of phenol on one map for JEE Main and Advanced: the cumene process, Dow's process, sulphonate fusion and diazonium salts, why phenol dissolves in NaOH but gives no CO2 with NaHCO3, bromine water versus bromine in CS2, nitration and picric acid, Kolbe and Reimer–Tiemann reactions, the FeCl3 test, and two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch2-c1.mp4?v=57618c60ae-88ec7e4782026-10-22yes https://rankdeterminant.com/v/chem-u17-ch2-c2https://rankdeterminant.com/media/v/chem-u17-ch2-c2.jpg?v=c5747f380b-9ac75bNaming, Structure and Physical Properties | JEE Chemistry (English)Phenols for JEE Main and Advanced: what makes a compound a phenol, the common and IUPAC names of cresols, catechol, resorcinol, hydroquinone, picric acid and salicylic acid, why the C–O bond of phenol is short and is not broken by HX or Lucas reagent, why phenol boils far above toluene, and why o-nitrophenol is steam-volatile, with two solved course problems and the classic traps.https://rankdeterminant.com/media/v/chem-u17-ch2-c2.mp4?v=c5747f380b-9ac75b4922026-10-22yes https://rankdeterminant.com/v/chem-u17-ch2-c3https://rankdeterminant.com/media/v/chem-u17-ch2-c3.jpg?v=0ffa8a6e59-6098b7Preparation of Phenol | JEE Chemistry (English)How phenol is prepared for JEE: the cumene process (air oxidation to cumene hydroperoxide, then dilute acid, giving phenol and acetone), Dow's process from chlorobenzene at 623 K and 300 atm, fusion of sodium benzenesulphonate with NaOH, and warming a diazonium salt with water, with two solved problems, including why m-cresol needs the diazonium route.https://rankdeterminant.com/media/v/chem-u17-ch2-c3.mp4?v=0ffa8a6e59-6098b75092026-10-22yes https://rankdeterminant.com/v/chem-u17-ch2-c4https://rankdeterminant.com/media/v/chem-u17-ch2-c4.jpg?v=75a8a936e1-8b5e52Acidity of Phenols | JEE Chemistry (English)Why phenol is about a million times more acidic than ethanol: the sp2 carbon and the resonance-stabilised phenoxide ion, reactions with sodium and NaOH, why phenol gives no CO2 with NaHCO3, how nitro and methyl groups at ortho, meta and para change the pKa, and two solved JEE-style problems on acid strength order and the bicarbonate test.https://rankdeterminant.com/media/v/chem-u17-ch2-c4.mp4?v=75a8a936e1-8b5e525012026-10-22yes https://rankdeterminant.com/v/chem-u17-ch2-c5https://rankdeterminant.com/media/v/chem-u17-ch2-c5.jpg?v=3699de6951-efcd08Reactions of Phenol | JEE Chemistry (English)Reactions of phenol for JEE Main and Advanced: esters with acid chlorides and anhydrides, aspirin, Williamson ethers, zinc dust, the neutral FeCl3 test, nitration to picric acid, bromination in CS2 versus bromine water, Kolbe's and Reimer–Tiemann reactions, oxidation to benzoquinone, azo coupling and phenolphthalein, with two solved course problems and the classic traps.https://rankdeterminant.com/media/v/chem-u17-ch2-c5.mp4?v=3699de6951-efcd084972026-10-22yes https://rankdeterminant.com/v/chem-u17-ch2-c6https://rankdeterminant.com/media/v/chem-u17-ch2-c6.jpg?v=ae844f3b59-8edc3aJEE Advanced Questions (2013–2016): Phenols | JEE Chemistry (English)Two JEE Advanced questions on phenols, solved step by step: the 2015 cumene question (why benzene and propene give isopropylbenzene, which C–H bond oxygen attacks, and cumene hydroperoxide), and the 2016 multiple-correct question on the Reimer–Tiemann reaction, Williamson ether synthesis, steam volatility, the neutral ferric chloride test and 2,4-DNP, with the classic traps.https://rankdeterminant.com/media/v/chem-u17-ch2-c6.mp4?v=ae844f3b59-8edc3a5192026-10-22yes https://rankdeterminant.com/v/chem-u17-ch2-c7https://rankdeterminant.com/media/v/chem-u17-ch2-c7.jpg?v=8b8df89050-5057b2IIT-JEE Questions (1982–2010): Phenols | JEE Chemistry (English)Older IIT-JEE questions on phenols, solved and explained: why phenol is acidic (resonance in the phenoxide ion), why it dissolves in NaOH but not in sodium bicarbonate, where bromine attacks the phenoxide ion, 2,4,6-tribromophenol with bromine water against monobromophenols in carbon disulphide, and the 1985 puzzle where C7H8O turns out to be m-cresol.https://rankdeterminant.com/media/v/chem-u17-ch2-c7.mp4?v=8b8df89050-5057b24852026-10-22yes https://rankdeterminant.com/v/chem-u17-ch2-c8https://rankdeterminant.com/media/v/chem-u17-ch2-c8.jpg?v=ff964af55f-406a31AIEEE and Earlier JEE Main Questions: Phenols | JEE Chemistry (English)Two AIEEE 2011 questions on phenols, solved step by step: which reagent tells phenol from benzoic acid (neutral FeCl3, and why aqueous NaOH fails), and why phenol with KBr and KBrO3 gives 2,4,6-tribromophenol. Covers the acidity of phenol, the phenoxide ion, the ferric chloride test, and bromine water versus bromine in CS2.https://rankdeterminant.com/media/v/chem-u17-ch2-c8.mp4?v=ff964af55f-406a314412026-10-22yes https://rankdeterminant.com/v/chem-u17-ch3-c1https://rankdeterminant.com/media/v/chem-u17-ch3-c1.jpg?v=174f9da65a-a06ea6Naming, Structure and Physical Properties | JEE Chemistry (English)How to name ethers for JEE Main and Advanced: common names in alphabetical order and IUPAC alkoxyalkane names, the bent sp3 structure with its 111.7 degree C–O–C angle and small dipole moment, why ethers boil far lower than isomeric alcohols yet dissolve in water about as well, metamers, and two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch3-c1.mp4?v=174f9da65a-a06ea64972026-10-22yes https://rankdeterminant.com/v/chem-u17-ch3-c2https://rankdeterminant.com/media/v/chem-u17-ch3-c2.jpg?v=312092defd-40dc09Preparation of Ethers | JEE Chemistry (English)How ethers are prepared for JEE: dehydration of primary alcohols with concentrated H2SO4 at 413 K (and why 443 K gives ethene), the Williamson synthesis by SN2 with a methyl or primary halide, why secondary and tertiary halides give alkenes, aryl ethers from sodium phenoxide, and two solved problems: methyl tert-butyl ether and tetrahydrofuran by an intramolecular Williamson synthesis.https://rankdeterminant.com/media/v/chem-u17-ch3-c2.mp4?v=312092defd-40dc095262026-10-22yes https://rankdeterminant.com/v/chem-u17-ch3-c3https://rankdeterminant.com/media/v/chem-u17-ch3-c3.jpg?v=7302f214c2-17983cReactions of Ethers | JEE Chemistry (English)How ethers react, for JEE: cleavage by concentrated HI (HI > HBr > HCl), why iodide attacks the smaller group by SN2 but a tertiary or benzylic group becomes the iodide by SN1, excess hot HI, why anisole gives phenol and not iodobenzene, Zeisel's method for methoxy groups, the activated anisole ring, peroxides, ethers as Lewis bases and epoxides, with two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch3-c3.mp4?v=7302f214c2-17983c5402026-10-22yes https://rankdeterminant.com/v/chem-u17-ch3-c5https://rankdeterminant.com/media/v/chem-u17-ch3-c5.jpg?v=f169ec4555-72aeccAIEEE and Recent JEE Main Questions: Ethers | JEE Chemistry (English)Two recent JEE Main questions on ethers, solved step by step: the right reactants for methyl phenyl ether (sodium phenoxide with bromomethane, never an aryl halide), and a mixed ether cleaved by excess hot HI whose alcohols both give the iodoform test. Covers the Williamson synthesis, cleavage of ethers by HI, alkyl aryl ethers and the iodoform test.https://rankdeterminant.com/media/v/chem-u17-ch3-c5.mp4?v=f169ec4555-72aecc5502026-10-22yes https://rankdeterminant.com/v/chem-u17-ch4-c1https://rankdeterminant.com/media/v/chem-u17-ch4-c1.jpg?v=9d9b32a1ec-36e977Overview | JEE Chemistry (English)The main ways to make aldehydes and ketones, on one map, for JEE Main and Advanced: PCC and CrO3 oxidation of alcohols, copper at 573 K, reductive ozonolysis, alkyne hydration, the Rosenmund, Stephen, DIBAL-H, Etard and Gattermann–Koch methods for aldehydes, dialkylcadmium, nitrile plus Grignard and Friedel–Crafts acylation for ketones, and two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch4-c1.mp4?v=9d9b32a1ec-36e9774972026-10-22yes https://rankdeterminant.com/v/chem-u17-ch4-c2https://rankdeterminant.com/media/v/chem-u17-ch4-c2.jpg?v=5d062830ea-7b5877Naming and Structure | JEE Chemistry (English)IUPAC naming of aldehydes and ketones for JEE: alkanal and alkanone rules, carbaldehyde for rings, oxo and formyl, common names, the planar and polar sp2 carbonyl group, boiling points and solubility, formalin, and keto-enol tautomerism with the alpha-hydrogen rule. Two solved problems: 3-methylbutanal and 3-methylbutan-2-one, and which carbonyl compounds form an enol.https://rankdeterminant.com/media/v/chem-u17-ch4-c2.mp4?v=5d062830ea-7b58775082026-10-22yes https://rankdeterminant.com/v/chem-u17-ch4-c3https://rankdeterminant.com/media/v/chem-u17-ch4-c3.jpg?v=96930ede87-2f7525Methods Common to Aldehydes and Ketones | JEE Chemistry (English)Methods that make both aldehydes and ketones: oxidation of alcohols with PCC, CrO3 or dichromate, dehydrogenation over copper at 573 K, reductive ozonolysis of alkenes, hydration of alkynes with HgSO4 (Markovnikov), the Wacker process, geminal dihalides and dry distillation of calcium salts, with two solved ozonolysis problems for JEE Main and Advanced.https://rankdeterminant.com/media/v/chem-u17-ch4-c3.mp4?v=96930ede87-2f75255022026-10-22yes https://rankdeterminant.com/v/chem-u17-ch4-c4https://rankdeterminant.com/media/v/chem-u17-ch4-c4.jpg?v=0c407f7339-ae4324Methods for Aldehydes Only | JEE Chemistry (English)Methods that give aldehydes only, for JEE: the Rosenmund reduction over Pd/BaSO4 (and why no methanal), the Stephen reaction and DIBAL-H from nitriles and esters, toluene to benzaldehyde by the Etard reaction, chromic oxide in ethanoic anhydride and side-chain chlorination, the Gattermann-Koch reaction, and two solved problems including ethanol to propanal.https://rankdeterminant.com/media/v/chem-u17-ch4-c4.mp4?v=0c407f7339-ae43245012026-10-22yes https://rankdeterminant.com/v/chem-u17-ch4-c5https://rankdeterminant.com/media/v/chem-u17-ch4-c5.jpg?v=f22b23e80e-8459d2Methods for Ketones Only | JEE Chemistry (English)Three methods that give ketones only: acyl chlorides with a dialkylcadmium (and why a Grignard reagent goes on to the tertiary alcohol), nitriles with a Grignard reagent followed by hydrolysis, and Friedel–Crafts acylation with anhydrous AlCl3 through the acylium ion. Two solved examples: acetophenone from benzene, and from benzoyl chloride with dimethylcadmium.https://rankdeterminant.com/media/v/chem-u17-ch4-c5.mp4?v=f22b23e80e-8459d24402026-10-22yes https://rankdeterminant.com/v/chem-u17-ch4-c7https://rankdeterminant.com/media/v/chem-u17-ch4-c7.jpg?v=a631073ad4-24678bEarlier JEE Main Questions: Structure and Preparation | JEE Chemistry (English)Two earlier JEE Main questions on making aldehydes, solved step by step: why PCC is the most suitable reagent to turn a primary alcohol into an aldehyde, while KMnO4 and K2Cr2O7 go on to the acid and CrO3 needs an anhydrous medium, and how toluene goes to benzoic acid, then benzoyl chloride with SOCl2, and finally benzaldehyde by the Rosenmund reduction.https://rankdeterminant.com/media/v/chem-u17-ch4-c7.mp4?v=a631073ad4-24678b4582026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c1https://rankdeterminant.com/media/v/chem-u17-ch5-c1.jpg?v=02c19b2b54-943fcdNucleophilic Addition | JEE Chemistry (English)Nucleophilic addition to the carbonyl group for JEE: the mechanism from sp2 to sp3, why aldehydes are more reactive than ketones (steric and electronic reasons), the full reactivity order, HCN and cyanohydrins, sodium hydrogensulphite, Grignard reagents, hydrates, and acetals and ketals that protect a carbonyl group, with two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch5-c1.mp4?v=02c19b2b54-943fcd5272026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c2https://rankdeterminant.com/media/v/chem-u17-ch5-c2.jpg?v=0847ac94d6-7ff5b2Reactions with Derivatives of Ammonia | JEE Chemistry (English)How aldehydes and ketones react with derivatives of ammonia, for JEE: addition followed by loss of water to give a C=N compound, the six reagents and their products (Schiff's base, oxime, hydrazone, phenylhydrazone, 2,4-dinitrophenylhydrazone, semicarbazone), why pH about 3.5 is best, the 2,4-DNP test, which NH2 of semicarbazide reacts, geometrical isomers of oximes, and two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch5-c2.mp4?v=0847ac94d6-7ff5b25282026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c3https://rankdeterminant.com/media/v/chem-u17-ch5-c3.jpg?v=256c2ae40c-8cf350Reduction and Oxidation | JEE Chemistry (English)Reduction of aldehydes and ketones to alcohols with NaBH4, LiAlH4 or H2, and down to CH2 by the Clemmensen and Wolff-Kishner reductions; oxidation of aldehydes, why ketones resist, Tollens' silver mirror, Fehling's red-brown precipitate, Benedict's and Schiff's reagents, the haloform reaction, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u17-ch5-c3.mp4?v=256c2ae40c-8cf3505572026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c4https://rankdeterminant.com/media/v/chem-u17-ch5-c4.jpg?v=9043ca740d-664590Reactions of the α-Hydrogen: the Aldol Reaction | JEE Chemistry (English)Why the alpha-hydrogen of aldehydes and ketones is acidic (the resonance-stabilised enolate ion), how the aldol reaction joins the alpha-carbon of one molecule to the carbonyl carbon of another, aldol condensation to alpha,beta-unsaturated compounds, ethanal and propanone, cross aldol with benzaldehyde, the intramolecular aldol, and two solved problems: propanal, and the four aldols from ethanal and propanal.https://rankdeterminant.com/media/v/chem-u17-ch5-c4.mp4?v=9043ca740d-6645905242026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c5https://rankdeterminant.com/media/v/chem-u17-ch5-c5.jpg?v=399b277da7-999d36The Cannizzaro Reaction | JEE Chemistry (English)The Cannizzaro reaction for JEE: why only aldehydes with no alpha-hydrogen react with concentrated alkali, how one molecule becomes the acid salt and another the alcohol, the hydride-transfer mechanism and its slow step, crossed Cannizzaro with methanal, ethanedial, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u17-ch5-c5.mp4?v=399b277da7-999d365302026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c6https://rankdeterminant.com/media/v/chem-u17-ch5-c6.jpg?v=7fc6e4e89a-eb7cbeJEE Advanced Questions (2010–2016): Reactions | JEE Chemistry (English)Two JEE Advanced questions on the reactions of aldehydes and ketones, solved step by step: the 2016 Tollens' test question (why benzaldehyde and benzoin, an alpha-hydroxy ketone, give the silver mirror, why an unsaturated ketone does not, and the Fehling's trap), and the 2012 cyanohydrin question (butan-2-one with cyanide, then hot sulphuric acid, hydrolysis and Saytzeff dehydration).https://rankdeterminant.com/media/v/chem-u17-ch5-c6.mp4?v=7fc6e4e89a-eb7cbe5192026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c7https://rankdeterminant.com/media/v/chem-u17-ch5-c7.jpg?v=05059c5491-1001a8IIT-JEE Questions (1996–2008): Reactions | JEE Chemistry (English)Older IIT-JEE questions on the reactions of aldehydes and ketones, solved and explained: why the alpha-hydrogen decides between the aldol reaction and the Cannizzaro reaction, aldol condensation of ethanal, the crossed Cannizzaro reaction with methanal, the trideuteroethanal trap from 1998, and the 2008 puzzle where benzaldehyde and acetophenone are found by working backwards.https://rankdeterminant.com/media/v/chem-u17-ch5-c7.mp4?v=05059c5491-1001a85312026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c8https://rankdeterminant.com/media/v/chem-u17-ch5-c8.jpg?v=b41fd4dabb-0e6dc3IIT-JEE Questions (1981–1995): Reactions | JEE Chemistry (English)Two classic IIT-JEE questions on aldehydes and ketones, solved step by step: which aldehydes undergo the aldol reaction (and why 2,2-dimethylpropanal does not), and how Fehling's, bisulphite and iodoform tests identify C5H10O as pentan-2-one or 3-methylbutan-2-one. Covers the alpha-hydrogen, aldol condensation, the Cannizzaro reaction, Tollens' reagent and Fehling's solution.https://rankdeterminant.com/media/v/chem-u17-ch5-c8.mp4?v=b41fd4dabb-0e6dc35572026-10-22yes https://rankdeterminant.com/v/chem-u17-ch5-c9https://rankdeterminant.com/media/v/chem-u17-ch5-c9.jpg?v=33a135958c-6bdb18AIEEE Questions: Reactions | JEE Chemistry (English)Two AIEEE questions on the reactions of aldehydes and ketones, solved step by step: the order of HCN addition for methanal, propanone, acetophenone and benzophenone, from crowding and the charge on the carbonyl carbon, and why Wolff–Kishner, not Clemmensen, NaBH4 or sodium in liquid ammonia, turns C=O into CH2 when the molecule also has an OH group and a C=C double bond.https://rankdeterminant.com/media/v/chem-u17-ch5-c9.mp4?v=33a135958c-6bdb185332026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c1https://rankdeterminant.com/media/v/chem-u17-ch6-c1.jpg?v=781d6b55e9-213cb8Overview | JEE Chemistry (English)Preparation and reactions of carboxylic acids on one map for JEE Main and Advanced: oxidation of alcohols and alkylbenzenes, the nitrile and Grignard routes that add one carbon, the haloform reaction, salts and the NaHCO3 test, esters, acid chlorides, amides, LiAlH4 not NaBH4, soda-lime decarboxylation, Kolbe electrolysis, the HVZ reaction, and two solved JEE problems.https://rankdeterminant.com/media/v/chem-u17-ch6-c1.mp4?v=781d6b55e9-213cb84932026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c10https://rankdeterminant.com/media/v/chem-u17-ch6-c10.jpg?v=50d854c65a-c92c34AIEEE and Earlier JEE Main Questions: Acids | JEE Chemistry (English)Two AIEEE questions on the acidity of carboxylic acids, solved step by step: why a lower pKa means a stronger acid, why methanoic acid is stronger than ethanoic acid, how electron-withdrawing groups such as fluorine and electron-releasing alkyl groups change acid strength, and the methoxy trap when you arrange CF3COOH, methoxyethanoic acid, ethanoic acid and 2-methylpropanoic acid.https://rankdeterminant.com/media/v/chem-u17-ch6-c10.mp4?v=50d854c65a-c92c344932026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c2https://rankdeterminant.com/media/v/chem-u17-ch6-c2.jpg?v=9ca38c3ab3-3e6de1Naming, Structure and Physical Properties | JEE Chemistry (English)Carboxylic acids for JEE: IUPAC names ending in -oic acid with the carboxyl carbon as C-1, common names from formic to adipic and phthalic acid, naming acid chlorides, anhydrides, esters and amides, the planar sp2 carboxyl group and why acids give no oxime or 2,4-DNP derivative, hydrogen-bonded cyclic dimers, the boiling point order, solubility, alternating melting points, and two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch6-c2.mp4?v=9ca38c3ab3-3e6de15062026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c3https://rankdeterminant.com/media/v/chem-u17-ch6-c3.jpg?v=efcb18df80-f4badfAcidity | JEE Chemistry (English)Why carboxylic acids are acidic, for JEE: resonance in the carboxylate ion, why they release CO2 from sodium hydrogencarbonate while phenols do not, how electron-withdrawing and electron-releasing groups change the pKa, the number and distance rules, benzoic acid and the ortho effect, with two solved problems on the order of acid strength.https://rankdeterminant.com/media/v/chem-u17-ch6-c3.mp4?v=efcb18df80-f4badf5262026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c4https://rankdeterminant.com/media/v/chem-u17-ch6-c4.jpg?v=205b6f182e-aa13caPreparation of Carboxylic Acids | JEE Chemistry (English)How to prepare carboxylic acids for JEE: oxidation of primary alcohols and aldehydes (KMnO4, acidified dichromate, Jones reagent), side-chain oxidation of alkylbenzenes and why a tert-butyl group survives, the nitrile and Grignard routes that add one carbon, hydrolysis of acid derivatives, the haloform reaction and oxidative cleavage, with two solved problems on choosing the right route.https://rankdeterminant.com/media/v/chem-u17-ch6-c4.mp4?v=205b6f182e-aa13ca4922026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c5https://rankdeterminant.com/media/v/chem-u17-ch6-c5.jpg?v=4e6f7769ce-d47e10Reactions of Carboxylic Acids | JEE Chemistry (English)The main reactions of carboxylic acids for JEE: salts, esterification and its mechanism (acyl-oxygen cleavage and the oxygen-18 label), acid chlorides with thionyl chloride, amides, anhydrides, LiAlH4 versus NaBH4, soda lime decarboxylation, Kolbe electrolysis, the Hell-Volhard-Zelinsky reaction, meta-directing COOH, and two solved problems.https://rankdeterminant.com/media/v/chem-u17-ch6-c5.mp4?v=4e6f7769ce-d47e104962026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c6https://rankdeterminant.com/media/v/chem-u17-ch6-c6.jpg?v=55d80946a3-cd0e31Acid Derivatives | JEE Chemistry (English)Why an acid chloride fumes in moist air while an amide needs hot acid or alkali: nucleophilic acyl substitution, the reactivity order of acid chlorides, anhydrides, esters and amides with its two reasons, reactions of acid chlorides, anhydrides, esters and amides, saponification, the Hoffmann bromamide reaction, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u17-ch6-c6.mp4?v=55d80946a3-cd0e314972026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c7https://rankdeterminant.com/media/v/chem-u17-ch6-c7.jpg?v=5f5c6b5fa7-fad64aJEE Advanced Questions (2012–2016): Acids | JEE Chemistry (English)Two past JEE questions on acids (JEE Advanced 2013 and IIT-JEE 2012), solved step by step: why phenol (carbolic acid) gives no CO2 with sodium hydrogencarbonate while benzoic, benzenesulphonic and salicylic acids do, the acidity order and the ortho effect, and the IIT-JEE 2012 question on separating mixtures by extraction with aqueous NaOH and NaHCO3.https://rankdeterminant.com/media/v/chem-u17-ch6-c7.mp4?v=5f5c6b5fa7-fad64a5142026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c8https://rankdeterminant.com/media/v/chem-u17-ch6-c8.jpg?v=150484765b-da0f73IIT-JEE Questions (1997–2010): Acids | JEE Chemistry (English)Three IIT-JEE questions on carboxylic acids, solved step by step: why benzoic acid is a stronger acid than phenol although the phenoxide ion has more resonance structures, the acidity order of phenol, 4-chlorophenol, benzoic acid and 4-methylbenzoic acid, and a carbon-13 labelled beta-keto acid that loses CO2 on heating and then gives the iodoform test.https://rankdeterminant.com/media/v/chem-u17-ch6-c8.mp4?v=150484765b-da0f735112026-10-22yes https://rankdeterminant.com/v/chem-u17-ch6-c9https://rankdeterminant.com/media/v/chem-u17-ch6-c9.jpg?v=40c55f3ada-53dd37IIT-JEE Questions (1981–1995): Acids | JEE Chemistry (English)HVZ reaction past questions from IIT-JEE 1983 and 1995, solved step by step: why ethanoic acid is halogenated by chlorine and red phosphorus but methanoic acid is not (no alpha-hydrogen), and how propanoic acid gives 2-bromopropanoic acid and then propenoic (acrylic) acid with excess alcoholic KOH, with the substitution or elimination trap.https://rankdeterminant.com/media/v/chem-u17-ch6-c9.mp4?v=40c55f3ada-53dd374652026-10-22yes https://rankdeterminant.com/v/chem-u17-ch7-c1https://rankdeterminant.com/media/v/chem-u17-ch7-c1.jpg?v=b16ffd49c4-c500c7Overview | JEE Chemistry (English)How to use the three timed sets of mixed JEE Main problems on organic compounds containing oxygen: 25 minutes per set, the Lucas test, neutral ferric chloride and sodium bicarbonate, 2,4-DNP, Tollens' and Fehling's tests, the iodoform test and its traps, and two solved problems: why methanoic acid gives a silver mirror, and identifying C9H10O as propiophenone.https://rankdeterminant.com/media/v/chem-u17-ch7-c1.mp4?v=b16ffd49c4-c500c74992026-10-22yes https://rankdeterminant.com/v/chem-u17-ch7-c2https://rankdeterminant.com/media/v/chem-u17-ch7-c2.jpg?v=81025e118d-91add1Set 1 | JEE Chemistry (English)Mixed JEE Main-pattern problems on aldehydes, ketones and acids, solved step by step: which test catches which group (2,4-DNP for any aldehyde or ketone, the Tollens' silver mirror for aldehydes and methanoic acid, iodoform for CH3CO and CH3CH(OH)), finding an aldehyde from the mass of silver it deposits, and identifying C9H10O from three test results and a Clemmensen reduction.https://rankdeterminant.com/media/v/chem-u17-ch7-c2.mp4?v=81025e118d-91add15192026-10-22yes https://rankdeterminant.com/v/chem-u17-ch7-c3https://rankdeterminant.com/media/v/chem-u17-ch7-c3.jpg?v=8227239a7e-90d8faSet 2 | JEE Chemistry (English)Two JEE Main-pattern problems from Set 2, solved step by step: which test tells pentan-2-one from pentan-3-one (the iodoform test), and which alcohol made from pent-1-ene, by oxymercuration or by hydroboration, gives iodoform (pentan-2-ol). Covers the CH3CO- and CH3CH(OH)- groups, the 2,4-DNP and Tollens' traps, and Markovnikov versus anti-Markovnikov addition of water.https://rankdeterminant.com/media/v/chem-u17-ch7-c3.mp4?v=8227239a7e-90d8fa5152026-10-22yes https://rankdeterminant.com/v/chem-u17-ch7-c4https://rankdeterminant.com/media/v/chem-u17-ch7-c4.jpg?v=4d5b9cacac-77ddc1Set 3 | JEE Chemistry (English)Set 3 of mixed JEE Main-pattern problems on organic compounds containing oxygen: NaBH4 reduction and the tertiary alcohol trap, carbonyl reactivity towards nucleophilic addition, iodoform and Tollens' tests, Cannizzaro stoichiometry, soda lime decarboxylation, and two solved problems: ether yield from ethanol, and a carboxylic acid dimerising in benzene.https://rankdeterminant.com/media/v/chem-u17-ch7-c4.mp4?v=4d5b9cacac-77ddc15412026-10-22yes https://rankdeterminant.com/v/chem-u17-ch8-c1https://rankdeterminant.com/media/v/chem-u17-ch8-c1.jpg?v=d0fa137f5b-66386aOverview | JEE Chemistry (English)How to use the unit problem bank on alcohols, phenols, ethers, aldehydes, ketones and carboxylic acids: Part A at JEE Main level, Part B at JEE Advanced level, Part C on the ideas. Find an ester's alcohol from its molar mass, get a molar mass from saponification data, see why methanoic acid gives Tollens' test and why esters boil lower than acids, and spot the optically active alcohol.https://rankdeterminant.com/media/v/chem-u17-ch8-c1.mp4?v=d0fa137f5b-66386a4832026-10-22yes https://rankdeterminant.com/v/chem-u17-ch8-c2https://rankdeterminant.com/media/v/chem-u17-ch8-c2.jpg?v=f1572f168d-406896Part A: JEE Main Level | JEE Chemistry (English)Iodoform test problems at JEE Main level from Part A of the unit problem bank, solved step by step: which compounds respond (CH3CO- or CH3CH(OH)- joined to carbon or hydrogen), why ethanoic acid does not, the haloform reaction and its one-to-one ratio, the mass of iodoform from 1.16 g of propanone (7.88 g), and counting the four C6H12O methyl ketones, with the classic traps.https://rankdeterminant.com/media/v/chem-u17-ch8-c2.mp4?v=f1572f168d-4068964672026-10-22yes https://rankdeterminant.com/v/chem-u17-ch8-c4https://rankdeterminant.com/media/v/chem-u17-ch8-c4.jpg?v=9b105d2295-295252Part C: Concept Checks | JEE Chemistry (English)Quick reasoning checks on organic compounds containing oxygen for JEE: why HX cannot replace the OH of phenol, why benzoic acid dissolves in sodium hydrogencarbonate but phenol does not (pKa values), why aldehydes, ketones and esters boil lower than alcohols and acids, why methanal gives the Cannizzaro and not the aldol reaction, and why a ketone's alpha-hydrogens are more acidic than an ester's.https://rankdeterminant.com/media/v/chem-u17-ch8-c4.mp4?v=9b105d2295-2952524902026-10-22yes https://rankdeterminant.com/v/chem-u18-ch1-c1https://rankdeterminant.com/media/v/chem-u18-ch1-c1.jpg?v=a6a888c431-84aed6Overview | JEE Chemistry (English)Preparation and reactions of primary amines on one map for JEE Main and Advanced: classifying amines, reducing nitro compounds, nitriles and amides, the Hoffmann bromamide degradation, why ammonolysis gives a mixture, the Gabriel phthalimide synthesis, acylation, the carbylamine and Hinsberg tests, nitrous acid and diazonium salts at 273–278 K, and two solved problems including a JEE Main 2021 question.https://rankdeterminant.com/media/v/chem-u18-ch1-c1.mp4?v=a6a888c431-84aed65032026-10-22yes https://rankdeterminant.com/v/chem-u18-ch1-c2https://rankdeterminant.com/media/v/chem-u18-ch1-c2.jpg?v=00d4faee0c-e32b0bClassification and Nomenclature | JEE Chemistry (English)How to classify amines as primary, secondary or tertiary by counting the carbon groups on nitrogen, why 2-methylpropan-2-amine is a primary amine, aliphatic, aromatic and aralkyl amines, common and IUPAC names with the N locant, aniline and the toluidines, the prefix amino, and two solved JEE-style problems including all eight amines of formula C4H11N.https://rankdeterminant.com/media/v/chem-u18-ch1-c2.mp4?v=00d4faee0c-e32b0b4742026-10-22yes https://rankdeterminant.com/v/chem-u18-ch1-c3https://rankdeterminant.com/media/v/chem-u18-ch1-c3.jpg?v=7474975d20-0c12afStructure and Physical Properties | JEE Chemistry (English)Structure and physical properties of amines for JEE: sp3 nitrogen, the pyramidal shape and its bond angles, nitrogen inversion and why an amine with three different groups cannot be resolved, hydrogen bonding and the boiling point order primary > secondary > tertiary, amines versus alcohols, solubility in water, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch1-c3.mp4?v=7474975d20-0c12af5222026-10-22yes https://rankdeterminant.com/v/chem-u18-ch1-c4https://rankdeterminant.com/media/v/chem-u18-ch1-c4.jpg?v=2fd5dc2c0a-98e1c5Formulas, Isomer Counts and Analysis | JEE Chemistry (English)How to find the molecular formula of a saturated amine from its molar mass using CnH2n+3N and 14n+17, the degree of unsaturation formula, why compounds with an odd number of nitrogen atoms have odd molar masses, and how to count isomeric amines class by class (C4H11N has eight), with two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u18-ch1-c4.mp4?v=2fd5dc2c0a-98e1c54922026-10-22yes https://rankdeterminant.com/v/chem-u18-ch1-c5https://rankdeterminant.com/media/v/chem-u18-ch1-c5.jpg?v=3915d1e836-0ab3a3Past JEE Questions: Structure and Properties | JEE Chemistry (English)Two JEE Main questions on amines solved step by step: why primary amines associate more than secondary amines through N–H hydrogen bonds, why tertiary amines boil lowest, basic strength in water and in the gas phase, the Gabriel phthalimide synthesis, primary amines with nitrous acid, and why stored aniline turns coloured by air oxidation.https://rankdeterminant.com/media/v/chem-u18-ch1-c5.mp4?v=3915d1e836-0ab3a35212026-10-22yes https://rankdeterminant.com/v/chem-u18-ch2-c1https://rankdeterminant.com/media/v/chem-u18-ch2-c1.jpg?v=3c02ef992e-58a576Reduction Methods | JEE Chemistry (English)How amines are made by reduction: nitro compounds with Sn/HCl, Fe/HCl, Zn/HCl or hydrogen over Ni, Pd or Pt (six H atoms per nitro group), why industry uses iron scrap, ammonium sulphide for m-dinitrobenzene, nitriles with LiAlH4 (one carbon more than the halide), isocyanides giving secondary amines, amides, oximes and reductive amination, with two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u18-ch2-c1.mp4?v=3c02ef992e-58a5764922026-10-22yes https://rankdeterminant.com/v/chem-u18-ch2-c2https://rankdeterminant.com/media/v/chem-u18-ch2-c2.jpg?v=88467ea164-5b0ac7From Alkyl Halides | JEE Chemistry (English)How amines are made from alkyl halides: ammonolysis with alcoholic ammonia in a sealed tube at 373 K, why it gives a mixture of primary, secondary and tertiary amines and the quaternary salt, how excess ammonia helps, the order RI > RBr > RCl, why aryl halides fail, and the Gabriel phthalimide synthesis for pure primary amines with its limits, plus two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u18-ch2-c2.mp4?v=88467ea164-5b0ac75152026-10-22yes https://rankdeterminant.com/v/chem-u18-ch2-c3https://rankdeterminant.com/media/v/chem-u18-ch2-c3.jpg?v=aaee625701-2d989cThe Hoffmann Bromamide Degradation | JEE Chemistry (English)How the Hoffmann bromamide degradation turns an unsubstituted amide RCONH2, with bromine and NaOH, into a primary amine with one carbon fewer: the balanced equation, the N-bromoamide, anion and isocyanate steps, why only RCONH2 reacts, retention of configuration, choosing an amine route by counting carbons, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u18-ch2-c3.mp4?v=aaee625701-2d989c5052026-10-22yes https://rankdeterminant.com/v/chem-u18-ch2-c4https://rankdeterminant.com/media/v/chem-u18-ch2-c4.jpg?v=f67b4083d5-81cfccJEE Advanced and IIT-JEE Questions: Preparation | JEE Chemistry (English)Past JEE Advanced and IIT-JEE questions on preparing amines, solved step by step: count the carbons to choose the route, the Hoffmann bromamide degradation (intermediates, where the lost carbon goes, which amides react), the Gabriel phthalimide synthesis and its limits, acetamide to methylamine (1983) and the JEE Advanced 2016 diamide to alanine problem.https://rankdeterminant.com/media/v/chem-u18-ch2-c4.mp4?v=f67b4083d5-81cfcc5232026-10-22yes https://rankdeterminant.com/v/chem-u18-ch2-c5https://rankdeterminant.com/media/v/chem-u18-ch2-c5.jpg?v=8911d1bc0f-776052AIEEE and Earlier JEE Main Questions: Preparation | JEE Chemistry (English)Two past JEE Main questions on preparing amines, solved step by step: why the Hoffmann bromamide degradation uses four moles of NaOH and one mole of bromine per mole of amine, how the lost carbon leaves as carbonate, the acid to ammonium salt to amide chain, and how to work backwards from ethanamine by counting carbons.https://rankdeterminant.com/media/v/chem-u18-ch2-c5.mp4?v=8911d1bc0f-7760525062026-10-22yes https://rankdeterminant.com/v/chem-u18-ch3-c1https://rankdeterminant.com/media/v/chem-u18-ch3-c1.jpg?v=a93919b8c7-651b98Aliphatic Amines | JEE Chemistry (English)Why trimethylamine is the strongest methylamine base in the gas phase but the weakest in water: Kb and pKb, pKa = 14 - pKb for the conjugate acid, the +I effect of alkyl groups, hydrogen bonding and crowding in water, the methyl and ethyl series orders, and two solved JEE-style problems with the classic trap.https://rankdeterminant.com/media/v/chem-u18-ch3-c1.mp4?v=a93919b8c7-651b984932026-10-22yes https://rankdeterminant.com/v/chem-u18-ch3-c2https://rankdeterminant.com/media/v/chem-u18-ch3-c2.jpg?v=1c23eac99c-684959Aromatic Amines and Other Nitrogen Bases | JEE Chemistry (English)Why aniline is a weak base (resonance of the lone pair), how electron-releasing and electron-withdrawing groups change basic strength, the nitro group at ortho, meta and para, the ortho effect, benzylamine, amides, sp3 > sp2 > sp nitrogen, pyridine versus pyrrole and guanidine, with two solved ordering problems.https://rankdeterminant.com/media/v/chem-u18-ch3-c2.mp4?v=1c23eac99c-6849595122026-10-22yes https://rankdeterminant.com/v/chem-u18-ch3-c3https://rankdeterminant.com/media/v/chem-u18-ch3-c3.jpg?v=33164ab197-ce2e68Basicity Calculations and Separations | JEE Chemistry (English)How to find the pH of an amine solution from Kb with the square root shortcut, when the degree of ionisation is too large and you must solve the quadratic, the pH of an amine salt with Ka = Kw/Kb, amine buffers and half protonation at pH = pKa, and how a stronger base sets an amine free from its salt to separate it. Two solved JEE-style problems on aniline and dimethylamine.https://rankdeterminant.com/media/v/chem-u18-ch3-c3.mp4?v=33164ab197-ce2e684682026-10-22yes https://rankdeterminant.com/v/chem-u18-ch3-c4https://rankdeterminant.com/media/v/chem-u18-ch3-c4.jpg?v=73209e3ab5-37f2dcJEE Advanced and IIT-JEE Questions: Basicity | JEE Chemistry (English)Past JEE Advanced and IIT-JEE questions on the basic strength of amines, solved step by step: lone pair availability and cation stabilisation, why dimethylamine beats trimethylamine in water, why aniline is a weak base, the anilinium structure trap (1993), nitro groups on the ring, benzylamine versus aniline (2000) and the amidine, amine and amide order (2001).https://rankdeterminant.com/media/v/chem-u18-ch3-c4.mp4?v=73209e3ab5-37f2dc4902026-10-22yes https://rankdeterminant.com/v/chem-u18-ch3-c5https://rankdeterminant.com/media/v/chem-u18-ch3-c5.jpg?v=a91790640b-97a035JEE Main and AIEEE Questions: Basicity | JEE Chemistry (English)Two past JEE Main questions on the basic strength of amines, solved step by step: why the smallest pKb means the strongest base, the methyl and ethyl orders in water versus the gas phase, why aniline and N-methylpyrrole are weak, and why the cage amine quinuclidine beats both triethylamine and diethylamine.https://rankdeterminant.com/media/v/chem-u18-ch3-c5.mp4?v=a91790640b-97a0355102026-10-22yes https://rankdeterminant.com/v/chem-u18-ch4-c1https://rankdeterminant.com/media/v/chem-u18-ch4-c1.jpg?v=b3ba978bec-8f95b5Alkylation and Acylation | JEE Chemistry (English)Why primary and secondary amines are acylated but tertiary amines are not: alkylation up to the quaternary ammonium salt, acylation with acid chlorides, anhydrides and esters, why pyridine or NaOH is added, acetylation and the +42 molar mass rule, benzoylation of aniline to benzanilide, Schiff's bases, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch4-c1.mp4?v=b3ba978bec-8f95b55072026-10-22yes https://rankdeterminant.com/v/chem-u18-ch4-c2https://rankdeterminant.com/media/v/chem-u18-ch4-c2.jpg?v=88ea1b3edd-7548ffCarbylamine Reaction and Nitrous Acid | JEE Chemistry (English)The carbylamine (isocyanide) test for primary amines with chloroform and alcoholic KOH, and how amines react with nitrous acid: alcohol and nitrogen gas from primary aliphatic amines, a stable diazonium salt from aniline at 273 to 278 K, yellow N-nitrosoamines, nitrite salts and para nitrosation, with two solved problems including a molar mass from the volume of nitrogen.https://rankdeterminant.com/media/v/chem-u18-ch4-c2.mp4?v=88ea1b3edd-7548ff5212026-10-22yes https://rankdeterminant.com/v/chem-u18-ch4-c3https://rankdeterminant.com/media/v/chem-u18-ch4-c3.jpg?v=5b38f95d6a-30b6cdHinsberg's Test | JEE Chemistry (English)Hinsberg's test with benzenesulphonyl chloride and aqueous KOH, step by step: why the sulphonamide of a primary amine dissolves in alkali, why the secondary one does not, why tertiary amines do not react, what you see in the test tube, a quick trick of counting the H on nitrogen, and how to separate a mixture of three amines. Two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch4-c3.mp4?v=5b38f95d6a-30b6cd4902026-10-22yes https://rankdeterminant.com/v/chem-u18-ch4-c4https://rankdeterminant.com/media/v/chem-u18-ch4-c4.jpg?v=5c1511962e-bc3bf4Ring Substitution in Aniline | JEE Chemistry (English)Why the amino group makes the ring of aniline so reactive: bromine water gives a white precipitate of 2,4,6-tribromoaniline, acetylation controls the reaction for p-bromoaniline and p-nitroaniline, direct nitration gives 47% meta product through the anilinium ion, sulphanilic acid is a zwitterion, and aniline gives no Friedel–Crafts reaction. Two solved problems.https://rankdeterminant.com/media/v/chem-u18-ch4-c4.mp4?v=5c1511962e-bc3bf45252026-10-22yes https://rankdeterminant.com/v/chem-u18-ch4-c5https://rankdeterminant.com/media/v/chem-u18-ch4-c5.jpg?v=86c684a32f-1889b4The Hoffmann Elimination | JEE Chemistry (English)Hoffmann elimination step by step: exhaustive methylation with excess iodomethane, moist silver oxide, then heat; how many moles of CH3I a primary, secondary or tertiary amine takes; why the bulky trimethylamine leaving group gives the less substituted alkene, the opposite of Saytzeff's rule; what happens with no beta hydrogen; and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch4-c5.mp4?v=86c684a32f-1889b44952026-10-22yes https://rankdeterminant.com/v/chem-u18-ch4-c6https://rankdeterminant.com/media/v/chem-u18-ch4-c6.jpg?v=e743a31062-c97523JEE Advanced and IIT-JEE Questions (2001–2014): Reactions | JEE Chemistry (English)Past IIT-JEE and JEE Advanced questions (2001 to 2014) on the reactions of amines, solved step by step: which nitrogen gets acetylated, the carbylamine test giving methyl isocyanide, why aniline is less reactive in strong acid, and an optically active amine whose carbocation rearranges by a hydride shift with nitrous acid.https://rankdeterminant.com/media/v/chem-u18-ch4-c6.mp4?v=e743a31062-c975235362026-10-22yes https://rankdeterminant.com/v/chem-u18-ch4-c7https://rankdeterminant.com/media/v/chem-u18-ch4-c7.jpg?v=40ea5e6933-95ad0bIIT-JEE Questions (1981–1999): Reactions | JEE Chemistry (English)Older IIT-JEE questions on the reactions of amines, solved step by step: the carbylamine test for primary amines, nitrous acid with primary and secondary amines (one mole of nitrogen per mole of a primary aliphatic amine), Hinsberg's test with benzenesulphonyl chloride, and two 1993 problems that identify an amine C3H9N: N-methylethanamine and propan-2-amine.https://rankdeterminant.com/media/v/chem-u18-ch4-c7.mp4?v=40ea5e6933-95ad0b5042026-10-22yes https://rankdeterminant.com/v/chem-u18-ch4-c8https://rankdeterminant.com/media/v/chem-u18-ch4-c8.jpg?v=4f5e6f0047-7ac89aAIEEE and Earlier JEE Main Questions: Reactions | JEE Chemistry (English)Four AIEEE and early JEE Main questions on the reactions of amines, solved step by step: the carbylamine (isocyanide) test with chloroform and alcoholic KOH, why the product is an isocyanide and not a cyanide, p-toluidine, the AIEEE 2007 equation with A and B, and the JEE Main 2013 problem where acetylation raises the molar mass by 42 per amino group.https://rankdeterminant.com/media/v/chem-u18-ch4-c8.mp4?v=4f5e6f0047-7ac89a4792026-10-22yes https://rankdeterminant.com/v/chem-u18-ch5-c1https://rankdeterminant.com/media/v/chem-u18-ch5-c1.jpg?v=01c7804a93-d4bf78Overview | JEE Chemistry (English)The complete map of benzenediazonium chloride: diazotisation of aniline at 273–278 K and why the salt is used at once, the Sandmeyer and Gattermann reactions, iodobenzene with KI, Balz–Schiemann fluorination, phenol with warm water, reduction with H3PO2 or ethanol, the nitro route, and azo coupling with phenol and aniline, with two solved JEE-style problems and the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch5-c1.mp4?v=01c7804a93-d4bf785302026-10-22yes https://rankdeterminant.com/v/chem-u18-ch5-c2https://rankdeterminant.com/media/v/chem-u18-ch5-c2.jpg?v=0d4f826c58-de5f03Diazotisation | JEE Chemistry (English)How a primary aromatic amine becomes a diazonium salt with sodium nitrite and HCl at 273 to 278 K: why two HCl, the nitrosonium ion NO+, the three-step mechanism, why aryl diazonium ions are stabilised by resonance while alkyl ones lose nitrogen at once, the fluoroborate, ring-substituent effects, and two solved problems.https://rankdeterminant.com/media/v/chem-u18-ch5-c2.mp4?v=0d4f826c58-de5f034922026-10-22yes https://rankdeterminant.com/v/chem-u18-ch5-c3https://rankdeterminant.com/media/v/chem-u18-ch5-c3.jpg?v=aa95297421-cb49b2Replacement of the Diazonium Group | JEE Chemistry (English)How the diazonium group of an arenediazonium salt is replaced: Sandmeyer for chloro, bromo and cyano compounds, Gattermann for chloro and bromo compounds, KI for iodides, Balz–Schiemann for fluorides, warm water for phenols, H3PO2 or ethanol for hydrogen, SnCl2 that keeps the nitrogen, and the amino group used as a removable director, with two solved problems.https://rankdeterminant.com/media/v/chem-u18-ch5-c3.mp4?v=aa95297421-cb49b25152026-10-22yes https://rankdeterminant.com/v/chem-u18-ch5-c4https://rankdeterminant.com/media/v/chem-u18-ch5-c4.jpg?v=7ebf906e57-c0ed6bCoupling Reactions | JEE Chemistry (English)How benzenediazonium chloride couples with phenol and aniline to give coloured azo compounds: why the diazonium ion is a weak electrophile, para attack and ortho when para is blocked, pH 9–10 for phenol and pH 4–5 for aniline, the 2-naphthol azo dye test, why azo dyes are coloured, methyl orange, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch5-c4.mp4?v=7ebf906e57-c0ed6b5062026-10-22yes https://rankdeterminant.com/v/chem-u18-ch5-c5https://rankdeterminant.com/media/v/chem-u18-ch5-c5.jpg?v=c5a1df4856-cdc844JEE Advanced and IIT-JEE Questions (2000–2016): Diazonium Salts | JEE Chemistry (English)JEE Advanced and IIT-JEE questions (2000–2016) on diazonium salts, solved step by step: diazotisation of primary aromatic amines at 273–278 K, Sandmeyer and Gattermann replacement, coupling with 2-naphthol at C-1 to an orange-red azo dye, why benzylamine fails the azo dye test, and the 2016 five-reagent route from aniline to 1,4-dibromobenzene.https://rankdeterminant.com/media/v/chem-u18-ch5-c5.mp4?v=c5a1df4856-cdc8445142026-10-22yes https://rankdeterminant.com/v/chem-u18-ch5-c6https://rankdeterminant.com/media/v/chem-u18-ch5-c6.jpg?v=410d79b211-ea6f97IIT-JEE Questions (1990–1999): Diazonium Salts | JEE Chemistry (English)Older IIT-JEE questions (1990 to 1999) on diazonium salts, solved step by step: diazotisation at 273–278 K, Sandmeyer swaps with CuBr and CuCN, coupling with phenol and with anisole, the trick of using an amino group to direct and then removing it with H3PO2, and two conversions: nitrobenzene to benzamide, and 4-nitroaniline to 1,2,3-tribromobenzene.https://rankdeterminant.com/media/v/chem-u18-ch5-c6.mp4?v=410d79b211-ea6f974732026-10-22yes https://rankdeterminant.com/v/chem-u18-ch5-c7https://rankdeterminant.com/media/v/chem-u18-ch5-c7.jpg?v=af19056645-ee8b24AIEEE and Earlier JEE Main Questions: Diazonium Salts | JEE Chemistry (English)Two past questions on diazonium salts from AIEEE 2010 and JEE Main 2015, solved step by step: diazotisation of aniline and 4-methylaniline with NaNO2/HCl at 273–278 K (0–5 °C), the Balz–Schiemann route to fluorobenzene through the fluoroborate, the Sandmeyer reaction with CuCN/KCN to give 4-methylbenzonitrile, and the traps on where the nitrogen goes.https://rankdeterminant.com/media/v/chem-u18-ch5-c7.mp4?v=af19056645-ee8b244792026-10-22yes https://rankdeterminant.com/v/chem-u18-ch6-c1https://rankdeterminant.com/media/v/chem-u18-ch6-c1.jpg?v=627efa37b7-9d1b2cNitro Compounds | JEE Chemistry (English)Nitro compounds for JEE: the nitro group as a resonance hybrid, nitroalkanes versus alkyl nitrites from AgNO2 and KNO2 (the ambident nitrite ion), nitration, acidic alpha-hydrogens and solubility in NaOH, reduction of nitrobenzene in acidic, neutral and alkaline media and with LiAlH4, the meta-directing effect, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch6-c1.mp4?v=627efa37b7-9d1b2c5062026-10-22yes https://rankdeterminant.com/v/chem-u18-ch6-c2https://rankdeterminant.com/media/v/chem-u18-ch6-c2.jpg?v=cf33fcb40e-e9afc0Cyanides and Isocyanides | JEE Chemistry (English)Cyanides (nitriles) and isocyanides for JEE: naming with the CN carbon counted, preparation from alkyl halides with KCN or AgCN and why they differ, dehydration of amides and aldoximes, acid and alkaline hydrolysis, reduction to primary and secondary amines, the Stephen reaction, ketones from Grignard reagents, and ethanol to propanoic acid solved step by step.https://rankdeterminant.com/media/v/chem-u18-ch6-c2.mp4?v=cf33fcb40e-e9afc05152026-10-22yes https://rankdeterminant.com/v/chem-u18-ch6-c3https://rankdeterminant.com/media/v/chem-u18-ch6-c3.jpg?v=cc2cd3e771-50d9d4Amides and Urea | JEE Chemistry (English)Amides and urea for JEE Main and Class 12: why amides are practically neutral and high-melting, acid and alkaline hydrolysis, the ammonia test for amides, P2O5, LiAlH4, the Hofmann bromamide reaction (one carbon fewer) and nitrous acid, then urea's 46.7% nitrogen, biuret test and reactions, with two solved problems including the gas volume from urea and nitrous acid.https://rankdeterminant.com/media/v/chem-u18-ch6-c3.mp4?v=cc2cd3e771-50d9d45242026-10-22yes https://rankdeterminant.com/v/chem-u18-ch6-c4https://rankdeterminant.com/media/v/chem-u18-ch6-c4.jpg?v=4d73d0c864-dfbfdbConversions Through Nitrogen Compounds | JEE Chemistry (English)Conversions through nitrogen compounds for JEE: count the carbons first, KCN then LiAlH4 for one carbon more, LiAlH4 on an amide or the Gabriel synthesis for the same number, the Hofmann bromamide reaction for one carbon fewer, nitro to amine to diazonium on a benzene ring, the isocyanide route to N-methyl amines, and two solved conversions with the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch6-c4.mp4?v=4d73d0c864-dfbfdb5032026-10-22yes https://rankdeterminant.com/v/chem-u18-ch6-c5https://rankdeterminant.com/media/v/chem-u18-ch6-c5.jpg?v=4b683494e8-f282b1IIT-JEE Questions (1997–2009) | JEE Chemistry (English)IIT-JEE questions from 1997 to 2009 on nitro compounds, cyanides and amides, solved step by step: why nitrobenzene does no Friedel–Crafts alkylation, why nitrosobenzene nitrates ortho and para, why chlorobenzene and KCN give no benzonitrile, how a para nitro group lets a nucleophile replace fluorine, benzamide with POCl3, and the benzyl chloride to N-methyl amide sequence.https://rankdeterminant.com/media/v/chem-u18-ch6-c5.mp4?v=4b683494e8-f282b15262026-10-22yes https://rankdeterminant.com/v/chem-u18-ch6-c6https://rankdeterminant.com/media/v/chem-u18-ch6-c6.jpg?v=49a5039343-141b1dIIT-JEE Questions (1986–1994) | JEE Chemistry (English)Older IIT-JEE questions (1986 to 1994) on nitro compounds, cyanides and amides, solved step by step: which halide gives butanenitrile with KCN, benzamide with P2O5, silver nitrite with bromoethane, why nitrobenzene brominates at meta, the right order of steps on a benzene ring, and propanamide identified from percentage composition.https://rankdeterminant.com/media/v/chem-u18-ch6-c6.mp4?v=49a5039343-141b1d5012026-10-22yes https://rankdeterminant.com/v/chem-u18-ch6-c7https://rankdeterminant.com/media/v/chem-u18-ch6-c7.jpg?v=19fdfd2df5-cf62f0AIEEE and JEE Main Questions | JEE Chemistry (English)Four past JEE Main and AIEEE questions on nitriles, isocyanides and urea, solved step by step: benzonitrile with methylmagnesium bromide gives acetophenone, so the iodoform test; ethyl isocyanide in acid gives an ethylamine salt and methanoic acid; the Bhopal gas, methyl isocyanate; and urea identified from its percentage composition and the biuret test.https://rankdeterminant.com/media/v/chem-u18-ch6-c7.mp4?v=19fdfd2df5-cf62f05102026-10-22yes https://rankdeterminant.com/v/chem-u18-ch7-c1https://rankdeterminant.com/media/v/chem-u18-ch7-c1.jpg?v=8a0f029081-220503Overview | JEE Chemistry (English)How to use the three timed sets of mixed JEE Main problems on organic compounds containing nitrogen: 25 minutes per set, classifying amines, the carbylamine and Hinsberg's tests, counting carbons in nitrile, Hoffmann bromamide and Gabriel routes, diazotisation at 273-278 K, and two solved problems: which amines the Gabriel synthesis can make, and the nitrogen and phenol from 4-methylaniline.https://rankdeterminant.com/media/v/chem-u18-ch7-c1.mp4?v=8a0f029081-2205034982026-10-22yes https://rankdeterminant.com/v/chem-u18-ch7-c2https://rankdeterminant.com/media/v/chem-u18-ch7-c2.jpg?v=7182476378-964c7eSet 1 | JEE Chemistry (English)Mixed JEE Main-pattern problems on amines: count the carbons in the nitrile route and the Hoffmann bromamide reaction, which amines the Gabriel phthalimide synthesis can make, which give the carbylamine test, the pKa of the conjugate acid of ethanamine from its pKb, and the mass of N-nitrosodimethylamine from dimethylamine and nitrous acid.https://rankdeterminant.com/media/v/chem-u18-ch7-c2.mp4?v=7182476378-964c7e4922026-10-22yes https://rankdeterminant.com/v/chem-u18-ch7-c3https://rankdeterminant.com/media/v/chem-u18-ch7-c3.jpg?v=d109955a43-615b7bSet 2 | JEE Chemistry (English)Two JEE Main-pattern problems from Set 2 on amines, solved step by step: the mass of ethanamine from 7.5 g of nitroethane (4.5 g), and the product of acetylating, nitrating and hydrolysing aniline (4-nitroaniline, 138 g/mol). Covers which reducing medium gives an amine, why direct nitration of aniline gives tar and 47% meta product through the anilinium ion, and how acetylation controls the ring.https://rankdeterminant.com/media/v/chem-u18-ch7-c3.mp4?v=d109955a43-615b7b5132026-10-22yes https://rankdeterminant.com/v/chem-u18-ch7-c4https://rankdeterminant.com/media/v/chem-u18-ch7-c4.jpg?v=76b99c366c-8efc49Set 3 | JEE Chemistry (English)Set 3 of the mixed JEE Main-pattern problems on organic compounds containing nitrogen: the Hoffmann bromamide reaction (one carbon fewer), which amines cannot hydrogen bond, the pKb order of aniline and N-alkylanilines, bromine water with 4-nitroaniline, which C3H9N amines give nitrogen with nitrous acid, and the pH of an ethanamine solution.https://rankdeterminant.com/media/v/chem-u18-ch7-c4.mp4?v=76b99c366c-8efc494942026-10-22yes https://rankdeterminant.com/v/chem-u18-ch8-c1https://rankdeterminant.com/media/v/chem-u18-ch8-c1.jpg?v=be61145f31-eed5b2Overview | JEE Chemistry (English)How to use the unit problem bank on organic compounds containing nitrogen: Part A at JEE Main level, Part B at JEE Advanced level, Part C on the ideas. See why the Hoffmann bromamide reaction gives one carbon fewer, find the mass of aniline from benzamide at 90% yield, and identify an amide and amine from nitrous acid clues, including the rearrangement trap.https://rankdeterminant.com/media/v/chem-u18-ch8-c1.mp4?v=be61145f31-eed5b25032026-10-22yes https://rankdeterminant.com/v/chem-u18-ch8-c2https://rankdeterminant.com/media/v/chem-u18-ch8-c2.jpg?v=c5f0b6c550-c112cbPart A: JEE Main Level | JEE Chemistry (English)Amines problems at JEE Main level from Part A of the unit problem bank, solved step by step: the carbylamine reaction (primary amines only, one to one, one carbon more), the Hoffmann bromamide reaction (only RCONH2, one carbon fewer, lost as carbonate), the mass of ethyl isocyanide from 0.90 g of ethanamine (1.10 g) and of aniline from 6.05 g of benzamide in 90% yield (4.19 g), with the classic traps.https://rankdeterminant.com/media/v/chem-u18-ch8-c2.mp4?v=c5f0b6c550-c112cb4952026-10-22yes https://rankdeterminant.com/v/chem-u18-ch8-c4https://rankdeterminant.com/media/v/chem-u18-ch8-c4.jpg?v=e612e51773-93a5b0Part C: Concept Checks | JEE Chemistry (English)Short reasoning checks on amines for JEE Chemistry: why amines are stronger bases than alcohols and ethers, why primary amines boil higher than tertiary isomers, why the Gabriel synthesis cannot make aniline, why the Hoffmann bromamide reaction loses a carbon, why diazotisation uses excess acid, why secondary amines fail the carbylamine test, and why a sulphonyl chloride sorts all three classes.https://rankdeterminant.com/media/v/chem-u18-ch8-c4.mp4?v=e612e51773-93a5b05202026-10-22yes https://rankdeterminant.com/v/chem-u19-ch1-c1https://rankdeterminant.com/media/v/chem-u19-ch1-c1.jpg?v=dd471a3b38-41dd47Classification of Carbohydrates | JEE Chemistry (English)Classification of carbohydrates made simple: why the formula Cx(H2O)y is not a test, monosaccharides, oligosaccharides and polysaccharides, aldoses and ketoses (aldohexose, ketohexose), sugars and non-sugars, reducing and non-reducing sugars, and two solved problems, including the molar mass of a disaccharide.https://rankdeterminant.com/media/v/chem-u19-ch1-c1.mp4?v=dd471a3b38-41dd475312026-10-27yes https://rankdeterminant.com/v/chem-u19-ch1-c2https://rankdeterminant.com/media/v/chem-u19-ch1-c2.jpg?v=42dbf14c55-24022dGlucose: Preparation and Open-Chain Structure | JEE Chemistry (English)How glucose is made from sucrose and from starch, and how five simple reactions prove its open-chain structure: n-hexane with HI, the oxime and the cyanohydrin, gluconic acid with bromine water, the pentaacetate, and saccharic acid with nitric acid. Then D and L versus (+) and (-), and two solved problems on starch and acetylation, with the common traps.https://rankdeterminant.com/media/v/chem-u19-ch1-c2.mp4?v=42dbf14c55-24022d5402026-10-27yes https://rankdeterminant.com/v/chem-u19-ch1-c3https://rankdeterminant.com/media/v/chem-u19-ch1-c3.jpg?v=66659cf326-6a7194Cyclic Structure, Anomers and Mutarotation | JEE Chemistry (English)Why the open-chain structure of glucose is not enough: no Schiff's test, no bisulphite product, a pentaacetate that forms no oxime, and two crystalline forms. The cyclic hemiacetal ring, the anomeric carbon, alpha and beta anomers in Haworth structures, pyranose and furanose, mutarotation to +52.5°, why glucose still reduces Tollens' reagent, and two solved problems: asymmetric carbons and the 36% alpha, 64% beta mixture.https://rankdeterminant.com/media/v/chem-u19-ch1-c3.mp4?v=66659cf326-6a71945312026-10-27yes https://rankdeterminant.com/v/chem-u19-ch1-c4https://rankdeterminant.com/media/v/chem-u19-ch1-c4.jpg?v=621e89e902-d313a6Fructose | JEE Chemistry (English)Fructose for JEE: why it is a ketohexose with its keto group at C-2, what D-(−)-fructose and laevulose mean, the five-membered furanose ring with anomeric carbon C-2, its reactions with HCN, hydroxylamine, HI and bromine water, and why this ketone still reduces Tollens' and Fehling's reagents through an enediol. Two solved problems: asymmetric carbons, and what glucose, mannose and fructose share.https://rankdeterminant.com/media/v/chem-u19-ch1-c4.mp4?v=621e89e902-d313a65232026-10-27yes https://rankdeterminant.com/v/chem-u19-ch1-c5https://rankdeterminant.com/media/v/chem-u19-ch1-c5.jpg?v=fb3ead8a49-72d114Working Problems on Glucose and Fructose | JEE Chemistry (English)Working problems on glucose and fructose for JEE: which test tells the two sugars apart, how many moles of HCN, hydroxylamine and ethanoic anhydride react with one mole of glucose, why it gives 2 mol of silver but 1 mol of Cu2O, the molar masses 180, 196, 210, 182 and 390, and observed rotation = specific rotation × l × c. Two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u19-ch1-c5.mp4?v=fb3ead8a49-72d1145182026-10-27yes https://rankdeterminant.com/v/chem-u19-ch1-c6https://rankdeterminant.com/media/v/chem-u19-ch1-c6.jpg?v=80e3a9eb8e-12a147JEE Advanced and IIT-JEE Questions: Monosaccharides | JEE Chemistry (English)Past JEE Advanced and IIT-JEE questions on glucose and fructose, solved step by step: reading D and L from a Fischer projection, why the sign of rotation is separate from D or L, L-glucose as the mirror image of D-glucose, the anomeric carbon and anomers, why Fehling's solution gives Cu2O, why fructose reduces Tollens' reagent, and counting the stereoisomers of a pyranose ring.https://rankdeterminant.com/media/v/chem-u19-ch1-c6.mp4?v=80e3a9eb8e-12a1475262026-10-27yes https://rankdeterminant.com/v/chem-u19-ch1-c7https://rankdeterminant.com/media/v/chem-u19-ch1-c7.jpg?v=379a918225-77a3e3AIEEE and Earlier JEE Main Questions: Monosaccharides | JEE Chemistry (English)Two AIEEE questions on monosaccharides, solved step by step: which two functional groups a typical carbohydrate has (a carbonyl group and hydroxyl groups, since a ketose like fructose has no CHO group), why the formula Cx(H2O)y is not a test, and what the anomers of glucose are: isomers that differ only at C-1, the anomeric carbon. With the mirror-image trap, the alpha and beta forms and their properties.https://rankdeterminant.com/media/v/chem-u19-ch1-c7.mp4?v=379a918225-77a3e35272026-10-27yes https://rankdeterminant.com/v/chem-u19-ch2-c1https://rankdeterminant.com/media/v/chem-u19-ch2-c1.jpg?v=920853c470-970d71Disaccharides | JEE Chemistry (English)Disaccharides for JEE chemistry: how the glycosidic linkage forms with loss of water, why sucrose, maltose and lactose all have the formula C12H22O11 and molar mass 342, which carbons are joined (C-1 to C-2 in sucrose, C-1 to C-4 in maltose and lactose), and why sucrose is non-reducing while maltose and lactose are reducing. Two solved problems: glucose from hydrolysis, and maltose with bromine water.https://rankdeterminant.com/media/v/chem-u19-ch2-c1.mp4?v=920853c470-970d714952026-10-27yes https://rankdeterminant.com/v/chem-u19-ch2-c2https://rankdeterminant.com/media/v/chem-u19-ch2-c2.jpg?v=ed354e74cd-cc1d90Sucrose and Invert Sugar | JEE Chemistry (English)Why the hydrolysis of cane sugar is called inversion: sucrose (+66.5°) gives D-(+)-glucose (+52.5°) and D-(−)-fructose (−92.4°), and fructose wins, so the mixture turns laevorotatory. The specific rotation of invert sugar (about −20°), honey and sweetness, Fehling's and bromine water, the maltose trap, and two solved problems: the mass of invert sugar and the 77% zero-rotation point.https://rankdeterminant.com/media/v/chem-u19-ch2-c2.mp4?v=ed354e74cd-cc1d904872026-10-27yes https://rankdeterminant.com/v/chem-u19-ch2-c3https://rankdeterminant.com/media/v/chem-u19-ch2-c3.jpg?v=82f82eebf6-b30b4dPolysaccharides | JEE Chemistry (English)Starch, cellulose and glycogen for JEE: why all three are polymers of D-glucose and still non-reducing, amylose versus amylopectin (15–20% and 80–85%, C-1 to C-4 and C-1 to C-6 links), the alpha versus beta linkage that explains why humans digest starch but not cellulose, glycogen as animal starch, and two solved problems: glucose units in amylose and the mass of maltose from starch.https://rankdeterminant.com/media/v/chem-u19-ch2-c3.mp4?v=82f82eebf6-b30b4d4932026-10-27yes https://rankdeterminant.com/v/chem-u19-ch2-c4https://rankdeterminant.com/media/v/chem-u19-ch2-c4.jpg?v=4f2fde75e2-b111cbTests and Importance of Carbohydrates | JEE Chemistry (English)Tests for carbohydrates explained: Molisch's violet ring for all carbohydrates, Tollens' and Fehling's tests for reducing sugars, Barfoed's test for monosaccharides, Seliwanoff's test for ketoses and the iodine test for starch, why sucrose fails Fehling's, the importance of carbohydrates, and two solved JEE-style identification problems.https://rankdeterminant.com/media/v/chem-u19-ch2-c4.mp4?v=4f2fde75e2-b111cb4932026-10-27yes https://rankdeterminant.com/v/chem-u19-ch2-c5https://rankdeterminant.com/media/v/chem-u19-ch2-c5.jpg?v=dec0ced844-cfcd49JEE Advanced and IIT-JEE Questions: Di- and Polysaccharides | JEE Chemistry (English)Past JEE Advanced and IIT-JEE questions on disaccharides and polysaccharides, solved step by step: the glycosidic linkage, why sucrose is non-reducing while maltose and lactose reduce Tollens' reagent, D and L versus (+) and (−), bromine water versus nitric acid, the products of hydrolysis of sucrose, and the JEE Advanced 2016 invert sugar question with its −20° trap.https://rankdeterminant.com/media/v/chem-u19-ch2-c5.mp4?v=dec0ced844-cfcd495062026-10-27yes https://rankdeterminant.com/v/chem-u19-ch2-c6https://rankdeterminant.com/media/v/chem-u19-ch2-c6.jpg?v=f451328413-8eb5e5AIEEE Questions: Di- and Polysaccharides | JEE Chemistry (English)Two AIEEE questions on disaccharides and polysaccharides, solved step by step: what Molisch's test detects (a violet ring with all carbohydrates, reducing or not, so sugars, not alcohols, amines or nitro compounds), and what complete hydrolysis of cellulose gives (D-glucose, not L-glucose, D-fructose or D-ribose). With the beta linkage of cellulose, the D and L labels, and the classic traps.https://rankdeterminant.com/media/v/chem-u19-ch2-c6.mp4?v=f451328413-8eb5e55132026-10-27yes https://rankdeterminant.com/v/chem-u19-ch3-c1https://rankdeterminant.com/media/v/chem-u19-ch3-c1.jpg?v=06f66d6411-66f21eThe α-Amino Acids | JEE Chemistry (English)Alpha amino acids for JEE chemistry: the general formula H2N-CHR-COOH and why they are called alpha, side chains with three-letter and one-letter codes, how to classify them as neutral, acidic or basic (and why asparagine is neutral), the ten essential amino acids, and what is special about glycine, proline, cysteine and tyrosine. Two solved problems: classifying seven amino acids and counting asymmetric carbons.https://rankdeterminant.com/media/v/chem-u19-ch3-c1.mp4?v=06f66d6411-66f21e5212026-10-28yes https://rankdeterminant.com/v/chem-u19-ch3-c2https://rankdeterminant.com/media/v/chem-u19-ch3-c2.jpg?v=c7aca1bada-b31e60Zwitterions and the Isoelectric Point | JEE Chemistry (English)Why amino acids behave like salts: the zwitterion (dipolar ion), its acidic NH3+ and basic COO- groups, the isoelectric point (pI) where an amino acid has no net charge and does not move in an electric field, cation to the cathode below the pI and anion to the anode above it, the pI from pKa values, and two solved problems: glycine and aspartic acid.https://rankdeterminant.com/media/v/chem-u19-ch3-c2.mp4?v=c7aca1bada-b31e604832026-10-28yes https://rankdeterminant.com/v/chem-u19-ch3-c3https://rankdeterminant.com/media/v/chem-u19-ch3-c3.jpg?v=1f7f3aadd5-17e321Peptides | JEE Chemistry (English)Peptides for JEE: how the peptide bond, the amide –CO–NH–, forms with loss of water, N-terminal and C-terminal residues, why Gly-Ala differs from Ala-Gly, n − 1 peptide bonds in a linear chain and n in a cyclic one, the molar mass of a peptide, counting peptides with n! and k^n, and two solved problems, including a tetrapeptide of molar mass 274.https://rankdeterminant.com/media/v/chem-u19-ch3-c3.mp4?v=1f7f3aadd5-17e3215002026-10-28yes https://rankdeterminant.com/v/chem-u19-ch3-c4https://rankdeterminant.com/media/v/chem-u19-ch3-c4.jpg?v=4eb8b032de-0b311fJEE Advanced and IIT-JEE Questions: Amino Acids and Peptides | JEE Chemistry (English)Past JEE Advanced and IIT-JEE questions on amino acids and peptides, solved step by step: the zwitterion and which groups are acidic or basic, the cation at low pH and the anion at high pH, the peptide bond and N-terminal order, n minus one peptide bonds, peptide molar mass, the IIT-JEE 2010 lysine basic-groups question and the IIT-JEE 2011 decapeptide glycine question with its 47% trap.https://rankdeterminant.com/media/v/chem-u19-ch3-c4.mp4?v=4eb8b032de-0b311f4982026-10-28yes https://rankdeterminant.com/v/chem-u19-ch3-c5https://rankdeterminant.com/media/v/chem-u19-ch3-c5.jpg?v=9e707aaf68-729ae3AIEEE and JEE Main Questions (to 2021): Amino Acids and Peptides | JEE Chemistry (English)Past JEE Main and AIEEE questions on amino acids and peptides, solved step by step: why every alpha-amino acid except glycine is optically active (AIEEE 2012), the structure of tyrosine with one CH2 group and a para OH (JEE Main 2021), zwitterions and charge at different pH, and the negative charges on the tetrapeptide Gly-Glu-Asp-Tyr at pH 12.5 (JEE Main 2021).https://rankdeterminant.com/media/v/chem-u19-ch3-c5.mp4?v=9e707aaf68-729ae35162026-10-28yes https://rankdeterminant.com/v/chem-u19-ch4-c1https://rankdeterminant.com/media/v/chem-u19-ch4-c1.jpg?v=46c781cc8e-97e850Classification and Structure of Proteins | JEE Chemistry (English)Classification and structure of proteins for JEE chemistry: fibrous versus globular proteins with their examples, then the four levels of structure: the primary sequence held by peptide bonds, the secondary alpha-helix and beta-pleated sheet, tertiary folding and the forces that hold it, and quaternary structure in haemoglobin. Two solved problems with the classic trap.https://rankdeterminant.com/media/v/chem-u19-ch4-c1.mp4?v=46c781cc8e-97e8504732026-10-28yes https://rankdeterminant.com/v/chem-u2-ch1-c1https://rankdeterminant.com/media/v/chem-u2-ch1-c1.jpg?v=f394e3eca2-955ed9Discovery of Subatomic Particles | JEE Chemistry (English)Cathode rays and what they tell us, the charge and mass of the electron, proton and neutron, specific charge e/m, Thomson's 1897 measurement and Millikan's oil-drop experiment, how the mass of the electron was found, the anode-ray trap, and two JEE-style solved problems on e/m and the unit of charge.https://rankdeterminant.com/media/v/chem-u2-ch1-c1.mp4?v=f394e3eca2-955ed94872026-10-15yes https://rankdeterminant.com/v/chem-u2-ch1-c2https://rankdeterminant.com/media/v/chem-u2-ch1-c2.jpg?v=e19e1643b3Atomic Models | JEE Chemistry (English)Why did about 1 in 20 000 alpha particles bounce straight back from a thin gold foil? Learn Thomson's plum pudding model and why it failed, Rutherford's alpha-scattering observations, the size of the nucleus, the 1/sin^4(θ/2) law, the distance of closest approach, the drawbacks of Rutherford's model, and two JEE-style solved problems.https://rankdeterminant.com/media/v/chem-u2-ch1-c2.mp4?v=e19e1643b35162026-10-13yes https://rankdeterminant.com/v/chem-u2-ch1-c3https://rankdeterminant.com/media/v/chem-u2-ch1-c3.jpg?v=897acd63f3-526854Atomic Number, Mass Number and Related Terms | JEE Chemistry (English)Atomic number, mass number and the iso family made easy: read the symbol with A on top and Z below, count protons, neutrons and electrons in atoms and ions, tell isotopes, isobars, isotones, isoelectronic species and isodiaphers apart with a topper's memory trick, and solve two JEE-style problems: Cl- and Fe3+, and which species are isoelectronic with CO.https://rankdeterminant.com/media/v/chem-u2-ch1-c3.mp4?v=897acd63f3-5268544922026-10-15yes https://rankdeterminant.com/v/chem-u2-ch1-c4https://rankdeterminant.com/media/v/chem-u2-ch1-c4.jpg?v=5d96a6f43a-64ccc2Counting Particles and Average Atomic Mass | JEE Chemistry (English)Why is the atomic mass of chlorine 35.5 and not a whole number? Learn average atomic mass from isotopic abundance, count protons, neutrons and electrons in any sample with moles and Avogadro's constant, avoid the hydrogen-1 and milligram traps, and solve two JEE-style problems: electrons in 18 mg of water and the abundance of chlorine-35.https://rankdeterminant.com/media/v/chem-u2-ch1-c4.mp4?v=5d96a6f43a-64ccc25132026-10-16yes https://rankdeterminant.com/v/chem-u2-ch2-c1https://rankdeterminant.com/media/v/chem-u2-ch2-c1.jpg?v=da0ff7471fWave Nature of Radiation | JEE Chemistry (English)Are X-rays faster than radio waves? Learn how wavelength, frequency and wavenumber are linked by c = nu lambda and nu bar = 1/lambda, the order of the electromagnetic spectrum from gamma rays to radio waves, the visible range 400 to 750 nm, the cm-1 and angstrom unit traps, and two JEE-style solved problems.https://rankdeterminant.com/media/v/chem-u2-ch2-c1.mp4?v=da0ff7471f4922026-10-13yes https://rankdeterminant.com/v/chem-u2-ch2-c2https://rankdeterminant.com/media/v/chem-u2-ch2-c2.jpg?v=a8275e5a55Planck's Quantum Theory | JEE Chemistry (English)Can light energy come in packets? Learn Planck's quantum theory: why classical wave theory failed for the black body spectrum, photon energy E = h nu = hc/lambda with h = 6.626 x 10^-34 J s, the energy of n photons, the 1240/lambda(nm) electron volt shortcut, the 96.5 kJ per mole trick, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u2-ch2-c2.mp4?v=a8275e5a555312026-10-13yes https://rankdeterminant.com/v/chem-u2-ch2-c3https://rankdeterminant.com/media/v/chem-u2-ch2-c3.jpg?v=59bdc25640Counting Photons and Energy Balance | JEE Chemistry (English)How many photons does a 100 W bulb give out every second? Learn the photons per second formula N = P lambda / hc, the 1240 / lambda shortcut for photon energy in eV, energy balance when a molecule absorbs one photon and re-emits two (the reciprocals of the wavelengths add), where the extra energy goes when a photon breaks a bond, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u2-ch2-c3.mp4?v=59bdc256404442026-10-13yes https://rankdeterminant.com/v/chem-u2-ch2-c4https://rankdeterminant.com/media/v/chem-u2-ch2-c4.jpg?v=09c1b08ef1The Photoelectric Effect | JEE Chemistry (English)Why does a very bright lamp knock out no electrons while a dim lamp of higher frequency does? Learn the photoelectric effect: threshold frequency, work function, Einstein's equation K max = h nu - phi, stopping potential, intensity versus frequency, the K max against frequency graph of slope h, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u2-ch2-c4.mp4?v=09c1b08ef15202026-10-13yes https://rankdeterminant.com/v/chem-u2-ch3-c1https://rankdeterminant.com/media/v/chem-u2-ch3-c1.jpg?v=d06f65bd7c-88ba65Bohr's Postulates and the Orbits | JEE Chemistry (English)Bohr's three postulates, taught like a live JEE class: stationary orbits, quantised angular momentum mvr = nh/2π, and ΔE = hν for a jump. Learn the radius, speed and energy of the nth orbit of H, He+ and Li2+, why K = −E and U = 2E (K : U : E = 1 : −2 : −1), the topper's trick of remembering the powers of n and Z, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u2-ch3-c1.mp4?v=d06f65bd7c-88ba655042026-10-16yes https://rankdeterminant.com/v/chem-u2-ch3-c2https://rankdeterminant.com/media/v/chem-u2-ch3-c2.jpg?v=0cf36218b3-8ef18fTransitions, Ionisation and Excitation | JEE Chemistry (English)How much energy does an electron jump in a Bohr atom need? Learn the transition formula delta E = 13.6 Z squared (1/n1 squared - 1/n2 squared) eV, the 1240 over delta E wavelength shortcut, ionisation energy of H, He+ and Li2+, excitation energy, ionisation and excitation potentials, the Z squared scaling trick, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u2-ch3-c2.mp4?v=0cf36218b3-8ef18f4872026-10-16yes https://rankdeterminant.com/v/chem-u2-ch3-c3https://rankdeterminant.com/media/v/chem-u2-ch3-c3.jpg?v=715747cbcc-57b1d9Other Orbital Quantities and Limitations | JEE Chemistry (English)Time period, frequency of revolution and the current of the electron in a Bohr orbit, taught like a live JEE class: why T ∝ n³/Z² and f ∝ Z²/n³, how the orbiting electron becomes a current I = ef, the limitations of Bohr's model (many-electron atoms, Zeeman and Stark effects, bonding, the uncertainty principle) and two solved JEE problems with the classic traps.https://rankdeterminant.com/media/v/chem-u2-ch3-c3.mp4?v=715747cbcc-57b1d95282026-10-16yes https://rankdeterminant.com/v/chem-u2-ch3-c4https://rankdeterminant.com/media/v/chem-u2-ch3-c4.jpg?v=cb5d674790-e96f7eHydrogen-like Ions: A Drill | JEE Chemistry (English)A fast drill on hydrogen-like ions for JEE, taught like a live class: find Z, the nuclear charge, then scale Bohr's results (radius as n²/Z, speed as Z/n, energy as Z²/n²). Why Li2+ needs 122.4 eV, nine times hydrogen, the first-excited-state trap for He+, equal speeds in He+ and Li2+, and two solved problems: the first orbit of Be3+ and identifying an ion from its ground-state energy.https://rankdeterminant.com/media/v/chem-u2-ch3-c4.mp4?v=cb5d674790-e96f7e5032026-10-16yes https://rankdeterminant.com/v/chem-u2-ch4-c1https://rankdeterminant.com/media/v/chem-u2-ch4-c1.jpg?v=c8730f7803Line Spectra and the Rydberg Formula | JEE Chemistry (English)Line spectra explained like a live JEE class: emission and absorption spectra, why every element has its own fingerprint, the Rydberg formula 1/λ = R_H Z²(1/n1² − 1/n2²), the Lyman, Balmer, Paschen, Brackett and Pfund series, R_H = 13.6 eV/hc, and two solved problems: the first Balmer line (656 nm) and the second Lyman line.https://rankdeterminant.com/media/v/chem-u2-ch4-c1.mp4?v=c8730f78035332026-10-13yes https://rankdeterminant.com/v/chem-u2-ch4-c2https://rankdeterminant.com/media/v/chem-u2-ch4-c2.jpg?v=be8a33f89dFirst Lines, Series Limits and Ratios | JEE Chemistry (English)How to find the first line (longest wavelength) and the series limit (shortest wavelength) of the Lyman, Balmer and Paschen series of hydrogen, where the limits 91.2 nm, 364.6 nm and 820.4 nm come from, the topper's trick of cancelling the Rydberg constant and flipping the bracket ratio, and two JEE-style solved problems: the 5:27 ratio of first lines and the Balmer-limit puzzle.https://rankdeterminant.com/media/v/chem-u2-ch4-c2.mp4?v=be8a33f89d5242026-10-13yes https://rankdeterminant.com/v/chem-u2-ch4-c3https://rankdeterminant.com/media/v/chem-u2-ch4-c3.jpg?v=c5217e3794How Many Lines? | JEE Chemistry (English)How many spectral lines can a sample of hydrogen give? Learn to count lines by counting pairs of levels, the n(n-1)/2 shortcut for the ground state and the general formula for n2 to n1, why a single atom gives at most n2 - n1 photons, why ground-state hydrogen absorbs only Lyman lines, and two JEE solved problems with the classic trap.https://rankdeterminant.com/media/v/chem-u2-ch4-c3.mp4?v=c5217e37944852026-10-13yes https://rankdeterminant.com/v/chem-u2-ch5-c1https://rankdeterminant.com/media/v/chem-u2-ch5-c1.jpg?v=c83d232056de Broglie Wavelength | JEE Chemistry (English)How to find the de Broglie wavelength of any moving particle: lambda = h/p = h/mv = h/√(2mK), the formula for a charge accelerated through a potential difference, the 12.27/√V angstrom shortcut that works only for electrons, the topper's ratio trick, and two JEE-style solved problems: why a ball's wave is never seen, and the proton to alpha-particle wavelength ratio.https://rankdeterminant.com/media/v/chem-u2-ch5-c1.mp4?v=c83d2320564622026-10-13yes https://rankdeterminant.com/v/chem-u2-ch5-c2https://rankdeterminant.com/media/v/chem-u2-ch5-c2.jpg?v=b2735c1dbb-64ca2ade Broglie Waves in Bohr Orbits | JEE Chemistry (English)Why does Bohr's model allow only certain orbits? Fit the electron's de Broglie wave round the orbit: 2πr = nλ gives Bohr's condition mvr = nh/2π, so the nth orbit holds n wavelengths and λn = 2πa0 n/Z. Learn the n/Z versus n²/Z trap, and solve two problems: the ground-state wavelength of hydrogen (3.32 Å) and a hydrogen to He+ wavelength ratio (4 : 1).https://rankdeterminant.com/media/v/chem-u2-ch5-c2.mp4?v=b2735c1dbb-64ca2a4702026-10-16yes https://rankdeterminant.com/v/chem-u2-ch5-c3https://rankdeterminant.com/media/v/chem-u2-ch5-c3.jpg?v=4d0882e550Heisenberg's Uncertainty Principle | JEE Chemistry (English)Heisenberg's uncertainty principle for JEE: why position and momentum can never both be exact, Δx·Δp ≥ h/4π and the speed form Δx·Δv ≥ h/4πm, the energy–time relation, why an electron in an atom has orbitals and not orbits, the least-uncertainty trick, and two solved problems: an electron in an atom, and why an electron cannot live inside a nucleus.https://rankdeterminant.com/media/v/chem-u2-ch5-c3.mp4?v=4d0882e5505042026-10-13yes https://rankdeterminant.com/v/chem-u2-ch6-c1https://rankdeterminant.com/media/v/chem-u2-ch6-c1.jpg?v=950cbc9c7fWave Functions and Orbitals | JEE Chemistry (English)What the wave function psi means and why only psi squared has physical meaning, orbit vs orbital (the classic trap), boundary surfaces, why the 1s radial probability 4πr²ψ² is zero at the nucleus but peaks at a0 = 0.529 Å, the n − l maxima and n − l − 1 radial nodes rule, and two JEE-style solved problems: the maxima of 3s, 3p and 3d, and the radial nodes of the 3s orbital.https://rankdeterminant.com/media/v/chem-u2-ch6-c1.mp4?v=950cbc9c7f5162026-10-13yes https://rankdeterminant.com/v/chem-u2-ch6-c2https://rankdeterminant.com/media/v/chem-u2-ch6-c2.jpg?v=643ac632bfThe Four Quantum Numbers | JEE Chemistry (English)The four quantum numbers for JEE: principal n, azimuthal l, magnetic ml and spin ms, their allowed values and what each one tells us, why l stops at n minus 1, the counting rules 2l+1 and n² for orbitals and 2(2l+1) and 2n² for electrons, orbital and spin angular momentum, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u2-ch6-c2.mp4?v=643ac632bf5292026-10-13yes https://rankdeterminant.com/v/chem-u2-ch6-c3https://rankdeterminant.com/media/v/chem-u2-ch6-c3.jpg?v=0aee2554d0Shapes of Orbitals and Nodes | JEE Chemistry (English)Shapes of s, p and d orbitals for JEE: the spherical s orbital, the dumb-bell p orbitals along the axes, the five d orbitals (which have lobes between the axes, which on them, and the odd d z² with its ring), nodal planes, and the node formulas: radial n − l − 1, angular l, total n − 1. Two solved problems: the nodes of 2s, 3p and 4d, and naming an orbital from its nodes.https://rankdeterminant.com/media/v/chem-u2-ch6-c3.mp4?v=0aee2554d04882026-10-13yes https://rankdeterminant.com/v/chem-u2-ch6-c4https://rankdeterminant.com/media/v/chem-u2-ch6-c4.jpg?v=e0bbbd9bd2Energies of Orbitals | JEE Chemistry (English)Why is 4s lower than 3d? Energies of orbitals for JEE: in hydrogen the energy depends only on n (2s = 2p, n² degenerate orbitals), while in a many-electron atom the subshells split by the (n+l) rule, with lower n first on a tie. The full energy order, degenerate orbitals, and two solved problems: arranging 4f, 5d, 6s and 6p, and degeneracy in hydrogen versus iron.https://rankdeterminant.com/media/v/chem-u2-ch6-c4.mp4?v=e0bbbd9bd24692026-10-13yes https://rankdeterminant.com/v/chem-u2-ch7-c1https://rankdeterminant.com/media/v/chem-u2-ch7-c1.jpg?v=8d22709512-bca14eRules for Filling Orbitals | JEE Chemistry (English)The three rules for filling orbitals, explained for JEE: the Aufbau principle with the (n + l) order, the Pauli exclusion principle (at most two electrons per orbital, with opposite spins), Hund's rule of maximum multiplicity, and the noble gas core shorthand. Two solved problems: the configurations of K, Ca and Sc, and spotting which rule a wrong configuration breaks.https://rankdeterminant.com/media/v/chem-u2-ch7-c1.mp4?v=8d22709512-bca14e4752026-10-16yes https://rankdeterminant.com/v/chem-u2-ch7-c2https://rankdeterminant.com/media/v/chem-u2-ch7-c2.jpg?v=04b3be0bedExceptions and Exchange Energy | JEE Chemistry (English)Why is chromium 3d5 4s1 and copper 3d10 4s1? Exceptions in electronic configuration for JEE: the extra stability of half-filled and completely filled subshells, symmetric charge distribution, exchange energy and the k(k−1)/2 exchange-pair formula, the exceptions Mo, Ag, Au, Pd and Gd, and two solved problems: chromium by exchange pairs, and the 2p exchange pairs of nitrogen and oxygen.https://rankdeterminant.com/media/v/chem-u2-ch7-c2.mp4?v=04b3be0bed4172026-10-13yes https://rankdeterminant.com/v/chem-u2-ch7-c3https://rankdeterminant.com/media/v/chem-u2-ch7-c3.jpg?v=e2bef9a48a-ed0abbConfigurations of Ions | JEE Chemistry (English)How to write the electronic configuration of ions for JEE: a transition metal cation loses its 4s electrons before 3d, so Fe2+ is [Ar]3d6, not [Ar]3d4 4s2, while anions add electrons in the usual order. A two-step method and two solved problems: Cu+ and Zn2+, and why Fe3+ (half-filled 3d5) is more stable than Fe2+ and Mn2+ is hard to oxidise.https://rankdeterminant.com/media/v/chem-u2-ch7-c3.mp4?v=e2bef9a48a-ed0abb4082026-10-16yes https://rankdeterminant.com/v/chem-u2-ch7-c4https://rankdeterminant.com/media/v/chem-u2-ch7-c4.jpg?v=37d8fa8781-87f2c4Unpaired Electrons and Magnetic Moment | JEE Chemistry (English)How to count unpaired electrons with Hund's rule and find the spin-only magnetic moment μ = √(n(n+2)) BM for JEE: the five values from 1.73 to 5.92 BM, diamagnetic and paramagnetic species, the d8 and d10 traps, and two solved problems: finding n from 3.87 BM, and which of Fe2+, Mn2+, Co2+ and Cr3+ has the largest moment.https://rankdeterminant.com/media/v/chem-u2-ch7-c4.mp4?v=37d8fa8781-87f2c45092026-10-16yes https://rankdeterminant.com/v/chem-u2-ch7-c5https://rankdeterminant.com/media/v/chem-u2-ch7-c5.jpg?v=e542706d38-426b37Counting Electrons by Quantum Numbers | JEE Chemistry (English)How many electrons in an atom have l = 2, or m_l = 0? Count them subshell by subshell from the full electronic configuration: every s electron has l = 0 and m_l = 0, full p, d and f subshells have two electrons in each m_l, and part-filled subshells follow Hund's rule. Two JEE-style solved problems, iron and chromium, with the classic m_l = 0 trap.https://rankdeterminant.com/media/v/chem-u2-ch7-c5.mp4?v=e542706d38-426b374382026-10-16yes https://rankdeterminant.com/v/chem-u2-ch8-c1https://rankdeterminant.com/media/v/chem-u2-ch8-c1.jpg?v=00897ab0b8Overview | JEE Chemistry (English)How to practise the mixed JEE Main-pattern problems of Atomic Structure like a real test: the question types, one to two minutes a problem, the try-first rule, the 1240 over lambda shortcut for photon energies in eV, and two solved photoelectric problems: a stopping potential, and how it changes when the wavelength changes.https://rankdeterminant.com/media/v/chem-u2-ch8-c1.mp4?v=00897ab0b84992026-10-13yes https://rankdeterminant.com/v/chem-u2-ch8-c2https://rankdeterminant.com/media/v/chem-u2-ch8-c2.jpg?v=8864da125fMixed Problems: Set 1 (Particles, Photons and the Photoelectric Effect) | JEE Chemistry (English)A mixed problem class for JEE Main atomic structure, taught like a live class: neutrons and electrons in a K+ ion, protons in 4.4 g of CO2, the 1240 by lambda shortcut, the energy of a mole of photons, photons per second from a lamp, Einstein's photoelectric equation, the K1 to K2 ratio trap, stopping potential, and a change in stopping potential with no metal given.https://rankdeterminant.com/media/v/chem-u2-ch8-c2.mp4?v=8864da125f5412026-10-13yes https://rankdeterminant.com/v/chem-u2-ch8-c3https://rankdeterminant.com/media/v/chem-u2-ch8-c3.jpg?v=ed26fb0581Mixed Problems: Set 2 (Bohr Model, Spectra and de Broglie) | JEE Chemistry (English)A JEE Main style mixed set on atomic structure: ratios of Bohr radii and line wavelengths for He+ and Li2+, kinetic energy of an orbit, ionising from the first excited state, the de Broglie wavelength of an electron, angular momentum from the energy, and how many lines a hydrogen sample emits after absorbing 12.75 eV, with the classic traps.https://rankdeterminant.com/media/v/chem-u2-ch8-c3.mp4?v=ed26fb05815302026-10-13yes https://rankdeterminant.com/v/chem-u2-ch8-c4https://rankdeterminant.com/media/v/chem-u2-ch8-c4.jpg?v=c974c6206bMixed Problems: Set 3 (Quantum Numbers, Nodes and Configurations) | JEE Chemistry (English)A mixed problem class for JEE Main atomic structure, taught like a live class: radial and angular nodes of 3p, 4d and 5d, counting orbitals and electrons from n, l and the spin quantum number, why there is no 2f orbital, ions that lose 4s first, unpaired electrons and the spin-only magnetic moment, and the chromium spin puzzle where half of 24 is not the answer.https://rankdeterminant.com/media/v/chem-u2-ch8-c4.mp4?v=c974c6206b4882026-10-13yes https://rankdeterminant.com/v/chem-u2-ch9-c1https://rankdeterminant.com/media/v/chem-u2-ch9-c1.jpg?v=3f56f881e9-1e59f8Overview | JEE Chemistry (English)How to use the Atomic Structure problem bank as a real test: Part A as a 40-minute JEE Main test, Part B JEE Advanced problems that join two or more ideas, Part C true/false and assertion–reason checks, the 1240 over lambda and minus 13.6 Z squared over n squared tools, and two solved problems: the n = 4 level of hydrogen, and a helium-ion photon freeing a hydrogen electron.https://rankdeterminant.com/media/v/chem-u2-ch9-c1.mp4?v=3f56f881e9-1e59f84422026-10-16yes https://rankdeterminant.com/v/chem-u2-ch9-c2https://rankdeterminant.com/media/v/chem-u2-ch9-c2.jpg?v=5ba3fa41d6-7e2ddbPart A: JEE Main Level | JEE Chemistry (English)JEE Main-level atomic structure problems from the unit problem bank, solved like a live class: Bohr energy and radius and why the powers of n and Z differ, the quantum number set that is not allowed, the nodes of a 3d orbital, why Cu+ and Fe2+ lose 4s electrons first, the spin-only magnetic moment, counting spectral lines from n = 6, and the 4 to 3 line of hydrogen that nobody can see.https://rankdeterminant.com/media/v/chem-u2-ch9-c2.mp4?v=5ba3fa41d6-7e2ddb4692026-10-16yes https://rankdeterminant.com/v/chem-u2-ch9-c4https://rankdeterminant.com/media/v/chem-u2-ch9-c4.jpg?v=675395fcfb-c9f88cPart C: Concept Checks | JEE Chemistry (English)Quick concept checks for JEE atomic structure, taught like a live class: how to crack assertion–reason and true-or-false questions, why cathode rays have the same e/m in every gas, why 3s and 3d have equal energy in hydrogen, Bohr's model for He+, the photoelectric traps on intensity and frequency, the de Broglie wavelength of a cricket ball, and why the ionisation energy of He+ is four times that of hydrogen.https://rankdeterminant.com/media/v/chem-u2-ch9-c4.mp4?v=675395fcfb-c9f88c4712026-10-16yes https://rankdeterminant.com/v/chem-u3-ch1-c1https://rankdeterminant.com/media/v/chem-u3-ch1-c1.jpg?v=6e4f94d563The Kossel–Lewis Approach and the Octet Rule | JEE Chemistry (English)The octet rule from the Kossel–Lewis approach, taught like a live class: why atoms aim for eight valence electrons, Lewis symbols and the duplet, the three exceptions (incomplete octet in BeCl2 and BF3, odd-electron molecules like NO, expanded octet in PCl5 and SF6), the electron-deficient trap, and two JEE-style solved problems, including why NCl5 and OF4 cannot exist.https://rankdeterminant.com/media/v/chem-u3-ch1-c1.mp4?v=6e4f94d5635332026-10-14yes https://rankdeterminant.com/v/chem-u3-ch1-c2https://rankdeterminant.com/media/v/chem-u3-ch1-c2.jpg?v=0a402ba957Formation of Ionic Bonds | JEE Chemistry (English)How an ionic (electrovalent) bond forms: complete electron transfer from a metal to a non-metal, the three conditions (low ionisation enthalpy, large negative electron gain enthalpy, large lattice enthalpy), why NaCl forms even though the electron transfer costs 147 kJ/mol, the properties of ionic compounds, and two JEE-style solved problems on the formula XY2 and on MgO.https://rankdeterminant.com/media/v/chem-u3-ch1-c2.mp4?v=0a402ba9575382026-10-14yes https://rankdeterminant.com/v/chem-u3-ch1-c3https://rankdeterminant.com/media/v/chem-u3-ch1-c3.jpg?v=aaa74d84e3Lattice Enthalpy and the Born–Haber Cycle | JEE Chemistry (English)What lattice enthalpy means and why its sign depends on the definition, how ionic charge and size control it (z+z-/(r+ + r-)), why MgO is almost five times NaCl, the charges-first-then-size trick for ordering salts, and the Born–Haber cycle with two solved JEE-style problems: ordering KBr, KCl, NaCl, MgO and finding the lattice enthalpy of NaF.https://rankdeterminant.com/media/v/chem-u3-ch1-c3.mp4?v=aaa74d84e35552026-10-14yes https://rankdeterminant.com/v/chem-u3-ch1-c4https://rankdeterminant.com/media/v/chem-u3-ch1-c4.jpg?v=bdd729b0eaCovalent Character in Ionic Bonds: Fajans' Rules | JEE Chemistry (English)Fajans' rules explained: how a small, highly charged cation polarises an anion and gives an ionic bond some covalent character, polarising power and polarisability, why a pseudo-noble-gas d10 cation such as Cu+ polarises more, the effects on melting point, solubility, colour and hydrolysis, and two JEE-style solved problems on NaCl, MgCl2, AlCl3 and on CuCl.https://rankdeterminant.com/media/v/chem-u3-ch1-c4.mp4?v=bdd729b0ea5142026-10-14yes https://rankdeterminant.com/v/chem-u3-ch2-c1https://rankdeterminant.com/media/v/chem-u3-ch2-c1.jpg?v=f3e0f95601-cff532Lewis Structures and Formal Charge | JEE Chemistry (English)How to draw a Lewis structure in four steps and find the formal charge on every atom with V minus L minus half B: lone-pair electrons versus lone pairs, the 0, +1, -1 charges in ozone, why the formal charges add up to the charge of the species, how to pick the best structure, and two JEE-style solved problems on carbon monoxide and the sulphate ion.https://rankdeterminant.com/media/v/chem-u3-ch2-c1.mp4?v=f3e0f95601-cff5325022026-10-16yes https://rankdeterminant.com/v/chem-u3-ch2-c2https://rankdeterminant.com/media/v/chem-u3-ch2-c2.jpg?v=a1fad038a2-4bd144Coordinate Bonds | JEE Chemistry (English)What a coordinate (dative) bond is: the donor with a lone pair, the acceptor with a vacant orbital, the arrow notation, how NH4+ and H3O+ form, why all four N-H bonds of NH4+ are identical, coordinate bonds in [Cu(NH3)4]SO4, CO, O3 and HNO3, and two JEE-style solved problems on BF3 versus CF4 and the Al2Cl6 dimer.https://rankdeterminant.com/media/v/chem-u3-ch2-c2.mp4?v=a1fad038a2-4bd1444922026-10-16yes https://rankdeterminant.com/v/chem-u3-ch2-c3https://rankdeterminant.com/media/v/chem-u3-ch2-c3.jpg?v=586415f258-9d0e66Resonance | JEE Chemistry (English)What resonance really means: canonical structures that differ only in where the electrons sit, the resonance hybrid and resonance energy, bond order from resonance (carbonate and nitrate 4/3, ozone 3/2, phosphate 5/4), why all the C–O bonds in carbonate are 129 pm, the no-flipping trap, and two JEE-style solved problems on ozone and the N–O bond lengths in NO2+, NO2- and NO3-.https://rankdeterminant.com/media/v/chem-u3-ch2-c3.mp4?v=586415f258-9d0e664842026-10-16yes https://rankdeterminant.com/v/chem-u3-ch2-c4https://rankdeterminant.com/media/v/chem-u3-ch2-c4.jpg?v=b972a69693Bond Parameters | JEE Chemistry (English)Bond parameters explained for JEE: bond length as the sum of covalent radii, bond angle, bond enthalpy in the gas phase, why the two O–H bonds of water need 502 and 427 kJ/mol and the average 464.5, how a higher bond order gives a shorter and stronger bond, why F2 is weaker than Cl2, and two solved problems including the enthalpy change of H2 + Cl2 from bond enthalpies.https://rankdeterminant.com/media/v/chem-u3-ch2-c4.mp4?v=b972a696934602026-10-14yes https://rankdeterminant.com/v/chem-u3-ch2-c5https://rankdeterminant.com/media/v/chem-u3-ch2-c5.jpg?v=01bee951f1-9df68fElectronegativity, Polarity and Dipole Moment | JEE Chemistry (English)Electronegativity, polar bonds and dipole moment explained: delta plus and delta minus, mu = q x d in debye, percentage ionic character, adding bond and lone-pair moments as vectors, why CO2, BF3 and CCl4 have zero dipole moment, NH3 versus NF3, ortho, meta and para isomers, and two JEE-style solved problems on polar molecules and HCl.https://rankdeterminant.com/media/v/chem-u3-ch2-c5.mp4?v=01bee951f1-9df68f5162026-10-16yes https://rankdeterminant.com/v/chem-u3-ch3-c1https://rankdeterminant.com/media/v/chem-u3-ch3-c1.jpg?v=f058af466cThe VSEPR Model | JEE Chemistry (English)The VSEPR model for JEE: why electron pairs round a central atom spread as far apart as possible, why a double bond counts as one region, the order lone pair–lone pair > lone pair–bond pair > bond pair–bond pair, why the shape uses the atoms only, and the quick count ½(V + M − c + a) for electron pairs, with solved problems on SF4, ClF3, XeF4, SO4 2−, XeO3 and SO2.https://rankdeterminant.com/media/v/chem-u3-ch3-c1.mp4?v=f058af466c5402026-10-14yes https://rankdeterminant.com/v/chem-u3-ch3-c2https://rankdeterminant.com/media/v/chem-u3-ch3-c2.jpg?v=b1ea5acdd6Shapes with Bond Pairs Only | JEE Chemistry (English)Shapes of molecules when the central atom has only bond pairs: linear BeCl2 and CO2, trigonal planar BF3, tetrahedral CH4 at 109°28′, trigonal bipyramidal PCl5 with its longer axial bonds, octahedral SF6 and pentagonal bipyramidal IF7. Why π bonds do not count, why the rule holds only when the central atom has no lone pair, and two solved JEE-style problems: the shapes of SO3 and sulphate, and the 90° angles in SF6 and PF5.https://rankdeterminant.com/media/v/chem-u3-ch3-c2.mp4?v=b1ea5acdd65392026-10-14yes https://rankdeterminant.com/v/chem-u3-ch3-c3https://rankdeterminant.com/media/v/chem-u3-ch3-c3.jpg?v=4a33c6252aShapes with Lone Pairs | JEE Chemistry (English)VSEPR shapes with lone pairs for JEE: the AXE code, bent and pyramidal shapes from three and four pairs, why lone pairs always take equatorial places in a trigonal bipyramid (see-saw SF4, T-shaped ClF3, linear XeF2), why the two lone pairs of XeF4 sit opposite (square planar), XeF5− and XeF6, and two solved problems on NH3, H2O, SO2, SnCl2 and three xenon compounds (XeO3, XeO2F2, XeOF4).https://rankdeterminant.com/media/v/chem-u3-ch3-c3.mp4?v=4a33c6252a5442026-10-14yes https://rankdeterminant.com/v/chem-u3-ch3-c4https://rankdeterminant.com/media/v/chem-u3-ch3-c4.jpg?v=5617fbb638-5c1449Comparing Bond Angles | JEE Chemistry (English)How to compare bond angles quickly: why CH4 > NH3 > H2O, why the angle falls from NH3 to PH3 and from H2O to H2S down a group, why NF3 has a smaller angle than NH3 but Cl2O a larger one than water, and why NO2+ > NO2 > NO2−. Two solved JEE-style problems: BF3 versus NF3, and arranging NH4+, H3O+ and H2O by bond angle.https://rankdeterminant.com/media/v/chem-u3-ch3-c4.mp4?v=5617fbb638-5c14495342026-10-16yes https://rankdeterminant.com/v/chem-u3-ch3-c5https://rankdeterminant.com/media/v/chem-u3-ch3-c5.jpg?v=d330d3df96Counting Lone Pairs; Isostructural and Isoelectronic Species | JEE Chemistry (English)How to count the total lone pairs in a molecule for JEE: the central atom from the quick count, then 3 on each F or Cl, 2 or 3 on each O and 1 on each N with three bonds, with a valence-pair check. Then isoelectronic and isostructural species, the families to remember (CO2, N3-, ClO4-, XeF2...), the SO3 2- (sulphite) trap, and two solved problems.https://rankdeterminant.com/media/v/chem-u3-ch3-c5.mp4?v=d330d3df965402026-10-14yes https://rankdeterminant.com/v/chem-u3-ch4-c1https://rankdeterminant.com/media/v/chem-u3-ch4-c1.jpg?v=a6c7eee632-4c99b0Valence Bond Theory and Orbital Overlap | JEE Chemistry (English)Sigma and pi bonds from valence bond theory for JEE: how a covalent bond forms when half-filled orbitals overlap, the energy of two H atoms (lowest at 74 pm, 435 kJ/mol released), positive, negative and zero overlap, head-on and sideways overlap, why sigma is stronger than pi, why a double bond cannot rotate, and counting sigma and pi bonds in ethene, ethyne and acrylonitrile.https://rankdeterminant.com/media/v/chem-u3-ch4-c1.mp4?v=a6c7eee632-4c99b05102026-10-16yes https://rankdeterminant.com/v/chem-u3-ch4-c2https://rankdeterminant.com/media/v/chem-u3-ch4-c2.jpg?v=b14506bbc8-157c02Hybridisation with s and p Orbitals | JEE Chemistry (English)How hybridisation works: why beryllium, with no unpaired electron, still forms two identical bonds in BeCl2; the shapes, angles and s character of sp, sp2 and sp3 hybrids; finding hybridisation from sigma bonds plus lone pairs; why pi bonds are never counted (CO2 is sp); and two solved JEE-style problems: BeCl2, BCl3, CH4, NH3, H2O, then S in SO2, SO3 and SO4 2-.https://rankdeterminant.com/media/v/chem-u3-ch4-c2.mp4?v=b14506bbc8-157c024992026-10-16yes https://rankdeterminant.com/v/chem-u3-ch4-c3https://rankdeterminant.com/media/v/chem-u3-ch4-c3.jpg?v=5f7518fcaa-a2ed2cHybridisation Involving d Orbitals | JEE Chemistry (English)Hybridisation involving d orbitals for JEE: how sulfur gets six unpaired electrons for SF6 by promotion into vacant 3d orbitals, why oxygen cannot form OF6, sp3d with dz2 (trigonal bipyramidal), sp3d2 (octahedral), sp3d3 (pentagonal bipyramidal), dsp2 square planar complexes, the lone-pair trap in SF4 and XeF4, and solved examples on PCl5, SF6, IF7 and the xenon fluorides.https://rankdeterminant.com/media/v/chem-u3-ch4-c3.mp4?v=5f7518fcaa-a2ed2c5002026-10-16yes https://rankdeterminant.com/v/chem-u3-ch4-c4https://rankdeterminant.com/media/v/chem-u3-ch4-c4.jpg?v=1c0223e692pπ–pπ and pπ–dπ Bonding; Changes of Hybridisation | JEE Chemistry (English)Back bonding and p pi-d pi bonding for JEE chemistry: why pi bonds between second-period atoms are p pi-p pi, how oxygen's filled 2p overlaps empty d orbitals in sulphate, phosphate and XeO3, why BF3 is the weakest Lewis acid of BF3, BCl3 and BBr3, why trisilylamine is planar, and when hybridisation changes, with two solved problems on BF4- versus NH4+ and the pi bonds in SO3.https://rankdeterminant.com/media/v/chem-u3-ch4-c4.mp4?v=1c0223e6925152026-10-14yes https://rankdeterminant.com/v/chem-u3-ch5-c1https://rankdeterminant.com/media/v/chem-u3-ch5-c1.jpg?v=2c6874136fFormation of Molecular Orbitals | JEE Chemistry (English)How molecular orbitals form, for JEE: the LCAO idea, why n atomic orbitals give n molecular orbitals, the bonding MO (psi A plus psi B, lower energy, density between the nuclei), the starred antibonding MO (higher energy, a node between the nuclei), the three conditions for combining, which 2s and 2p pairs give sigma and pi MOs, and two solved examples with the classic traps.https://rankdeterminant.com/media/v/chem-u3-ch5-c1.mp4?v=2c6874136f5182026-10-14yes https://rankdeterminant.com/v/chem-u3-ch5-c2https://rankdeterminant.com/media/v/chem-u3-ch5-c2.jpg?v=e503eb55f6Energy Order and Electronic Configurations | JEE Chemistry (English)Molecular orbital energy order for JEE: why the pi 2p pair lies below sigma 2pz up to 14 electrons (s-p mixing in B2, C2, N2) and above it from O2 on, writing MO electronic configurations with the KK shorthand, bond order from bonding and antibonding electrons, why O2 and B2 are paramagnetic, and solved examples on F2 and B2 with the classic order trap.https://rankdeterminant.com/media/v/chem-u3-ch5-c2.mp4?v=e503eb55f65092026-10-14yes https://rankdeterminant.com/v/chem-u3-ch5-c3https://rankdeterminant.com/media/v/chem-u3-ch5-c3.jpg?v=d90fd684a6Bond Order, Stability and Magnetism | JEE Chemistry (English)Bond order, stability and magnetism of second-period diatomic species from the total electron count: the bond order table from 6 to 20 electrons, the mirror trick around 14, unpaired electrons and the O2 paramagnetism trap, why N2+ is more stable than N2-, and solved examples on the O2 ions and on NO, NO+ and NO-.https://rankdeterminant.com/media/v/chem-u3-ch5-c3.mp4?v=d90fd684a65282026-10-14yes https://rankdeterminant.com/v/chem-u3-ch5-c4https://rankdeterminant.com/media/v/chem-u3-ch5-c4.jpg?v=4ee824d131Bond Length, Bond Energy and Heteronuclear Species | JEE Chemistry (English)Bond order, bond length and bond energy from molecular orbital theory, for JEE: the 14-electron isoelectronic family (N2, CO, CN minus, NO plus) with bond order 3, why NO and CN are paramagnetic with bond order 2.5, why CO binds metals through carbon, the N2, O2 and F2 bond data, and two solved examples with the classic traps.https://rankdeterminant.com/media/v/chem-u3-ch5-c4.mp4?v=4ee824d1315392026-10-14yes https://rankdeterminant.com/v/chem-u3-ch6-c1https://rankdeterminant.com/media/v/chem-u3-ch6-c1.jpg?v=4f97e44887Hydrogen Bonding | JEE Chemistry (English)What a hydrogen bond is and when it forms (H on F, O or N), the strength order F–H···F > O–H···O > N–H···N, why water boils at 100 °C but H2S at −60 °C, why ice floats, carboxylic acid dimers, intramolecular hydrogen bonding in o-nitrophenol, and two solved examples with the HCl and HF traps.https://rankdeterminant.com/media/v/chem-u3-ch6-c1.mp4?v=4f97e448875072026-10-14yes https://rankdeterminant.com/v/chem-u3-ch6-c2https://rankdeterminant.com/media/v/chem-u3-ch6-c2.jpg?v=776f549094Van der Waals Forces | JEE Chemistry (English)Van der Waals forces for JEE: London dispersion forces between all molecules, dipole-dipole, dipole-induced dipole and ion-dipole forces, how electrons, surface area and branching decide boiling points, the classic HCl versus HI trap, and two solved examples on the noble gases and the pentane isomers.https://rankdeterminant.com/media/v/chem-u3-ch6-c2.mp4?v=776f5490945032026-10-14yes https://rankdeterminant.com/v/chem-u3-ch6-c3https://rankdeterminant.com/media/v/chem-u3-ch6-c3.jpg?v=e820f32387Metallic Bonding | JEE Chemistry (English)Metallic bonding explained for JEE: the electron sea model of positive kernels in mobile valence electrons, why metals conduct electricity and heat and are lustrous, why they are malleable and ductile while ionic crystals are brittle, and how the number of valence electrons and the size of the atom set the melting point (Na, Mg, Al, the alkali metals, tungsten, mercury), with two solved examples.https://rankdeterminant.com/media/v/chem-u3-ch6-c3.mp4?v=e820f323875102026-10-14yes https://rankdeterminant.com/v/chem-u3-ch7-c1https://rankdeterminant.com/media/v/chem-u3-ch7-c1.jpg?v=9ceaf6fb82Overview | JEE Chemistry (English)How to use the Chemical Bonding mixed problem sets like a real JEE Main paper: three timed sets of fifteen original problems on ionic bonding, Lewis structures and polarity, shapes and hybridisation, molecular orbitals and intermolecular forces, twenty minutes per set, about eighty seconds a problem, and two solved problems: ionic plus covalent bonds in NH4Br, and lone pairs on xenon.https://rankdeterminant.com/media/v/chem-u3-ch7-c1.mp4?v=9ceaf6fb824942026-10-14yes https://rankdeterminant.com/v/chem-u3-ch7-c2https://rankdeterminant.com/media/v/chem-u3-ch7-c2.jpg?v=7859a09a8aSet 1 (Ionic Bonding, Lewis Structures and Polarity) | JEE Chemistry (English)A live problem class on chemical bonding for JEE Main: ionic compounds that hide covalent bonds, Fajans' rules for covalent character (BeCl2 to BaCl2, NaI), formal charge with V minus L minus half B in SO2 and thiocyanate, zero dipole moment in XeF2, BF3 and PF5, lone pairs in the perchlorate ion, and the resultant of two 1.6 D bond moments at 110 degrees.https://rankdeterminant.com/media/v/chem-u3-ch7-c2.mp4?v=7859a09a8a5172026-10-14yes https://rankdeterminant.com/v/chem-u3-ch7-c3https://rankdeterminant.com/media/v/chem-u3-ch7-c3.jpg?v=7b10bea70bSet 2 (Shapes, Lone Pairs and Hybridisation) | JEE Chemistry (English)Shapes, lone pairs and hybridisation questions for JEE Main, a little over a minute each: the quick pair count 1/2(V + M - c + a), lone pairs = pairs - attached atoms, sp3d and sp3d2 from the pair count, why lone pairs sit equatorial or opposite, why ClF3 is T-shaped while BF3 is trigonal planar, and two solved problems on PCl4+, ICl4+ and the lone pairs on xenon.https://rankdeterminant.com/media/v/chem-u3-ch7-c3.mp4?v=7b10bea70b5372026-10-14yes https://rankdeterminant.com/v/chem-u3-ch7-c4https://rankdeterminant.com/media/v/chem-u3-ch7-c4.jpg?v=75d83846d9Set 3 (Molecular Orbitals and Intermolecular Forces) | JEE Chemistry (English)A mixed problem class for JEE Main chemical bonding, taught like a live class: the MO energy order with and without s–p mixing, paramagnetic or diamagnetic from unpaired electrons, bond order and bond length of O2 ions, why water boils higher than HF although HF has the strongest hydrogen bond, London forces in alkanes, ion–dipole attraction, and the s–p mixing trap for B2 and C2.https://rankdeterminant.com/media/v/chem-u3-ch7-c4.mp4?v=75d83846d94922026-10-14yes https://rankdeterminant.com/v/chem-u3-ch8-c1https://rankdeterminant.com/media/v/chem-u3-ch8-c1.jpg?v=00518bf58fOverview | JEE Chemistry (English)How to use the Chemical Bonding unit problem bank: Part A as a 40-minute JEE Main test, Part B JEE Advanced problems that join two or three ideas, Part C statements where one word flips the answer, the unit test recall drill, and two solved problems: the lattice enthalpy of CaO from the Born–Haber cycle, and the O–H bond moment of water from its dipole moment.https://rankdeterminant.com/media/v/chem-u3-ch8-c1.mp4?v=00518bf58f4832026-10-14yes https://rankdeterminant.com/v/chem-u3-ch8-c2https://rankdeterminant.com/media/v/chem-u3-ch8-c2.jpg?v=a236662f79-0b2635Part A: JEE Main Level | JEE Chemistry (English)A live problem class on chemical bonding for JEE Main: covalent bonds hidden in CaC2, Na2O2 and KO2, the polarising power order of Li+, Na+, Be2+ and Mg2+, counting lone pairs with the VSEPR quick count, why CH3F cannot hydrogen bond, MO bond orders of He2+, He2, Li2 and Be2, and the lattice enthalpy of CaO from the Born-Haber cycle.https://rankdeterminant.com/media/v/chem-u3-ch8-c2.mp4?v=a236662f79-0b26355062026-10-16yes https://rankdeterminant.com/v/chem-u3-ch8-c3https://rankdeterminant.com/media/v/chem-u3-ch8-c3.jpg?v=de57f78e6e-f4a426Part B: Harder Problems | JEE Chemistry (English)Harder JEE-pattern chemical bonding problems, solved step by step: why p-dinitrobenzene has zero dipole moment but hydroquinone does not, how lone pairs squeeze the angle in SF4 and lengthen the axial bonds in ClF3, back bonding in BF3, the charge on each atom from a bond moment, and the O–H bond moment of water.https://rankdeterminant.com/media/v/chem-u3-ch8-c3.mp4?v=de57f78e6e-f4a4264812026-10-16yes https://rankdeterminant.com/v/chem-u3-ch8-c4https://rankdeterminant.com/media/v/chem-u3-ch8-c4.jpg?v=0234e45273-18f0f6Part C: Concept Checks | JEE Chemistry (English)Quick true-or-false concept checks for JEE chemical bonding, taught like a live class: why not all ionic compounds dissolve in water, why XeF2 and XeF4 have no dipole moment despite their lone pairs, when a pi bond beats a sigma bond, why only MO theory explains paramagnetic O2, hydrogen bonds against covalent bonds, and why BCl3 is a stronger Lewis acid than BF3.https://rankdeterminant.com/media/v/chem-u3-ch8-c4.mp4?v=0234e45273-18f0f65132026-10-16yes https://rankdeterminant.com/v/chem-u4-ch1-c1https://rankdeterminant.com/media/v/chem-u4-ch1-c1.jpg?v=cf6d299a3aSystems and Surroundings | JEE Chemistry (English)Open, closed and isolated systems explained from scratch: system, surroundings and boundary, diathermic, adiabatic and rigid walls, state variables, thermodynamic equilibrium, and why delta U is zero for an isolated system. Includes a two-question trick and two solved classification problems with the classic thermos and bomb calorimeter traps.https://rankdeterminant.com/media/v/chem-u4-ch1-c1.mp4?v=cf6d299a3a5072026-10-14yes https://rankdeterminant.com/v/chem-u4-ch1-c2https://rankdeterminant.com/media/v/chem-u4-ch1-c2.jpg?v=a01784e619-8d277cState Functions and Kinds of Property | JEE Chemistry (English)What a state function is and why its change depends only on the initial and final states, why heat and work are path functions while q + w = delta U is fixed, extensive vs intensive properties, the topper's ratio rule for density, molar and specific quantities, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u4-ch1-c2.mp4?v=a01784e619-8d277c5192026-10-16yes https://rankdeterminant.com/v/chem-u4-ch1-c3https://rankdeterminant.com/media/v/chem-u4-ch1-c3.jpg?v=d815633e42-99524fHeat, Work and the First Law | JEE Chemistry (English)The first law of thermodynamics, delta U = q + w, with the IUPAC sign convention for heat and work, pressure-volume work w = -P(ext) delta V, litre atmosphere to joules, the constant-volume, adiabatic and cycle cases, why physics books write q - W, and two JEE-style solved problems with the classic sign and unit traps.https://rankdeterminant.com/media/v/chem-u4-ch1-c3.mp4?v=d815633e42-99524f4952026-10-16yes https://rankdeterminant.com/v/chem-u4-ch1-c4https://rankdeterminant.com/media/v/chem-u4-ch1-c4.jpg?v=b6e3326831-c5ce9aHeat Capacity and Enthalpy | JEE Chemistry (English)Heat capacity, molar heat capacity and specific heat; heat at constant volume (q = delta U = n Cv delta T) and at constant pressure (q = delta H = n Cp delta T); why Cp is greater than Cv and Cp - Cv = R; Cv, Cp and gamma for monatomic, diatomic and triatomic ideal gases; enthalpy H = U + PV; and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u4-ch1-c4.mp4?v=b6e3326831-c5ce9a4812026-10-16yes https://rankdeterminant.com/v/chem-u4-ch2-c1https://rankdeterminant.com/media/v/chem-u4-ch2-c1.jpg?v=a2d147f18a-99b157Irreversible Work and Free Expansion | JEE Chemistry (English)How to find the work done in an irreversible expansion or compression of an ideal gas: w = -P(ext)(V2 - V1) against a constant external pressure, why only the external pressure counts, multi-step processes and why more steps give more work, free expansion into a vacuum where w, q, delta U and delta H are all zero, and two JEE-style solved problems with the gas-pressure trap.https://rankdeterminant.com/media/v/chem-u4-ch2-c1.mp4?v=a2d147f18a-99b1575182026-10-16yes https://rankdeterminant.com/v/chem-u4-ch2-c2https://rankdeterminant.com/media/v/chem-u4-ch2-c2.jpg?v=887e49eb2bReversible Isothermal Processes | JEE Chemistry (English)Work done in a reversible isothermal process of an ideal gas: w = -nRT ln(V2/V1) = -2.303 nRT log(P1/P2), what reversible really means, why delta U and delta H are zero so q = -w, why reversible expansion gives the maximum work, the pressure-ratio trap, and two solved numericals including finding the final volume.https://rankdeterminant.com/media/v/chem-u4-ch2-c2.mp4?v=887e49eb2b5052026-10-14yes https://rankdeterminant.com/v/chem-u4-ch2-c3https://rankdeterminant.com/media/v/chem-u4-ch2-c3.jpg?v=038b75dc97Isochoric and Isobaric Processes | JEE Chemistry (English)Isochoric and isobaric processes of an ideal gas: why w = 0 at constant volume so q = ΔU = nCvΔT while ΔH is still nCpΔT, why w = -nRΔT and q = ΔH at constant pressure, the topper's ratio q : ΔU : (-w) = Cp : Cv : R (7:5:2 diatomic, 5:3:2 monatomic), and two JEE-style solved problems on helium with the ΔH trap.https://rankdeterminant.com/media/v/chem-u4-ch2-c3.mp4?v=038b75dc975222026-10-14yes https://rankdeterminant.com/v/chem-u4-ch2-c4https://rankdeterminant.com/media/v/chem-u4-ch2-c4.jpg?v=76f28d9b81-9205b4Reversible Adiabatic Processes | JEE Chemistry (English)Reversible adiabatic changes of an ideal gas: why q = 0 gives delta U = w, the three laws PV^γ, TV^(γ-1) and T^γ P^(1-γ) constant, why the adiabat is steeper than the isotherm, the work formulas nCv(T2 - T1) and (P2V2 - P1V1)/(γ - 1), the Boyle's-law and Celsius traps, and two solved numericals on final temperature, final pressure and work.https://rankdeterminant.com/media/v/chem-u4-ch2-c4.mp4?v=76f28d9b81-9205b45232026-10-16yes https://rankdeterminant.com/v/chem-u4-ch2-c5https://rankdeterminant.com/media/v/chem-u4-ch2-c5.jpg?v=3e555a3649-b6d7a8Irreversible Adiabatic Processes and Comparisons | JEE Chemistry (English)How to find the final temperature when an ideal gas expands or is compressed adiabatically against a constant external pressure: the key equation nCv(T2 - T1) = -Pext(V2 - V1), why PV^gamma = constant fails here, why an irreversible expansion ends warmer and an irreversible compression hotter than the reversible one, free expansion, and two solved JEE-style numericals.https://rankdeterminant.com/media/v/chem-u4-ch2-c5.mp4?v=3e555a3649-b6d7a85362026-10-16yes https://rankdeterminant.com/v/chem-u4-ch2-c6https://rankdeterminant.com/media/v/chem-u4-ch2-c6.jpg?v=b99cb42a22Work on a P–V Diagram | JEE Chemistry (English)Work on a P-V diagram for an ideal gas: why the work done by the gas is the area under its path, why an isochoric (vertical) line does no work, the trapezium formula for a straight-line path, why the net work round a cycle is the enclosed area (positive clockwise, negative anticlockwise), why q equals the work for any cycle since delta U is zero, and two JEE-style solved problems.https://rankdeterminant.com/media/v/chem-u4-ch2-c6.mp4?v=b99cb42a225052026-10-14yes https://rankdeterminant.com/v/chem-u4-ch3-c1https://rankdeterminant.com/media/v/chem-u4-ch3-c1.jpg?v=253ceb1915-69322fΔH and ΔU of Reactions | JEE Chemistry (English)How the ΔH and ΔU of a reaction are related: why a bomb calorimeter at constant volume gives ΔU while constant pressure gives ΔH, the formula ΔH = ΔU + ΔngRT with only gaseous moles counted, the topper's value RT = 2.48 kJ/mol at 298 K, the solid and liquid-water traps, and two JEE-style solved problems on N2O4 and the combustion of methane.https://rankdeterminant.com/media/v/chem-u4-ch3-c1.mp4?v=253ceb1915-69322f5022026-10-16yes https://rankdeterminant.com/v/chem-u4-ch3-c2https://rankdeterminant.com/media/v/chem-u4-ch3-c2.jpg?v=a541251db5-c11514Standard Enthalpies of Formation | JEE Chemistry (English)What the standard enthalpy of formation means: the standard state at 1 bar and 298 K, one mole from elements in their reference states, why O2, graphite and rhombic sulfur have zero but ozone and diamond do not, the products minus reactants formula with coefficients, reversing and multiplying equations, why states matter, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u4-ch3-c2.mp4?v=a541251db5-c115145112026-10-16yes https://rankdeterminant.com/v/chem-u4-ch3-c3https://rankdeterminant.com/media/v/chem-u4-ch3-c3.jpg?v=a623050ed4-e60c9bHess's Law | JEE Chemistry (English)Hess's law taught like a live JEE class: why delta H is the same by every route because enthalpy is a state function, how to add, reverse and multiply thermochemical equations, why combustion data go reactants minus products, the classic sign traps, and two solved problems: the enthalpy of formation of SO3 and of CS2.https://rankdeterminant.com/media/v/chem-u4-ch3-c3.mp4?v=a623050ed4-e60c9b5102026-10-16yes https://rankdeterminant.com/v/chem-u4-ch3-c4https://rankdeterminant.com/media/v/chem-u4-ch3-c4.jpg?v=7321f01c1c-b4b292Combustion and Calorific Value | JEE Chemistry (English)Enthalpy of combustion explained: one mole burnt completely in oxygen, always negative, with CO2 gas and liquid water as the standard products. Learn to turn kJ per mole into calorific value in kJ per gram, see why hydrogen wins per gram yet is awkward to use, and solve two JEE-style fuel problems, including the joules versus kilojoules trap.https://rankdeterminant.com/media/v/chem-u4-ch3-c4.mp4?v=7321f01c1c-b4b2924802026-10-16yes https://rankdeterminant.com/v/chem-u4-ch3-c5https://rankdeterminant.com/media/v/chem-u4-ch3-c5.jpg?v=242cc9ab00-ed98eaPhase Changes and the Effect of Temperature | JEE Chemistry (English)Enthalpies of fusion, vaporisation and sublimation: why all three are positive, why delta sub H equals delta fus H plus delta vap H at the same temperature, why boiling needs far more heat than melting, why a steam scald is worse, and Kirchhoff's equation for how delta H changes with temperature, with two solved JEE-style problems and their traps.https://rankdeterminant.com/media/v/chem-u4-ch3-c5.mp4?v=242cc9ab00-ed98ea5092026-10-16yes https://rankdeterminant.com/v/chem-u4-ch4-c1https://rankdeterminant.com/media/v/chem-u4-ch4-c1.jpg?v=57e4bc9448-6a68c9Bond Enthalpy and Atomisation | JEE Chemistry (English)What bond dissociation enthalpy means, why the four C–H bonds of methane need different energies and how the mean bond enthalpy averages them, the enthalpy of atomisation (4 × mean C–H for methane, sublimation for a metal), the half-bond-enthalpy trick for ΔfH of gaseous atoms, and two JEE-style solved problems, including ΔfH of water vapour from bond enthalpies.https://rankdeterminant.com/media/v/chem-u4-ch4-c1.mp4?v=57e4bc9448-6a68c95432026-10-16yes https://rankdeterminant.com/v/chem-u4-ch4-c2https://rankdeterminant.com/media/v/chem-u4-ch4-c2.jpg?v=497c02ad72Reaction Enthalpies from Bond Enthalpies | JEE Chemistry (English)How to estimate the enthalpy of a gaseous reaction from bond enthalpies: bonds broken minus bonds formed, why breaking a bond takes in energy and forming one gives it out, why you count only the bonds that change, resonance energy of benzene, and two solved JEE-style problems with the classic sign and bond-counting traps.https://rankdeterminant.com/media/v/chem-u4-ch4-c2.mp4?v=497c02ad725142026-10-14yes https://rankdeterminant.com/v/chem-u4-ch4-c3https://rankdeterminant.com/media/v/chem-u4-ch4-c3.jpg?v=552544c3bf-3b0f6bLattice Enthalpy and the Born–Haber Cycle | JEE Chemistry (English)Lattice enthalpy explained: what it is, why it is negative, why it cannot be measured directly, and how the Born–Haber cycle and Hess's law give it. Trends with ionic charge and size, melting points, and two solved JEE-style problems for NaCl and MgO, with the classic traps of half bond enthalpy, two ionisations and the positive second electron gain.https://rankdeterminant.com/media/v/chem-u4-ch4-c3.mp4?v=552544c3bf-3b0f6b5542026-10-16yes https://rankdeterminant.com/v/chem-u4-ch4-c4https://rankdeterminant.com/media/v/chem-u4-ch4-c4.jpg?v=8fc6fa5348Solution, Hydration and Dilution | JEE Chemistry (English)Enthalpy of solution as lattice dissociation plus hydration, why some salts cool the water and others warm it, why small highly charged ions are hydrated most strongly, why acid is always added to water, and the Hess's law route to the hydration enthalpy of a salt, with two solved JEE-style problems and their classic sign traps.https://rankdeterminant.com/media/v/chem-u4-ch4-c4.mp4?v=8fc6fa53485512026-10-14yes https://rankdeterminant.com/v/chem-u4-ch4-c5https://rankdeterminant.com/media/v/chem-u4-ch4-c5.jpg?v=892515021aNeutralisation and Ionisation | JEE Chemistry (English)Why every strong acid with every strong base gives minus 57.1 kJ per mole of water, why a weak acid or weak base gives less heat, how to find the enthalpy of ionisation of a weak acid, why HF gives more heat, the ionisation enthalpy of water, and two solved JEE-style problems with the classic sign and mole-counting traps.https://rankdeterminant.com/media/v/chem-u4-ch4-c5.mp4?v=892515021a5302026-10-14yes https://rankdeterminant.com/v/chem-u4-ch5-c1https://rankdeterminant.com/media/v/chem-u4-ch5-c1.jpg?v=1e10684918Spontaneity and the Second Law | JEE Chemistry (English)What makes a process spontaneous, why spontaneous does not mean fast, why the first law cannot decide the direction, entropy as a measure of dispersal, delta S = q rev / T, the second law (the entropy of the universe increases), the Kelvin–Planck and Clausius statements, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/chem-u4-ch5-c1.mp4?v=1e106849185182026-10-14yes https://rankdeterminant.com/v/chem-u4-ch5-c2https://rankdeterminant.com/media/v/chem-u4-ch5-c2.jpg?v=43440e3490Entropy Changes of Physical Processes | JEE Chemistry (English)How to calculate the entropy change of physical processes: delta S equals delta H over T at the melting or boiling point, Trouton's rule, isothermal expansion of an ideal gas, heating at constant pressure or volume, entropy of mixing and the reversible adiabatic case, with two solved JEE-style problems and the classic unit and kelvin traps.https://rankdeterminant.com/media/v/chem-u4-ch5-c2.mp4?v=43440e34905092026-10-14yes https://rankdeterminant.com/v/chem-u4-ch5-c3https://rankdeterminant.com/media/v/chem-u4-ch5-c3.jpg?v=ce4edca859Entropy of the Surroundings and of the Universe | JEE Chemistry (English)How to find the entropy change of the surroundings (minus delta H of the system over T at constant pressure), why an exothermic reaction helps more at low temperature, the total entropy of the universe as the test of spontaneity and equilibrium, and two solved JEE-style problems, including supercooled water freezing, with the classic sign and unit traps.https://rankdeterminant.com/media/v/chem-u4-ch5-c3.mp4?v=ce4edca8595072026-10-14yes https://rankdeterminant.com/v/chem-u4-ch5-c4https://rankdeterminant.com/media/v/chem-u4-ch5-c4.jpg?v=efa7c3ba9a-6df609The Third Law and Standard Entropies | JEE Chemistry (English)What the third law of thermodynamics says about a perfect crystal at zero kelvin, why standard entropies are absolute and an element's S° is not zero, how S° changes with phase, molar mass, complexity and structure, how to find the entropy change of a reaction from tables, the residual entropy of CO, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/chem-u4-ch5-c4.mp4?v=efa7c3ba9a-6df6094982026-10-17yes https://rankdeterminant.com/v/chem-u4-ch6-c1https://rankdeterminant.com/media/v/chem-u4-ch6-c1.jpg?v=8728493873Gibbs Energy and Spontaneity | JEE Chemistry (English)Gibbs energy explained: why delta G = delta H − T delta S decides spontaneity at constant temperature and pressure, its link to the total entropy, the four sign cases of delta H and delta S with the switch temperature delta H / delta S, why minus delta G is the maximum useful work, and two solved JEE-style problems with the classic kJ versus J unit trap.https://rankdeterminant.com/media/v/chem-u4-ch6-c1.mp4?v=87284938736052026-10-14yes https://rankdeterminant.com/v/chem-u4-ch6-c2https://rankdeterminant.com/media/v/chem-u4-ch6-c2.jpg?v=120314d414Standard Gibbs Energies | JEE Chemistry (English)How to use the standard Gibbs energy of formation: why it is zero for elements, how to find the standard Gibbs energy of a reaction as products minus reactants or from delta H minus T delta S, why a positive value means unstable yet NO, ethyne and diamond still last, and two solved JEE-style problems with the coefficient, units and sign traps.https://rankdeterminant.com/media/v/chem-u4-ch6-c2.mp4?v=120314d4145312026-10-14yes https://rankdeterminant.com/v/chem-u4-ch6-c3https://rankdeterminant.com/media/v/chem-u4-ch6-c3.jpg?v=33f6af99a7-ddd2fbGibbs Energy and the Equilibrium Constant | JEE Chemistry (English)How Gibbs energy is linked to the equilibrium constant: why G is lowest at equilibrium, ΔG = ΔG° + RT ln Q, ΔG° = −2.303RT log K and the 5.71 kJ/mol shortcut at 298 K, comparing Q with K for the direction of reaction, the van't Hoff equation for how K changes with temperature, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/chem-u4-ch6-c3.mp4?v=33f6af99a7-ddd2fb5122026-10-16yes https://rankdeterminant.com/v/chem-u4-ch6-c4https://rankdeterminant.com/media/v/chem-u4-ch6-c4.jpg?v=5a770d8d61Gibbs Energy in Cells and Coupled Reactions | JEE Chemistry (English)Delta G equals minus nFE explained: how the Gibbs energy of a galvanic cell links to its e.m.f., the maximum electrical work a cell can give, E naught equals 0.059 over n log K at 298 K, and how coupling with ATP hydrolysis or with carbon drives a non-spontaneous reaction. Two solved JEE-style problems: the Daniell cell and reducing zinc oxide with carbon, with the n, units and sign traps.https://rankdeterminant.com/media/v/chem-u4-ch6-c4.mp4?v=5a770d8d615172026-10-14yes https://rankdeterminant.com/v/chem-u4-ch7-c1https://rankdeterminant.com/media/v/chem-u4-ch7-c1.jpg?v=f91a3adb7cOverview | JEE Chemistry (English)How to use the Chemical Thermodynamics mixed problem sets like a real JEE Main paper: three timed sets of fifteen original problems mixing the first law, gas processes, thermochemistry, bond enthalpies, entropy and Gibbs energy, 25 minutes per set, the values of R and F, and two solved problems: Gibbs energy with the kJ and J trap, and an adiabatic expansion against a constant pressure.https://rankdeterminant.com/media/v/chem-u4-ch7-c1.mp4?v=f91a3adb7c4982026-10-14yes https://rankdeterminant.com/v/chem-u4-ch7-c2https://rankdeterminant.com/media/v/chem-u4-ch7-c2.jpg?v=332c6353b5-253daaSet 1 | JEE Chemistry (English)A live problem class on chemical thermodynamics for JEE Main: the first law sign convention, delta U from Cv for an ideal gas heated at constant pressure, delta H minus delta U from delta ng RT for propane combustion, reaction enthalpy from bond enthalpies, and the enthalpy of formation of propane from combustion data, with the sign trap explained.https://rankdeterminant.com/media/v/chem-u4-ch7-c2.mp4?v=332c6353b5-253daa4962026-10-16yes https://rankdeterminant.com/v/chem-u4-ch7-c3https://rankdeterminant.com/media/v/chem-u4-ch7-c3.jpg?v=601ac4b4f1-1be7a6Set 2 | JEE Chemistry (English)Gibbs energy problems from Thermodynamics Set 2, solved like a JEE Main topper: the temperature above which a reaction becomes spontaneous, the maximum electrical work from ΔG, ΔG° from the equilibrium constant K, and why a reaction with a negative ΔG° can still run backward when Q is greater than K. Includes the kJ to J trap and the 5.71 shortcut at 298 K.https://rankdeterminant.com/media/v/chem-u4-ch7-c3.mp4?v=601ac4b4f1-1be7a64872026-10-16yes https://rankdeterminant.com/v/chem-u4-ch7-c4https://rankdeterminant.com/media/v/chem-u4-ch7-c4.jpg?v=82b0962ed8-df071cSet 3 | JEE Chemistry (English)A live JEE Main problem class on chemical thermodynamics: the first law sign convention in a cycle, why the free expansion of an ideal gas has q, w, delta U and delta H all zero yet still happens (entropy rises), the enthalpy of formation of HBr from bond enthalpies, a melting point from T = delta H over delta S with the kJ and J trap, and the work of a two-step isothermal expansion.https://rankdeterminant.com/media/v/chem-u4-ch7-c4.mp4?v=82b0962ed8-df071c4952026-10-16yes https://rankdeterminant.com/v/chem-u4-ch8-c1https://rankdeterminant.com/media/v/chem-u4-ch8-c1.jpg?v=d6942771cbOverview | JEE Chemistry (English)How to use the Chemical Thermodynamics unit problem bank: Part A at JEE Main level, harder multi-step problems in Part B, concept checks in Part C, the constants R, F and 2.303RT = 5.71 kJ/mol at 298 K, and two solved problems: the sign trap in the first law, and K for the ammonia synthesis at 500 K from the standard enthalpy and entropy changes.https://rankdeterminant.com/media/v/chem-u4-ch8-c1.mp4?v=d6942771cb5012026-10-14yes https://rankdeterminant.com/v/chem-u4-ch8-c2https://rankdeterminant.com/media/v/chem-u4-ch8-c2.jpg?v=fd4c974406Part A: JEE Main Level | JEE Chemistry (English)A live problem class on chemical thermodynamics for JEE Main: the first law and its IUPAC sign convention, delta H versus delta U from the change in moles of gas, when Gibbs energy makes a reaction spontaneous, the kilojoule and joule trap in T = delta H over delta S, and reversible isothermal work on an ideal gas, all from the unit problem bank.https://rankdeterminant.com/media/v/chem-u4-ch8-c2.mp4?v=fd4c9744064672026-10-14yes https://rankdeterminant.com/v/chem-u4-ch8-c3https://rankdeterminant.com/media/v/chem-u4-ch8-c3.jpg?v=7657ea555bPart B: Harder Problems | JEE Chemistry (English)Harder JEE-pattern thermodynamics problems, solved step by step: why work changes with the path while delta U does not, the work on an adiabatic path between the same two states, why q = 0 does not mean delta S = 0 for an irreversible change, and the entropy change of an ideal gas from a two-step reversible path.https://rankdeterminant.com/media/v/chem-u4-ch8-c3.mp4?v=7657ea555b5132026-10-14yes https://rankdeterminant.com/v/chem-u4-ch8-c4https://rankdeterminant.com/media/v/chem-u4-ch8-c4.jpg?v=3762efa222Part C: Concept Checks | JEE Chemistry (English)Short why questions from JEE chemical thermodynamics, taught like a live class: why work is not a property of a gas, why reversible expansion gives maximum work, why delta U is zero for an isothermal ideal gas, why adiabatic expansion cools, why the standard enthalpy of formation of an element in its reference state is zero but its entropy is not, why an endothermic process can be spontaneous, and why entropy rises in a free expansion.https://rankdeterminant.com/media/v/chem-u4-ch8-c4.mp4?v=3762efa2225232026-10-14yes https://rankdeterminant.com/v/chem-u5-ch1-c1https://rankdeterminant.com/media/v/chem-u5-ch1-c1.jpg?v=f3ee602456Types of Solutions | JEE Chemistry (English)What a solution is, how to tell the solvent from the solute (even in a thick syrup), the nine types of binary solutions from gas in gas to solid in solid with everyday examples, the like dissolves like rule, and two JEE-style solved problems: classifying brass, humid air and sodium amalgam, and why iodine dissolves in CCl4 and in aqueous KI.https://rankdeterminant.com/media/v/chem-u5-ch1-c1.mp4?v=f3ee6024565232026-10-14yes https://rankdeterminant.com/v/chem-u5-ch1-c2https://rankdeterminant.com/media/v/chem-u5-ch1-c2.jpg?v=11c2d4adadConcentration Terms and their Interconversion | JEE Chemistry (English)Every concentration term for JEE Chemistry: mass percentage, ppm, mole fraction, molarity and molality, which ones change with temperature, the formulas to convert molarity to molality and mass percent to molarity, the solvent-versus-solution trap, and two solved numericals including 98% sulphuric acid.https://rankdeterminant.com/media/v/chem-u5-ch1-c2.mp4?v=11c2d4adad5152026-10-14yes https://rankdeterminant.com/v/chem-u5-ch1-c3https://rankdeterminant.com/media/v/chem-u5-ch1-c3.jpg?v=fb1d3212c4Solubility of Solids and Gases; Henry's Law | JEE Chemistry (English)Henry's law explained for JEE Chemistry: what solubility and a saturated solution mean, how temperature changes the solubility of solids (endothermic versus exothermic, Le Chatelier), why gases dissolve more under pressure and less when warm, p = KH x and why a larger KH means a less soluble gas, soda, scuba divers and altitude, where Henry's law fails, and two solved numericals.https://rankdeterminant.com/media/v/chem-u5-ch1-c3.mp4?v=fb1d3212c45342026-10-14yes https://rankdeterminant.com/v/chem-u5-ch2-c1https://rankdeterminant.com/media/v/chem-u5-ch2-c1.jpg?v=a297d4f134Vapour Pressure of Liquids | JEE Chemistry (English)What vapour pressure is, why it depends only on the nature of the liquid and the temperature (not on the amount), how weaker intermolecular forces raise it, the Clausius-Clapeyron equation, why water boils below 100 °C on a mountain and above it in a pressure cooker, and two JEE-style solved problems: comparing two liquids from their boiling points, and finding the enthalpy of vaporisation.https://rankdeterminant.com/media/v/chem-u5-ch2-c1.mp4?v=a297d4f1345122026-10-14yes https://rankdeterminant.com/v/chem-u5-ch2-c2https://rankdeterminant.com/media/v/chem-u5-ch2-c2.jpg?v=deeff8387bRaoult's Law for Two Volatile Liquids | JEE Chemistry (English)Raoult's law for a solution of two volatile liquids: partial vapour pressure p = x p°, the total pressure as a straight line in mole fraction, the vapour composition y = p/P, the 1/P formula when the vapour is given, why the vapour is richer in the more volatile liquid, fractional distillation, the x-versus-y trap, and two solved JEE-style numericals.https://rankdeterminant.com/media/v/chem-u5-ch2-c2.mp4?v=deeff8387b4702026-10-14yes https://rankdeterminant.com/v/chem-u5-ch2-c3https://rankdeterminant.com/media/v/chem-u5-ch2-c3.jpg?v=f9f43a507eSolutions of Non-volatile Solutes | JEE Chemistry (English)Why a non-volatile solute such as glucose lowers the vapour pressure of water, how Raoult's law gives the relative lowering of vapour pressure equal to the mole fraction of the solute, the dilute-solution approximation and when to avoid it, why urea and sucrose at the same mole fraction give equal vapour pressures, Raoult's law as a special case of Henry's law, and two JEE-style solved problems.https://rankdeterminant.com/media/v/chem-u5-ch2-c3.mp4?v=f9f43a507e4852026-10-14yes https://rankdeterminant.com/v/chem-u5-ch3-c1https://rankdeterminant.com/media/v/chem-u5-ch3-c1.jpg?v=61d1cac6e8Ideal Solutions | JEE Chemistry (English)What makes a solution ideal: Raoult's law obeyed by every component at every composition and temperature, A–B attractions equal to A–A and B–B, zero enthalpy and volume of mixing, positive entropy and negative Gibbs energy of mixing, nearly ideal pairs such as benzene + toluene, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u5-ch3-c1.mp4?v=61d1cac6e85192026-10-14yes https://rankdeterminant.com/v/chem-u5-ch3-c2https://rankdeterminant.com/media/v/chem-u5-ch3-c2.jpg?v=789cb611c9Positive and Negative Deviations | JEE Chemistry (English)Positive and negative deviations from Raoult's law, explained like a live class: weaker or stronger A–B attractions, vapour pressure above or below the Raoult line, the signs of the enthalpy and volume of mixing, the standard examples to learn, the ethanol–water hydrogen-bond trap, acetone + chloroform, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u5-ch3-c2.mp4?v=789cb611c95372026-10-14yes https://rankdeterminant.com/v/chem-u5-ch3-c3https://rankdeterminant.com/media/v/chem-u5-ch3-c3.jpg?v=2ddda26269Azeotropes | JEE Chemistry (English)What an azeotrope is: a constant-boiling mixture whose vapour has the same composition as the liquid, so fractional distillation cannot separate it. Minimum-boiling azeotropes from large positive deviation (95% ethanol–water, rectified spirit), maximum-boiling ones from large negative deviation (68% HNO3–water, 20% HCl–water), and two JEE-style solved problems with the classic trap.https://rankdeterminant.com/media/v/chem-u5-ch3-c3.mp4?v=2ddda262694982026-10-14yes https://rankdeterminant.com/v/chem-u5-ch4-c1https://rankdeterminant.com/media/v/chem-u5-ch4-c1.jpg?v=dc41997f0e-72795aColligative Properties; Lowering of Vapour Pressure | JEE Chemistry (English)What makes a property colligative, the four colligative properties, why vapour pressure itself is not one but its relative lowering is, the formula (p° − p)/p° = x_B ≈ n_B/n_A ≈ mM_A/1000 for a dilute solution of a non-volatile solute, and two JEE-style solved problems: urea in water, and a molar mass from a vapour pressure at 373 K.https://rankdeterminant.com/media/v/chem-u5-ch4-c1.mp4?v=dc41997f0e-72795a5022026-10-16yes https://rankdeterminant.com/v/chem-u5-ch4-c2https://rankdeterminant.com/media/v/chem-u5-ch4-c2.jpg?v=d24a5c60e7-9826edElevation of Boiling Point | JEE Chemistry (English)Elevation of boiling point explained like a live class: why a non-volatile solute lowers the vapour pressure so the solution boils later, delta Tb = Kb m, molality per kilogram of solvent, the ebullioscopic constant Kb and why it depends only on the solvent, the molar mass formula, the grams-or-kilograms trap, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u5-ch4-c2.mp4?v=d24a5c60e7-9826ed4882026-10-16yes https://rankdeterminant.com/v/chem-u5-ch4-c3https://rankdeterminant.com/media/v/chem-u5-ch4-c3.jpg?v=5b4ef29b07-34b845Depression of Freezing Point | JEE Chemistry (English)Depression of freezing point explained: why a solution freezes below the pure solvent, delta Tf = Kf m with molality, the cryoscopic constant Kf (water 1.86, benzene 5.12, camphor about 40), the molar mass formula, Kf from the enthalpy of fusion, why only the solvent freezes out, and two JEE-style solved problems: ethylene glycol in water, and how much ice separates.https://rankdeterminant.com/media/v/chem-u5-ch4-c3.mp4?v=5b4ef29b07-34b8454852026-10-16yes https://rankdeterminant.com/v/chem-u5-ch4-c4https://rankdeterminant.com/media/v/chem-u5-ch4-c4.jpg?v=7cea46a131Osmosis and Osmotic Pressure | JEE Chemistry (English)Osmosis through a semipermeable membrane, osmotic pressure as the pressure that stops the flow (π = hρg in the U-tube), the van 't Hoff equation π = CRT with molarity and kelvin, molar mass M = wRT/πV, isotonic, hypertonic and hypotonic solutions, reverse osmosis, why osmotic pressure is best for polymers, and two JEE-style solved problems: 0.1 M glucose at 27 °C and the molar mass of a polymer.https://rankdeterminant.com/media/v/chem-u5-ch4-c4.mp4?v=7cea46a1314842026-10-14yes https://rankdeterminant.com/v/chem-u5-ch5-c1https://rankdeterminant.com/media/v/chem-u5-ch5-c1.jpg?v=db2a1b2945The van't Hoff Factor | JEE Chemistry (English)The van't Hoff factor i explained like a live class: why dissociation and association give abnormal molar masses, i as observed over calculated and normal over observed molar mass, i = 1 + (n - 1) alpha for dissociation, i = 1 - (1 - 1/n) alpha for association, complete dimerisation, the i greater or less than one trap, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u5-ch5-c1.mp4?v=db2a1b29455452026-10-14yes https://rankdeterminant.com/v/chem-u5-ch5-c2https://rankdeterminant.com/media/v/chem-u5-ch5-c2.jpg?v=4a5172ea0eColligative Properties of Electrolytes | JEE Chemistry (English)Colligative properties of electrolytes explained like a live class: the van 't Hoff factor i in delta Tb = i Kb m, delta Tf = i Kf m and π = iCRT, why you compare i × m and never molality alone, isotonic solutions with i1C1 = i2C2, the degree of dissociation and Ka of a weak acid from its freezing point, and two solved JEE-style problems: Na2SO4 vs NaCl boiling points and a weak monobasic acid.https://rankdeterminant.com/media/v/chem-u5-ch5-c2.mp4?v=4a5172ea0e5252026-10-14yes https://rankdeterminant.com/v/chem-u5-ch6-c1https://rankdeterminant.com/media/v/chem-u5-ch6-c1.jpg?v=e01d78cd67-a581d2Overview | JEE Chemistry (English)How to use the mixed JEE Main-pattern problems on solutions: the five kinds of question (concentrations, Henry's law, Raoult's law for two volatile liquids, freezing point and osmotic pressure, van 't Hoff factor), the default constants Kf = 1.86, Kb = 0.52 and R = 0.083, and two solved problems: the freezing point of ethylene glycol in water, and how much ice separates from a glucose solution.https://rankdeterminant.com/media/v/chem-u5-ch6-c1.mp4?v=e01d78cd67-a581d25042026-10-16yes https://rankdeterminant.com/v/chem-u5-ch6-c2https://rankdeterminant.com/media/v/chem-u5-ch6-c2.jpg?v=2b9ddc9523Mixed Problems: Set 1 | JEE Chemistry (English)Mixed JEE Main-pattern problems on solutions, set 1: Raoult's law for two volatile liquids and the composition of the vapour, adding the moles of two solutes for the freezing point, the van 't Hoff factor of a partly dissociated salt, and one freezing point that gives the boiling point and the vapour pressure, with the classic traps.https://rankdeterminant.com/media/v/chem-u5-ch6-c2.mp4?v=2b9ddc95234862026-10-14yes https://rankdeterminant.com/v/chem-u5-ch6-c3https://rankdeterminant.com/media/v/chem-u5-ch6-c3.jpg?v=56556114b6Mixed Problems: Set 2 | JEE Chemistry (English)Set 2 of the mixed JEE Main-pattern problems on solutions: the four ideas it tests (Raoult's law, Henry's law, freezing point, van 't Hoff factor), the molar mass formula from depression of freezing point, i for dissociation and association, and two solved problems: the molecular formula of sulphur from benzene's freezing point, and the percentage of acetic acid present as dimers in benzene.https://rankdeterminant.com/media/v/chem-u5-ch6-c3.mp4?v=56556114b65092026-10-14yes https://rankdeterminant.com/v/chem-u5-ch6-c4https://rankdeterminant.com/media/v/chem-u5-ch6-c4.jpg?v=4e894316f6-33162aMixed Problems: Set 3 | JEE Chemistry (English)Mixed JEE Main-pattern problems on solutions, set 3: the ratio of boiling point elevations from the van 't Hoff factor, osmotic pressure to freezing point, the degree of dissociation of an MX2 salt from its boiling point, and the vapour that gets richer in the more volatile liquid when it is condensed and re-equilibrated, with the classic traps.https://rankdeterminant.com/media/v/chem-u5-ch6-c4.mp4?v=4e894316f6-33162a4922026-10-16yes https://rankdeterminant.com/v/chem-u5-ch7-c1https://rankdeterminant.com/media/v/chem-u5-ch7-c1.jpg?v=120b555d65Overview | JEE Chemistry (English)How to use the Solutions unit problem bank: Part A as a 30-minute test after Chapters 1 to 6, naming the law (Henry, Raoult, van 't Hoff factor) before you calculate, Part B assertion and statement checks such as the entropy of an ideal solution, and two solved problems: total pressure and vapour composition of an ideal solution, and two sugar solutions sharing water in a sealed box.https://rankdeterminant.com/media/v/chem-u5-ch7-c1.mp4?v=120b555d655302026-10-14yes https://rankdeterminant.com/v/chem-u5-ch7-c2https://rankdeterminant.com/media/v/chem-u5-ch7-c2.jpg?v=fd9aa3e46fPart A: Mixed Problems | JEE Chemistry (English)A live problem class on solutions for JEE Main: mole fraction and molality of glucose in water, the mass of CO2 dissolved by Henry's law, which 1 molal solution boils highest using the van 't Hoff factor, Raoult's law total pressure and vapour composition, and the Ka of a weak acid from its boiling point, with the classic traps in each.https://rankdeterminant.com/media/v/chem-u5-ch7-c2.mp4?v=fd9aa3e46f5192026-10-14yes https://rankdeterminant.com/v/chem-u5-ch7-c3https://rankdeterminant.com/media/v/chem-u5-ch7-c3.jpg?v=a1f89e4d49Part B: Concept Checks | JEE Chemistry (English)Quick concept checks for JEE solutions, taught like a live class: how to crack two-statement and assertion–reason questions, why a non-volatile solute raises the boiling point, why 0.1 M glucose and urea are isotonic but 0.1 M NaCl is not, why a cucumber shrinks in brine, molality against molarity, Henry's law constant, entropy of ideal mixing and maximum-boiling azeotropes.https://rankdeterminant.com/media/v/chem-u5-ch7-c3.mp4?v=a1f89e4d495432026-10-14yes https://rankdeterminant.com/v/chem-u5-ch7-c4https://rankdeterminant.com/media/v/chem-u5-ch7-c4.jpg?v=a5065eb657Part C: Advanced-Level Problems | JEE Chemistry (English)A live problem class on advanced solutions problems for JEE: why water leaves pure water for a solution in a closed container, the van 't Hoff factor of a cobalt complex from its freezing point, the freezing point of water with one solute dissociating and another dimerising, pure vapour pressures from the vapour composition by Raoult's law, and two sugar solutions sharing water in a sealed box, with the classic traps.https://rankdeterminant.com/media/v/chem-u5-ch7-c4.mp4?v=a5065eb6575302026-10-14yes https://rankdeterminant.com/v/chem-u6-ch1-c1https://rankdeterminant.com/media/v/chem-u6-ch1-c1.jpg?v=39a8636405Dynamic Equilibrium | JEE Chemistry (English)What dynamic equilibrium really means for JEE Chemistry: forward rate equals backward rate in a closed system, why equilibrium is dynamic and not static (the deuterium experiment), concentrations constant but not equal, what a catalyst does and does not change, physical equilibria such as ice and water, and two solved questions with the classic traps.https://rankdeterminant.com/media/v/chem-u6-ch1-c1.mp4?v=39a86364054812026-10-14yes https://rankdeterminant.com/v/chem-u6-ch1-c2https://rankdeterminant.com/media/v/chem-u6-ch1-c2.jpg?v=ae69a5c83d-d4867cThe Law of Mass Action and K_c | JEE Chemistry (English)How to write the equilibrium constant K c from the law of mass action: products over reactants, each concentration raised to its coefficient; why pure solids, pure liquids and solvent water are left out; why K changes only with temperature; units of K c from delta n; and two solved problems, including the moles versus concentration trap.https://rankdeterminant.com/media/v/chem-u6-ch1-c2.mp4?v=ae69a5c83d-d4867c5052026-10-16yes https://rankdeterminant.com/v/chem-u6-ch1-c3https://rankdeterminant.com/media/v/chem-u6-ch1-c3.jpg?v=fba1e78c06K_p and its Relation to K_c | JEE Chemistry (English)How K p, the equilibrium constant in partial pressures, is linked to K c: the ideal gas step p = [ ]RT, the formula K p = K c (RT) to the power delta n g counting gaseous moles only, which value of R to use, when K p equals K c, the mole fraction form K x, and two solved problems including the sign trap when you rearrange.https://rankdeterminant.com/media/v/chem-u6-ch1-c3.mp4?v=fba1e78c064702026-10-14yes https://rankdeterminant.com/v/chem-u6-ch1-c4https://rankdeterminant.com/media/v/chem-u6-ch1-c4.jpg?v=6e79f9e123Manipulating Equilibrium Constants | JEE Chemistry (English)How the equilibrium constant K changes with the way the equation is written: reverse the reaction and K becomes one over K, multiply the coefficients by n and K becomes K to the power n, halve it and take the square root, add reactions and multiply the constants, subtract and divide. The units change, the position of equilibrium does not. Two solved problems with the common traps.https://rankdeterminant.com/media/v/chem-u6-ch1-c4.mp4?v=6e79f9e1234902026-10-14yes https://rankdeterminant.com/v/chem-u6-ch1-c5https://rankdeterminant.com/media/v/chem-u6-ch1-c5.jpg?v=6e6e97f9b9-9c80baHeterogeneous Equilibria | JEE Chemistry (English)Heterogeneous equilibria for JEE, taught like a live class: why pure solids and liquids stay out of K, why the CO2 pressure over CaCO3 is fixed at a given temperature as long as some of each solid remains, the steam trap when writing Kp, Kp = P²/4 for NH4HS and 4P³/27 for ammonium carbamate, and two solved problems, including CaCO3 that decomposes completely.https://rankdeterminant.com/media/v/chem-u6-ch1-c5.mp4?v=6e6e97f9b9-9c80ba5002026-10-16yes https://rankdeterminant.com/v/chem-u6-ch1-c6https://rankdeterminant.com/media/v/chem-u6-ch1-c6.jpg?v=7638b35976The Reaction Quotient, and What K Tells Us | JEE Chemistry (English)Reaction quotient Q for JEE, taught like a live class: how comparing Q with K predicts the direction of a reaction, what a large or small K means, why K gives the position but not the rate, K = kf/kb for an elementary reaction, ΔG° = −RT ln K and ΔG = RT ln(Q/K), and two solved problems, including the missing-powers trap.https://rankdeterminant.com/media/v/chem-u6-ch1-c6.mp4?v=7638b359764922026-10-14yes https://rankdeterminant.com/v/chem-u6-ch2-c1https://rankdeterminant.com/media/v/chem-u6-ch2-c1.jpg?v=9f42f5c5ddCalculating Equilibrium Concentrations | JEE Chemistry (English)How to calculate equilibrium concentrations from K c: the initial, change and equilibrium table with one unknown x, dividing moles by the volume, solving for x and keeping the sensible root, the small-x shortcut when K is very small with the five percent check, and two solved problems: hydrogen and iodine, and nitric oxide from air.https://rankdeterminant.com/media/v/chem-u6-ch2-c1.mp4?v=9f42f5c5dd5162026-10-14yes https://rankdeterminant.com/v/chem-u6-ch2-c2https://rankdeterminant.com/media/v/chem-u6-ch2-c2.jpg?v=26e942603bDegree of Dissociation | JEE Chemistry (English)Degree of dissociation for JEE, taught like a live class: start from one mole, find the total moles, and get Kp in terms of alpha for PCl5, N2O4 and 2HI, why HI does not depend on pressure, the small-alpha shortcut and when it fails, and two solved N2O4 problems, including the pressure needed for only 10% dissociation.https://rankdeterminant.com/media/v/chem-u6-ch2-c2.mp4?v=26e942603b5282026-10-14yes https://rankdeterminant.com/v/chem-u6-ch2-c3https://rankdeterminant.com/media/v/chem-u6-ch2-c3.jpg?v=0326947903Vapour Density and the Degree of Dissociation | JEE Chemistry (English)Vapour density method for the degree of dissociation, taught like a live JEE class: why vapour density is proportional to one over the total moles, alpha = (D − d)/((n − 1)d) for dissociation, alpha = n(d − D)/((n − 1)d) for association, molar masses in place of vapour densities, and two solved problems on N2O4 and ammonia, including the per-mole n trap.https://rankdeterminant.com/media/v/chem-u6-ch2-c3.mp4?v=03269479034612026-10-14yes https://rankdeterminant.com/v/chem-u6-ch2-c4https://rankdeterminant.com/media/v/chem-u6-ch2-c4.jpg?v=87f94fefefLe Chatelier's Principle: Concentration, Pressure and Inert Gases | JEE Chemistry (English)Le Chatelier's principle for JEE, taught like a live class: why adding a reactant or removing a product shifts an equilibrium forward (Q less than K), why compression favours fewer moles of gas and does nothing when delta n g is zero, the inert gas trap at constant volume and at constant pressure, why soda fizzes, and two solved problems on HI and ammonia.https://rankdeterminant.com/media/v/chem-u6-ch2-c4.mp4?v=87f94fefef5602026-10-14yes https://rankdeterminant.com/v/chem-u6-ch2-c5https://rankdeterminant.com/media/v/chem-u6-ch2-c5.jpg?v=fd6edf879dEffect of Temperature, and Industrial Equilibria | JEE Chemistry (English)How temperature changes the equilibrium constant K, taught like a live JEE class: endothermic and exothermic reactions, the van't Hoff equation and the log K against 1/T graph, why a catalyst never changes K, the Haber and contact processes, nitric oxide at high temperature, and two solved problems: finding the enthalpy change when K doubles, and how far K for ammonia falls on heating.https://rankdeterminant.com/media/v/chem-u6-ch2-c5.mp4?v=fd6edf879d5422026-10-14yes https://rankdeterminant.com/v/chem-u6-ch3-c1https://rankdeterminant.com/media/v/chem-u6-ch3-c1.jpg?v=ea684614aaElectrolytes and the Theories of Acids and Bases | JEE Chemistry (English)Strong and weak electrolytes and the three theories of acids and bases: Arrhenius acids and bases in water, Brønsted–Lowry proton donors and acceptors with conjugate acid–base pairs, Lewis electron-pair acceptors and donors such as BF3, amphiprotic species such as water, the stronger acid, weaker conjugate base rule, and two solved problems on conjugate pairs and basic strength.https://rankdeterminant.com/media/v/chem-u6-ch3-c1.mp4?v=ea684614aa4812026-10-15yes https://rankdeterminant.com/v/chem-u6-ch3-c2https://rankdeterminant.com/media/v/chem-u6-ch3-c2.jpg?v=899b146893-0b8864The Ionic Product of Water and the pH Scale | JEE Chemistry (English)The ionic product of water and the pH scale, taught like a live JEE class: why Kw is 1.0 x 10^-14 at 298 K, pH and pOH, pH + pOH = 14, acidic, neutral and basic solutions, why one pH unit is a tenfold change in H+ concentration, how Kw rises with temperature, and why pure boiling water with pH 6.1 is still neutral. Two solved problems from the course.https://rankdeterminant.com/media/v/chem-u6-ch3-c2.mp4?v=899b146893-0b88644862026-10-16yes https://rankdeterminant.com/v/chem-u6-ch3-c3https://rankdeterminant.com/media/v/chem-u6-ch3-c3.jpg?v=a8155e82ebpH of Strong Acids, Strong Bases and their Mixtures | JEE Chemistry (English)How to find the pH of strong acids and strong bases: HCl and H2SO4 (both protons), NaOH and Ba(OH)2, pOH and pH = 14 − pOH at 298 K, mixing an acid with a base using millimoles and the total volume, and very dilute acids where water's own H+ matters, with two solved problems including the pH of 10^-8 M HCl.https://rankdeterminant.com/media/v/chem-u6-ch3-c3.mp4?v=a8155e82eb4882026-10-15yes https://rankdeterminant.com/v/chem-u6-ch3-c4https://rankdeterminant.com/media/v/chem-u6-ch3-c4.jpg?v=0ae31f0756Weak Acids and Bases: Kₐ, K_b and Ostwald's Dilution Law | JEE Chemistry (English)Ostwald's dilution law and the pH of weak acids and bases: Ka and Kb from the degree of ionisation, alpha = root(Ka/c) when alpha is below about 5%, the shortcut pH = 1/2(pKa - log c), Ka x Kb = Kw and pKa + pKb = 14 at 298 K, the common-ion effect, and when to solve the quadratic, with solved problems on acetic acid and HF.https://rankdeterminant.com/media/v/chem-u6-ch3-c4.mp4?v=0ae31f07564672026-10-15yes https://rankdeterminant.com/v/chem-u6-ch3-c5https://rankdeterminant.com/media/v/chem-u6-ch3-c5.jpg?v=9841960edc-1fc905Polyprotic Acids and the Strength of Acids | JEE Chemistry (English)Polyprotic acids like H2S, H2CO3 and H3PO4 ionise in steps with Ka1 much greater than Ka2: the pH from the first step, [A2−] ≈ Ka2 for the acid alone, and [S2−] with HCl present as in group II analysis. Then what makes an acid strong: HF < HCl < HBr < HI, CH4 < NH3 < H2O < HF, oxyacids, chloroacetic acids and the basicity of H3PO3, with two solved problems on H2S.https://rankdeterminant.com/media/v/chem-u6-ch3-c5.mp4?v=9841960edc-1fc9054922026-10-17yes https://rankdeterminant.com/v/chem-u6-ch4-c1https://rankdeterminant.com/media/v/chem-u6-ch4-c1.jpg?v=020deead09Salt Hydrolysis | JEE Chemistry (English)Salt hydrolysis made simple: which salts give acidic, basic or neutral solutions, the hydrolysis constant Kh = Kw/Ka, the degree of hydrolysis, pH formulas for all four types of salt including ammonium acetate and sodium hydrogencarbonate, the FeCl3 trap, and two solved problems: the pH of sodium acetate and of sodium cyanide.https://rankdeterminant.com/media/v/chem-u6-ch4-c1.mp4?v=020deead095402026-10-15yes https://rankdeterminant.com/v/chem-u6-ch4-c2https://rankdeterminant.com/media/v/chem-u6-ch4-c2.jpg?v=8e7e954032Buffer Solutions | JEE Chemistry (English)What a buffer solution is, acidic and basic buffers, the Henderson–Hasselbalch equation for pH and pOH, how added H+ or OH- changes the salt-to-acid ratio, why dilution leaves the pH almost unchanged, buffer capacity and the pKa ± 1 range, the half-neutralisation trick, and two solved JEE-style problems: a buffer pH, and HCl added to a buffer versus pure water.https://rankdeterminant.com/media/v/chem-u6-ch4-c2.mp4?v=8e7e9540325112026-10-15yes https://rankdeterminant.com/v/chem-u6-ch4-c3https://rankdeterminant.com/media/v/chem-u6-ch4-c3.jpg?v=b09eecdb8dAcid–Base Titrations | JEE Chemistry (English)Acid–base titration curves explained step by step: the pH at the start, before equivalence, at half-neutralisation where pH = pKa, at the equivalence point and after it; why the equivalence pH is 7 only for a strong acid with a strong base, why the jump is shorter for a weak acid, and two solved problems: HCl and acetic acid titrated with NaOH.https://rankdeterminant.com/media/v/chem-u6-ch4-c3.mp4?v=b09eecdb8d5262026-10-15yes https://rankdeterminant.com/v/chem-u6-ch4-c4https://rankdeterminant.com/media/v/chem-u6-ch4-c4.jpg?v=e199228f90Acid–Base Indicators | JEE Chemistry (English)Acid–base indicators made simple: the indicator equation pH = pKIn + log[In-]/[HIn], why the colour changes over pKIn ± 1, the ranges of methyl orange, methyl red and phenolphthalein, how to choose an indicator from the steep part of the titration curve, the methyl orange trap for acetic acid, and two solved problems on the indicator ratio and the fraction in the basic form.https://rankdeterminant.com/media/v/chem-u6-ch4-c4.mp4?v=e199228f904772026-10-15yes https://rankdeterminant.com/v/chem-u6-ch5-c1https://rankdeterminant.com/media/v/chem-u6-ch5-c1.jpg?v=d043dc480e-04a05cThe Solubility Product | JEE Chemistry (English)What the solubility product Ksp means for a sparingly soluble salt in a saturated solution, how to write Ksp from the dissolution equilibrium, the general formula Ksp = x^x y^y s^(x+y), the standard cases s², 4s³, 27s⁴ and 108s⁵, why you compare molar solubility and not Ksp for different formula types, and two solved JEE-style problems with AgCl and Ag2CrO4.https://rankdeterminant.com/media/v/chem-u6-ch5-c1.mp4?v=d043dc480e-04a05c4712026-10-16yes https://rankdeterminant.com/v/chem-u6-ch5-c2https://rankdeterminant.com/media/v/chem-u6-ch5-c2.jpg?v=de836c7382The Common-Ion Effect and the Effect of pH | JEE Chemistry (English)How a common ion lowers the solubility of a sparingly soluble salt: s ≈ Ksp/c for an AB salt, the AB2 cases and why the squared ion matters most, why hydroxides and salts of weak acids dissolve more in acid while AgCl does not, and two solved JEE-style problems: AgCl in NaCl, and the salt of a weak acid in a pH 3 buffer.https://rankdeterminant.com/media/v/chem-u6-ch5-c2.mp4?v=de836c73824792026-10-15yes https://rankdeterminant.com/v/chem-u6-ch5-c3https://rankdeterminant.com/media/v/chem-u6-ch5-c3.jpg?v=a85d086923-4470ebPrecipitation and Qualitative Analysis | JEE Chemistry (English)When does a precipitate form? Compare the ionic product Q with the solubility product Ksp using the concentrations after mixing, then see selective precipitation and Mohr's method, why H2S in dilute HCl precipitates group II while group IV needs ammoniacal H2S, why NH4Cl is added before NH4OH in group III, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/chem-u6-ch5-c3.mp4?v=a85d086923-4470eb4922026-10-17yes https://rankdeterminant.com/v/chem-u6-ch5-c4https://rankdeterminant.com/media/v/chem-u6-ch5-c4.jpg?v=c06c87ccdaComplex Formation and Simultaneous Equilibria | JEE Chemistry (English)Why silver chloride dissolves in ammonia: complex formation and K = Ksp x Kf, amphoteric Al(OH)3 and Zn(OH)2 dissolving in excess alkali, why Zn(OH)2 dissolves in excess ammonia but Al(OH)3 does not, and two salts with a common ion solved with two Ksp expressions and one charge balance. Two solved problems: AgCl in 1 M NH3, and water saturated with AgCl and AgBr.https://rankdeterminant.com/media/v/chem-u6-ch5-c4.mp4?v=c06c87ccda4932026-10-15yes https://rankdeterminant.com/v/chem-u6-ch6-c1https://rankdeterminant.com/media/v/chem-u6-ch6-c1.jpg?v=e8e8107c24Overview | JEE Chemistry (English)How to use the mixed JEE Main-pattern problems on equilibrium: the seven kinds of question (Kp and Kc, equilibrium tables, degree of dissociation, pH, buffers, hydrolysis, Ksp), the default constants 298 K, Kw = 10^-14 and R = 0.0821, why neutral water is pH 7 only at 298 K, and two solved problems: Kp from Kc for SO3, and Kp of N2O4 from one pressure reading.https://rankdeterminant.com/media/v/chem-u6-ch6-c1.mp4?v=e8e8107c245612026-10-15yes https://rankdeterminant.com/v/chem-u6-ch6-c2https://rankdeterminant.com/media/v/chem-u6-ch6-c2.jpg?v=ba39d9f311Mixed Problems: Set 1 | JEE Chemistry (English)Set one of mixed JEE Main-pattern equilibrium problems: the pH of a strong acid with a weak acid (common ion), how the change of K with temperature tells exothermic from endothermic, K p from K c with delta n g, and K p for N2O4 dissociation from a single total-pressure reading, with the classic traps.https://rankdeterminant.com/media/v/chem-u6-ch6-c2.mp4?v=ba39d9f3114822026-10-15yes https://rankdeterminant.com/v/chem-u6-ch6-c3https://rankdeterminant.com/media/v/chem-u6-ch6-c3.jpg?v=b716085e75Mixed Problems: Set 2 | JEE Chemistry (English)Set 2 of the mixed JEE Main-pattern problems on equilibrium: the four topics its eight problems test, the solubility product with a common ion, the Henderson–Hasselbalch equation worked in millimoles, and two solved problems with their classic traps: the solubility of AgCl in silver nitrate solution, and the pH of an acetic acid buffer after adding NaOH.https://rankdeterminant.com/media/v/chem-u6-ch6-c3.mp4?v=b716085e754932026-10-15yes https://rankdeterminant.com/v/chem-u6-ch6-c4https://rankdeterminant.com/media/v/chem-u6-ch6-c4.jpg?v=fdc21431b2Mixed Problems: Set 3 | JEE Chemistry (English)Mixed JEE Main-pattern problems on ionic equilibrium, set 3: the fraction of an indicator in its ionised form from pH and pKIn, the pH of a mixture of two weak acids, Ksp of calcium hydroxide from the pH of its saturated solution, and a weak acid where the square-root shortcut fails and the quadratic must be solved, with the classic traps.https://rankdeterminant.com/media/v/chem-u6-ch6-c4.mp4?v=fdc21431b24832026-10-15yes https://rankdeterminant.com/v/chem-u6-ch7-c1https://rankdeterminant.com/media/v/chem-u6-ch7-c1.jpg?v=0ac41a2ec1Overview | JEE Chemistry (English)How to use the Equilibrium unit problem bank: Part A as a 30-minute JEE Main test after Chapters 1 to 6, naming the idea before you calculate (reverse and halve K, buffer pH = pKa), Part C true-or-false traps such as the pH of 10^-8 M HCl and Ksp with a common ion, and two solved problems: total pressure over solid NH4HS, and two solids sharing one gas in the same vessel.https://rankdeterminant.com/media/v/chem-u6-ch7-c1.mp4?v=0ac41a2ec14792026-10-15yes https://rankdeterminant.com/v/chem-u6-ch7-c2https://rankdeterminant.com/media/v/chem-u6-ch7-c2.jpg?v=bd62249ba9Part A: JEE Main Level | JEE Chemistry (English)A live problem class on chemical and ionic equilibrium for JEE Main: K for a reversed and halved equation, the pH of diluted HCl and of sulphuric acid, a buffer with equal concentrations, the Ksp of silver chromate, the total pressure over solid NH4HS, and the degree of dissociation of PCl5, with every trap explained.https://rankdeterminant.com/media/v/chem-u6-ch7-c2.mp4?v=bd62249ba94912026-10-15yes https://rankdeterminant.com/v/chem-u6-ch7-c4https://rankdeterminant.com/media/v/chem-u6-ch7-c4.jpg?v=262f4991fb-5a5e42Part C: Concept Checks | JEE Chemistry (English)Six true or false traps from JEE chemical and ionic equilibrium, taught like a live class: does a catalyst change K c, does ammonium chloride lower the pH of ammonia, does diluting a buffer change its pH, is K sp smaller with a common ion, when is K p equal to K c, and why the pH of ten to the minus eight molar HCl is 6.98, not 8.https://rankdeterminant.com/media/v/chem-u6-ch7-c4.mp4?v=262f4991fb-5a5e425002026-10-16yes https://rankdeterminant.com/v/chem-u7-ch1-c1https://rankdeterminant.com/media/v/chem-u7-ch1-c1.jpg?v=118e5f87ecOxidation and Reduction | JEE Chemistry (English)Oxidation and reduction from the start: the classical view with oxygen and hydrogen, the electronic view as loss and gain of electrons, why the two always occur together in a redox reaction, the oxidising agent and reducing agent trap, the OIL RIG trick with oxidation numbers, and two solved problems: zinc and copper ions, and potassium with fluorine.https://rankdeterminant.com/media/v/chem-u7-ch1-c1.mp4?v=118e5f87ec4112026-10-15yes https://rankdeterminant.com/v/chem-u7-ch1-c2https://rankdeterminant.com/media/v/chem-u7-ch1-c2.jpg?v=1e184f9cb5Oxidation Number | JEE Chemistry (English)How to find oxidation numbers fast: the rules for free elements, ions, fluorine, hydrogen and oxygen, the exceptions in metal hydrides, peroxides, superoxides and OF2, average versus actual oxidation number in Fe3O4, the peroxide-link signal, and two solved JEE-style problems on K2Cr2O7, KMnO4 and CrO5.https://rankdeterminant.com/media/v/chem-u7-ch1-c2.mp4?v=1e184f9cb55232026-10-15yes https://rankdeterminant.com/v/chem-u7-ch1-c3https://rankdeterminant.com/media/v/chem-u7-ch1-c3.jpg?v=f2135b69f1Types of Redox Reactions; Oxidising and Reducing Agents | JEE Chemistry (English)Types of redox reactions explained with oxidation number changes: combination, decomposition, displacement, disproportionation and comproportionation. See which species are oxidising agents only, reducing agents only, or both, why fluorine cannot disproportionate, and solve two course problems: classifying four reactions, and chlorine in hot concentrated alkali.https://rankdeterminant.com/media/v/chem-u7-ch1-c3.mp4?v=f2135b69f15562026-10-15yes https://rankdeterminant.com/v/chem-u7-ch1-c4https://rankdeterminant.com/media/v/chem-u7-ch1-c4.jpg?v=5b387f27bfBalancing Redox Equations | JEE Chemistry (English)How to balance redox equations step by step by the ion-electron (half-reaction) method in acidic and in basic medium, with the oxidation-number method as a quick check. Two solved JEE-style examples: permanganate with iron(II) in acid, and permanganate with iodide in basic medium, plus the traps students fall into.https://rankdeterminant.com/media/v/chem-u7-ch1-c4.mp4?v=5b387f27bf5082026-10-15yes https://rankdeterminant.com/v/chem-u7-ch2-c1https://rankdeterminant.com/media/v/chem-u7-ch2-c1.jpg?v=97db74b896The n-Factor and the Law of Equivalence in Redox | JEE Chemistry (English)What the n-factor means in redox reactions and why it depends on the reaction: KMnO4 in acidic (5), neutral (3) and strongly alkaline (1) media, dichromate, oxalate and H2O2. Equivalent mass E = M/n, equivalents, normality, the law of equivalence n1M1V1 = n2M2V2, and two solved course problems: a KMnO4 and FeSO4 titration, and the n-factor of FeC2O4 and Fe2(C2O4)3.https://rankdeterminant.com/media/v/chem-u7-ch2-c1.mp4?v=97db74b8965202026-10-15yes https://rankdeterminant.com/v/chem-u7-ch2-c2https://rankdeterminant.com/media/v/chem-u7-ch2-c2.jpg?v=16a1c57f21-257e42Permanganate and Dichromate Titrations | JEE Chemistry (English)Permanganometry and dichrometry for JEE: why KMnO4 is its own indicator, why only dilute H2SO4 (not HCl or HNO3) is used, why oxalic acid is titrated warm (autocatalysis by Mn2+) and Fe(II) salts cold, why KMnO4 must be standardised while K2Cr2O7 is a primary standard, and why dichromate works in HCl. Two solved problems: iron in an ore and the purity of an iron wire.https://rankdeterminant.com/media/v/chem-u7-ch2-c2.mp4?v=16a1c57f21-257e425052026-10-15yes https://rankdeterminant.com/v/chem-u7-ch2-c3https://rankdeterminant.com/media/v/chem-u7-ch2-c3.jpg?v=48197a0867-3c36b5Iodometry and Iodimetry | JEE Chemistry (English)Iodometry and iodimetry explained: which one titrates a reductant directly with iodine, and which one lets an oxidant liberate iodine from excess KI for thiosulphate to titrate. The starch indicator and why it goes in near the end point, the copper and iodate equivalence chains, and two solved course problems: the molarity of a copper(II) solution and the available chlorine in bleaching powder.https://rankdeterminant.com/media/v/chem-u7-ch2-c3.mp4?v=48197a0867-3c36b55072026-10-15yes https://rankdeterminant.com/v/chem-u7-ch3-c1https://rankdeterminant.com/media/v/chem-u7-ch3-c1.jpg?v=5a01da14bdGalvanic Cells | JEE Chemistry (English)Galvanic (voltaic) cells for JEE and Class 12: how the Daniell cell turns a spontaneous redox reaction into electrical energy, why the anode is the negative terminal, cell notation with single and double bars, E cell = E cathode − E anode with reduction potentials, what the salt bridge does and how to choose it, and two solved problems on writing a cell and its cell reaction.https://rankdeterminant.com/media/v/chem-u7-ch3-c1.mp4?v=5a01da14bd5152026-10-15yes https://rankdeterminant.com/v/chem-u7-ch3-c2https://rankdeterminant.com/media/v/chem-u7-ch3-c2.jpg?v=d3d101529c-7c033eStandard Electrode Potentials and the Electrochemical Series | JEE Chemistry (English)Standard electrode potentials from the standard hydrogen electrode (zero by definition, at 298 K, 1 M and 1 bar): reduction potentials, why E° is intensive, and how to read the electrochemical series for the strongest oxidising and reducing agents. Then E°cell = E°cathode − E°anode, displacement, hydrogen from dilute acids, and two solved problems: storing copper sulphate in zinc, and whether Fe3+ oxidises iodide or bromide.https://rankdeterminant.com/media/v/chem-u7-ch3-c2.mp4?v=d3d101529c-7c033e5302026-10-15yes https://rankdeterminant.com/v/chem-u7-ch3-c3https://rankdeterminant.com/media/v/chem-u7-ch3-c3.jpg?v=c460e42025Gibbs Energy and Combining Electrode Potentials | JEE Chemistry (English)Gibbs energy and cell potential for JEE: delta G = -nFE and delta G° = -nFE°, the Faraday constant, why E° is intensive but delta G° is extensive, and the common trap of adding electrode potentials. Learn when to go through delta G (a new half-reaction) and when cathode minus anode works, with two solved course problems: E° of Fe3+/Fe and of MnO4-/Mn2+.https://rankdeterminant.com/media/v/chem-u7-ch3-c3.mp4?v=c460e420255452026-10-15yes https://rankdeterminant.com/v/chem-u7-ch3-c4https://rankdeterminant.com/media/v/chem-u7-ch3-c4.jpg?v=293a388712Types of Electrodes | JEE Chemistry (English)Types of electrodes for JEE and Class 12: metal–metal ion, gas electrodes like the standard hydrogen electrode, redox electrodes with inert platinum, and metal–insoluble salt–anion electrodes such as calomel and silver–silver chloride. How their potential depends on chloride, E° from Ksp, why they replace the SHE as reference electrodes, and two solved problems.https://rankdeterminant.com/media/v/chem-u7-ch3-c4.mp4?v=293a3887125352026-10-15yes https://rankdeterminant.com/v/chem-u7-ch4-c1https://rankdeterminant.com/media/v/chem-u7-ch4-c1.jpg?v=b9dae2919bThe Nernst Equation | JEE Chemistry (English)The Nernst equation for JEE and Class 12 electrochemistry: E = E° − (0.0591/n) log Q at 298 K, the metal ion electrode, the hydrogen electrode and pH, why pure solids and liquids stay out of Q, how E cell falls as Q rises, and two solved problems: a Daniell cell at 0.1 M and 0.001 M, and permanganate at pH 2.https://rankdeterminant.com/media/v/chem-u7-ch4-c1.mp4?v=b9dae2919b4982026-10-15yes https://rankdeterminant.com/v/chem-u7-ch4-c2https://rankdeterminant.com/media/v/chem-u7-ch4-c2.jpg?v=5eaf60b7bc-316b17Equilibrium Constant, Gibbs Energy, Enthalpy and Entropy | JEE Chemistry (English)How cell EMF gives the equilibrium constant: at equilibrium E cell = 0 and Q = K, so log K = nE°/0.0591 at 298 K, and ΔG° = -nFE° = -RT ln K. Then the temperature coefficient (∂E/∂T)p gives ΔS and ΔH. Covers the Daniell cell K of about 10^37, the n trap and the joules versus kilojoules trap, with two solved course problems.https://rankdeterminant.com/media/v/chem-u7-ch4-c2.mp4?v=5eaf60b7bc-316b174762026-10-15yes https://rankdeterminant.com/v/chem-u7-ch4-c3https://rankdeterminant.com/media/v/chem-u7-ch4-c3.jpg?v=aa038e5b2e-009e40Concentration Cells and Applications | JEE Chemistry (English)Concentration cells for JEE and Class 12 electrochemistry: why E naught cell is zero when both electrodes are the same, the EMF formula E = (0.0591/n) log(c2/c1) at 298 K, which side is the cathode, the hydrogen gas pressure cell, and how a measured EMF gives Ksp, Kw, pH and Ka. Two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u7-ch4-c3.mp4?v=aa038e5b2e-009e405002026-10-15yes https://rankdeterminant.com/v/chem-u7-ch5-c1https://rankdeterminant.com/media/v/chem-u7-ch5-c1.jpg?v=ed82678dd0-93df2bConductivity and Molar Conductivity | JEE Chemistry (English)How to find the conductivity (kappa), the cell constant and the molar conductivity of an electrolytic solution: R = ρl/A, G = 1/R, κ = G*/R, G* = κR from a KCl solution of known κ, Λm = κ×1000/c in S cm² mol⁻¹ and κ/c in SI units, unit conversions, equivalent conductivity, and two solved course problems with the classic κ and concentration-unit traps.https://rankdeterminant.com/media/v/chem-u7-ch5-c1.mp4?v=ed82678dd0-93df2b4972026-10-15yes https://rankdeterminant.com/v/chem-u7-ch5-c2https://rankdeterminant.com/media/v/chem-u7-ch5-c2.jpg?v=ae5d78df93-bbd6a4Variation with Concentration; Kohlrausch's Law | JEE Chemistry (English)Why conductivity falls but molar conductivity rises on dilution, the Debye-Hückel-Onsager straight line for strong electrolytes, why weak electrolytes cannot be extrapolated, and Kohlrausch's law of independent ion contributions. Covers degree of dissociation, Ka and solubility from conductance, with two solved course problems: limiting molar conductivity of NH4OH and the solubility and Ksp of AgCl.https://rankdeterminant.com/media/v/chem-u7-ch5-c2.mp4?v=ae5d78df93-bbd6a45402026-10-15yes https://rankdeterminant.com/v/chem-u7-ch5-c3https://rankdeterminant.com/media/v/chem-u7-ch5-c3.jpg?v=b57277aacc-650940Conductometric Titrations | JEE Chemistry (English)Conductometric titrations made simple: how the end point is read where two straight lines meet, why the conductance falls when NaOH is added to HCl (fast H+ replaced by slow Na+), the V-shaped strong acid and strong base curve, weak acid with strong base, weak acid with weak base, the KCl and AgNO3 precipitation curve, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/chem-u7-ch5-c3.mp4?v=b57277aacc-6509405292026-10-15yes https://rankdeterminant.com/v/chem-u7-ch6-c1https://rankdeterminant.com/media/v/chem-u7-ch6-c1.jpg?v=246a3e32f2-ab2f56Products of Electrolysis | JEE Chemistry (English)How to predict the products of electrolysis at the cathode and the anode: molten salts, aqueous NaCl (brine), why Na+ is not discharged and water gives H2, why chloride beats water at the anode (overpotential of O2), sulphate and nitrate, active copper anodes and the mercury cathode. Two solved course problems: CuSO4 with Pt and Cu electrodes, and the order in which Ag, Cu and Mg deposit.https://rankdeterminant.com/media/v/chem-u7-ch6-c1.mp4?v=246a3e32f2-ab2f564942026-10-15yes https://rankdeterminant.com/v/chem-u7-ch6-c2https://rankdeterminant.com/media/v/chem-u7-ch6-c2.jpg?v=93d44b55d4-df4175Faraday's Laws of Electrolysis | JEE Chemistry (English)Faraday's first and second laws of electrolysis for JEE: Q = It, the faraday (96,500 C), moles of electrons It/F, the electrochemical equivalent Z = M/nF, equivalent mass, cells in series, gas volumes at STP and current efficiency. Two solved course problems: copper deposited by 2 A in one hour, and silver and copper cells in series, with the molar-mass trap.https://rankdeterminant.com/media/v/chem-u7-ch6-c2.mp4?v=93d44b55d4-df41754982026-10-15yes https://rankdeterminant.com/v/chem-u7-ch6-c3https://rankdeterminant.com/media/v/chem-u7-ch6-c3.jpg?v=d1cdc71199-11e3f3Batteries and Fuel Cells | JEE Chemistry (English)Batteries and fuel cells for JEE electrochemistry: the dry (Leclanché) cell and its electrode reactions, why the mercury cell keeps a constant 1.35 V, the lead storage battery on discharge and charging and why its acid density falls, Ni–Cd and lithium-ion cells, and the H2–O2 fuel cell with E° = 1.23 V and maximum efficiency ΔG/ΔH. Two solved course problems: moles of H2SO4 per faraday, and fuel cell efficiency.https://rankdeterminant.com/media/v/chem-u7-ch6-c3.mp4?v=d1cdc71199-11e3f35172026-10-15yes https://rankdeterminant.com/v/chem-u7-ch6-c4https://rankdeterminant.com/media/v/chem-u7-ch6-c4.jpg?v=b4e589fe5c-a92d2fCorrosion | JEE Chemistry (English)How iron rusts as a tiny electrochemical cell: Fe oxidised at anodic spots, O2 reduced with H+ at cathodic spots, and Fe2+ oxidised further to hydrated Fe2O3 (rust). Why acidic water, salt water and two metals in contact speed it up, and how paint, galvanising, sacrificial Mg and Zn anodes, stainless steel and cathodic protection stop it. Two solved course problems: magnesium blocks on ships, and scratched galvanised versus tinned iron.https://rankdeterminant.com/media/v/chem-u7-ch6-c4.mp4?v=b4e589fe5c-a92d2f4772026-10-15yes https://rankdeterminant.com/v/chem-u7-ch7-c1https://rankdeterminant.com/media/v/chem-u7-ch7-c1.jpg?v=3019be482a-759da7Overview | JEE Chemistry (English)How to use the Redox and Electrochemistry mixed problem sets: six ideas in one paper (oxidation numbers, titrations, cell potentials, the Nernst equation, conductance, Faraday's laws), the values F = 96500 C/mol and 0.0591 V at 298 K, the E cell sign trap, and two solved problems: a dichromate titration with n-factors, and silver and copper cells in series.https://rankdeterminant.com/media/v/chem-u7-ch7-c1.mp4?v=3019be482a-759da75362026-10-15yes https://rankdeterminant.com/v/chem-u7-ch7-c2https://rankdeterminant.com/media/v/chem-u7-ch7-c2.jpg?v=780f149132-b7b126Mixed Problems: Set 1 | JEE Chemistry (English)Set one of mixed JEE Main-pattern problems on redox and electrochemistry: oxidation numbers, the n-factor of dichromate, a dichromate and ferrous sulphate titration, E naught cell from reduction potentials, the Nernst equation for a silver electrode, and the pH of a solution from a single hydrogen electrode reading, with the classic sign and n-factor traps.https://rankdeterminant.com/media/v/chem-u7-ch7-c2.mp4?v=780f149132-b7b1265172026-10-15yes https://rankdeterminant.com/v/chem-u7-ch7-c3https://rankdeterminant.com/media/v/chem-u7-ch7-c3.jpg?v=4be38e7558-8e2cf4Mixed Problems: Set 2 | JEE Chemistry (English)Set 2 of the Redox and Electrochemistry mixed problems, JEE Main level: the Nernst equation at 298 K, a silver concentration cell with zero E naught that still gives 0.100 V, log K and delta G from E naught, the EMF of a zinc-copper cell with 0.01 M copper ions, and the Ksp of barium sulphate from conductivity after subtracting the water.https://rankdeterminant.com/media/v/chem-u7-ch7-c3.mp4?v=4be38e7558-8e2cf45352026-10-15yes https://rankdeterminant.com/v/chem-u7-ch7-c4https://rankdeterminant.com/media/v/chem-u7-ch7-c4.jpg?v=87d176c819-25e003Mixed Problems: Set 3 | JEE Chemistry (English)Set three of mixed JEE Main-pattern electrochemistry problems: the Nernst equation for a Daniell cell and how to find an unknown ion concentration from the cell voltage, Faraday's laws from amperes to moles, the acid used by a lead storage battery, and the mass of copper and the pH after electrolysing copper sulphate with platinum electrodes.https://rankdeterminant.com/media/v/chem-u7-ch7-c4.mp4?v=87d176c819-25e0035192026-10-15yes https://rankdeterminant.com/v/chem-u7-ch8-c1https://rankdeterminant.com/media/v/chem-u7-ch8-c1.jpg?v=cec5ba6d3c-f40384Overview | JEE Chemistry (English)How to use the Redox Reactions and Electrochemistry unit problem bank: Part A as a 30-minute JEE Main test, Part B longer JEE Advanced problems, Part C statement checks such as the sign of the anode, and two solved problems: the standard potential of a zinc and iron(III) cell, and ΔG°, ΔS° and ΔH° of a cell from its temperature coefficient.https://rankdeterminant.com/media/v/chem-u7-ch8-c1.mp4?v=cec5ba6d3c-f403844942026-10-15yes https://rankdeterminant.com/v/chem-u7-ch8-c2https://rankdeterminant.com/media/v/chem-u7-ch8-c2.jpg?v=dfaa42f408-826de7Part A: JEE Main Level | JEE Chemistry (English)A live problem class on redox and electrochemistry for JEE Main: the n-factor and equivalent mass of FeS2, E naught cell from reduction potentials, faradays to make oxygen from water, molar conductivity from kappa, the degree of dissociation from Kohlrausch's law, the Nernst equation for a copper electrode, and the faradays to reduce Fe3O4, with every trap explained.https://rankdeterminant.com/media/v/chem-u7-ch8-c2.mp4?v=dfaa42f408-826de75062026-10-15yes https://rankdeterminant.com/v/chem-u7-ch8-c4https://rankdeterminant.com/media/v/chem-u7-ch8-c4.jpg?v=9893420984-98fb35Part C: Concept Checks | JEE Chemistry (English)Six short electrochemistry concept checks for JEE: the sign of the anode in galvanic and electrolytic cells, why E cell is intensive but ΔG is extensive, why agar is used in a salt bridge, why KCl fixes the cell constant, why heating raises a solution's conductivity but lowers a metal's, and why lithium has the most negative E° of the alkali metals.https://rankdeterminant.com/media/v/chem-u7-ch8-c4.mp4?v=9893420984-98fb355252026-10-15yes https://rankdeterminant.com/v/chem-u8-ch1-c1https://rankdeterminant.com/media/v/chem-u8-ch1-c1.jpg?v=5633be4046-89e314Rate of a Reaction | JEE Chemistry (English)What the rate of a reaction means: the average rate as the change in concentration over time, the instantaneous rate as the slope of the concentration–time curve, why reactants take a minus sign, dividing by the coefficients to get one rate for the reaction, the units mol L⁻¹ s⁻¹, the factors the rate depends on, and two solved JEE-style problems on ammonia and N2O5.https://rankdeterminant.com/media/v/chem-u8-ch1-c1.mp4?v=5633be4046-89e3145072026-10-16yes https://rankdeterminant.com/v/chem-u8-ch1-c2https://rankdeterminant.com/media/v/chem-u8-ch1-c2.jpg?v=15fec2c7f0-6ec7b3Rate Law, Order and Molecularity | JEE Chemistry (English)Rate law, order and molecularity for JEE Main and Advanced: why the orders come from experiment and not from the balanced equation, zero, fractional and negative orders, the units of the rate constant k for any order, molecularity of elementary steps, pseudo first order reactions, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u8-ch1-c2.mp4?v=15fec2c7f0-6ec7b35012026-10-16yes https://rankdeterminant.com/v/chem-u8-ch1-c3https://rankdeterminant.com/media/v/chem-u8-ch1-c3.jpg?v=7d077d380f-aa03dbMethod of Initial Rates | JEE Chemistry (English)Method of initial rates for JEE Main and Advanced: change one concentration at a time, read the order from how the rate changes (doubling gives two to the power m), find the rate constant k from any run, and see how squeezing a gas mixture changes the rate. Two solved problems, including a three-run table, with the classic traps.https://rankdeterminant.com/media/v/chem-u8-ch1-c3.mp4?v=7d077d380f-aa03db4692026-10-16yes https://rankdeterminant.com/v/chem-u8-ch2-c1https://rankdeterminant.com/media/v/chem-u8-ch2-c1.jpg?v=bbf7517b1a-6b6fe7Zero- and First-Order Reactions | JEE Chemistry (English)Zero order and first order reactions for JEE Main and Advanced: the integrated rate equations, the 2.303 log formula, the half-life formulas and why a first order half-life does not depend on the starting concentration, 75%, 87.5% and 99.9% completion times, average life, the straight-line plots, and two solved problems with the classic percent-complete trap.https://rankdeterminant.com/media/v/chem-u8-ch2-c1.mp4?v=bbf7517b1a-6b6fe75122026-10-16yes https://rankdeterminant.com/v/chem-u8-ch2-c2https://rankdeterminant.com/media/v/chem-u8-ch2-c2.jpg?v=1a1d391f8e-9ed27aSecond-Order Reactions and Comparisons | JEE Chemistry (English)Second order reactions for JEE Main and Advanced: the integrated rate law, the half-life one over k times the starting concentration, how the half-life depends on the starting concentration for zero, first and second order, the seventy five to fifty percent time ratio, pseudo first order reactions, and two solved problems with the classic two half-lives trap.https://rankdeterminant.com/media/v/chem-u8-ch2-c2.mp4?v=1a1d391f8e-9ed27a5212026-10-16yes https://rankdeterminant.com/v/chem-u8-ch2-c3https://rankdeterminant.com/media/v/chem-u8-ch2-c3.jpg?v=8fe4291c08-c4525dFollowing a Reaction by Pressure, Volume, Titre or Rotation | JEE Chemistry (English)How to find a first order rate constant from what you can actually measure: the total pressure of a gas reaction, the volume of gas evolved, the titre of a reactant or a product, and the optical rotation in the inversion of cane sugar. One general formula, the gauge-reads-the-total trap, the sign of r infinity, invert sugar, and two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u8-ch2-c3.mp4?v=8fe4291c08-c4525d5212026-10-16yes https://rankdeterminant.com/v/chem-u8-ch3-c1https://rankdeterminant.com/media/v/chem-u8-ch3-c1.jpg?v=b5bba852fc-0fc90aThe Half-Life Method | JEE Chemistry (English)How to find the order of a reaction from half-lives for JEE Main and Advanced: the half-life of an nth order reaction, how it depends on the starting concentration for zero, first and second order, the formula n = 1 + log(t1/t2)/log(a2/a1), the flipped-ratio trap, and two solved problems, one with a fractional order of three halves.https://rankdeterminant.com/media/v/chem-u8-ch3-c1.mp4?v=b5bba852fc-0fc90a4682026-10-16yes https://rankdeterminant.com/v/chem-u8-ch3-c2https://rankdeterminant.com/media/v/chem-u8-ch3-c2.jpg?v=0e00fed5d6-0bdd84The Graphical and Differential Methods | JEE Chemistry (English)How to find the order of a reaction from experimental data: which plot is a straight line for zero, first and second order, the log to the base ten slope trap (minus k over 2.303), rate against concentration graphs, quick tests on a table, half-lives, and van't Hoff's differential method, with two solved JEE-style problems.https://rankdeterminant.com/media/v/chem-u8-ch3-c2.mp4?v=0e00fed5d6-0bdd844872026-10-16yes https://rankdeterminant.com/v/chem-u8-ch3-c3https://rankdeterminant.com/media/v/chem-u8-ch3-c3.jpg?v=238e68a08a-86dc6eIsolation, Pseudo Orders and Units of k | JEE Chemistry (English)The isolation (flooding) method for JEE Main and Advanced: flood one reactant so rate = k'[A]^x with k' = k[B]^y, pseudo first order reactions, why the overall order does not change, units of k for zero, first, second, third and fractional orders, the t75/t50 ratios 1.5, 2 and 3, and two solved problems with the units trap.https://rankdeterminant.com/media/v/chem-u8-ch3-c3.mp4?v=238e68a08a-86dc6e4802026-10-16yes https://rankdeterminant.com/v/chem-u8-ch4-c1https://rankdeterminant.com/media/v/chem-u8-ch4-c1.jpg?v=383cb7a305-ca34ceThe Arrhenius Equation | JEE Chemistry (English)The Arrhenius equation k = A e^(-Ea/RT) explained for JEE chemical kinetics: what the activation energy and the pre-exponential factor mean, the ln k vs 1/T plot and its slope, the log base ten trap, the two-temperature formula, the temperature coefficient, and two solved problems, one of them from half-lives.https://rankdeterminant.com/media/v/chem-u8-ch4-c1.mp4?v=383cb7a305-ca34ce4982026-10-16yes https://rankdeterminant.com/v/chem-u8-ch4-c2https://rankdeterminant.com/media/v/chem-u8-ch4-c2.jpg?v=9e58c22dad-77a0cdEnergy Profiles and Catalysts | JEE Chemistry (English)How to read an energy profile diagram for JEE Main and Advanced: threshold energy, delta H = Ea(forward) - Ea(backward), why an exothermic reaction has the larger backward activation energy, what a catalyst does (lowers both activation energies equally, leaves delta H, delta G and K unchanged, equilibrium reached sooner but not shifted), k_cat/k = e^((Ea - Ea')/RT), and two solved problems with the sign and kilojoule traps.https://rankdeterminant.com/media/v/chem-u8-ch4-c2.mp4?v=9e58c22dad-77a0cd5202026-10-16yes https://rankdeterminant.com/v/chem-u8-ch4-c3https://rankdeterminant.com/media/v/chem-u8-ch4-c3.jpg?v=2538028029-84efc8Collision Theory | JEE Chemistry (English)Collision theory for JEE Main and Advanced: why only effective collisions (energy at least Ea and the proper orientation) give products, rate = P Z_AB e^(-Ea/RT), the steric or orientation factor P (at most 1), how A = P Z_AB links it to the Arrhenius equation, why the rate is far smaller than the collision frequency, and why reactions of order three or more rarely occur as single steps.https://rankdeterminant.com/media/v/chem-u8-ch4-c3.mp4?v=2538028029-84efc84722026-10-16yes https://rankdeterminant.com/v/chem-u8-ch5-c1https://rankdeterminant.com/media/v/chem-u8-ch5-c1.jpg?v=74b8675c2e-d264f7Mechanisms and the Rate-Determining Step | JEE Chemistry (English)How to get the rate law from a reaction mechanism for JEE Main and Advanced: order equals molecularity for an elementary step, the slow step as the rate-determining step, the fast pre-equilibrium method (k_obs = k2 K, Ea,obs = Ea2 + delta H1), the steady-state approximation, intermediates versus catalysts, peaks and valleys on an energy profile, and two solved problems, including ozone's negative order.https://rankdeterminant.com/media/v/chem-u8-ch5-c1.mp4?v=74b8675c2e-d264f75102026-10-16yes https://rankdeterminant.com/v/chem-u8-ch5-c2https://rankdeterminant.com/media/v/chem-u8-ch5-c2.jpg?v=4a15ee513d-87cbc2Parallel, Consecutive and Reversible Reactions | JEE Chemistry (English)Complex first-order reactions for JEE Main and Advanced: parallel reactions (k = k1 + k2, half-life 0.693/(k1 + k2), [B]/[C] = k1/k2 at all times, fraction of B, overall activation energy), consecutive reactions A to B to C (when [B] peaks, t max and [B] max, the slower step), reversible reactions (K = kf/kb, approach with kf + kb), and two solved problems with the classic traps.https://rankdeterminant.com/media/v/chem-u8-ch5-c2.mp4?v=4a15ee513d-87cbc24752026-10-16yes https://rankdeterminant.com/v/chem-u8-ch5-c3https://rankdeterminant.com/media/v/chem-u8-ch5-c3.jpg?v=8fb433ee23-5b9091Catalysis | JEE Chemistry (English)Catalysis for JEE Main and Advanced: homogeneous and heterogeneous catalysts with examples (Fe in the Haber process, Pt in the contact process, Ni in hydrogenation), the adsorption theory, promoters and poisons, why transition metals are good catalysts, enzymes, the Michaelis-Menten equation with first and zero order, and why a catalyst never changes the equilibrium constant.https://rankdeterminant.com/media/v/chem-u8-ch5-c3.mp4?v=8fb433ee23-5b90915222026-10-16yes https://rankdeterminant.com/v/chem-u8-ch6-c1https://rankdeterminant.com/media/v/chem-u8-ch6-c1.jpg?v=e078338abb-3a2d18Overview | JEE Chemistry (English)How to use the Chemical Kinetics mixed problem sets for JEE Main: the four question types (rates from stoichiometry, orders from data, integrated laws and half-lives, Arrhenius), R = 8.314 J/mol/K with temperatures in kelvin, and solved problems: N2O5 rates, activation energy from k quadrupling, 75% completion of a first-order reaction, and a rate law from experimental rate data.https://rankdeterminant.com/media/v/chem-u8-ch6-c1.mp4?v=e078338abb-3a2d185332026-10-16yes https://rankdeterminant.com/v/chem-u8-ch6-c2https://rankdeterminant.com/media/v/chem-u8-ch6-c2.jpg?v=477a462124-3ee5d2Mixed Problems: Set 1 | JEE Chemistry (English)Chemical kinetics mixed problems for JEE Main: the first-order half-life 0.693/k, why 75% completion takes two half-lives and not 1.5, zero- and second-order half-lives, and the Arrhenius equation at two temperatures to find the activation energy. Two solved problems with the classic traps: x% complete, ln versus log, and temperature in kelvin.https://rankdeterminant.com/media/v/chem-u8-ch6-c2.mp4?v=477a462124-3ee5d25232026-10-16yes https://rankdeterminant.com/v/chem-u8-ch6-c3https://rankdeterminant.com/media/v/chem-u8-ch6-c3.jpg?v=b9aa6a1ad5-71e21eMixed Problems: Set 2 | JEE Chemistry (English)Chemical Kinetics mixed problems, Set 2, for JEE Main: the first-order integrated rate law and half-life, finding the order from how the half-life changes with the initial concentration (an order of 3/2), the half-life of a reaction that is 30% complete in 20 minutes, and the total pressure in the gas reaction A to 2B + C, with the classic linear-scaling traps.https://rankdeterminant.com/media/v/chem-u8-ch6-c3.mp4?v=b9aa6a1ad5-71e21e4852026-10-16yes https://rankdeterminant.com/v/chem-u8-ch6-c4https://rankdeterminant.com/media/v/chem-u8-ch6-c4.jpg?v=558d0dd66b-488bccMixed Problems: Set 3 | JEE Chemistry (English)Hard chemical kinetics problems for JEE Main, solved step by step: the factor of two when 2A gives products, the second-order half-life, what 90% complete means for a first-order reaction, and the two-temperature Arrhenius equation with T in kelvin and Ea in joules. Includes the classic traps and a problem where just six kelvin nearly doubles k.https://rankdeterminant.com/media/v/chem-u8-ch6-c4.mp4?v=558d0dd66b-488bcc5072026-10-16yes https://rankdeterminant.com/v/chem-u8-ch7-c1https://rankdeterminant.com/media/v/chem-u8-ch7-c1.jpg?v=1a67f79ffb-3fb672Overview | JEE Chemistry (English)How to use the Chemical Kinetics unit problem bank: Part A as a 30-minute JEE Main test after Chapters 1 to 6, Part B at JEE Advanced level, Part C concept checks (can an elementary step be zero order, does a catalyst change delta G), and two solved problems: t99%/t90% for a first-order reaction, and a second-order half-life with the Arrhenius equation.https://rankdeterminant.com/media/v/chem-u8-ch7-c1.mp4?v=1a67f79ffb-3fb6724542026-10-16yes https://rankdeterminant.com/v/chem-u8-ch7-c2https://rankdeterminant.com/media/v/chem-u8-ch7-c2.jpg?v=1e3dca9c25-b9f3c3Part A: JEE Main Level | JEE Chemistry (English)A live problem class on chemical kinetics for JEE Main: the overall order and units of k for fractional orders, t99 over t90 for a first-order reaction, the zero-order half-life, the starting concentration and half-life from two readings, and the Arrhenius factor when the temperature doubles from 300 K to 600 K, with every trap explained.https://rankdeterminant.com/media/v/chem-u8-ch7-c2.mp4?v=1e3dca9c25-b9f3c34912026-10-16yes https://rankdeterminant.com/v/chem-u8-ch7-c4https://rankdeterminant.com/media/v/chem-u8-ch7-c4.jpg?v=9c4c8a6f06-0c12f4Part C: Concept Checks | JEE Chemistry (English)Five chemical kinetics concept checks of the kind often tested in statement form: why molecularity is defined only for an elementary step, why acid hydrolysis of an ester is pseudo first order, why a catalyst does not change delta G, why the rate falls while k stays the same, and why an elementary reaction can never be of zero order. With the classic traps for JEE Main.https://rankdeterminant.com/media/v/chem-u8-ch7-c4.mp4?v=9c4c8a6f06-0c12f45142026-10-16yes https://rankdeterminant.com/v/chem-u9-ch1-c1https://rankdeterminant.com/media/v/chem-u9-ch1-c1.jpg?v=5e72ecbb45-e8c8b5From Triads to the Periodic Law | JEE Chemistry (English)How the periodic table was built: Döbereiner's triads, Newlands' octaves (only up to calcium), Mendeleev's 1869 law based on atomic mass with its gaps, eka-aluminium and eka-silicon, why tellurium sits before iodine, and Moseley's X-ray law that gave the modern periodic law based on atomic number. Two solved problems: testing a triad, and why the germanium prediction convinced chemists.https://rankdeterminant.com/media/v/chem-u9-ch1-c1.mp4?v=5e72ecbb45-e8c8b55082026-10-17yes https://rankdeterminant.com/v/chem-u9-ch1-c2https://rankdeterminant.com/media/v/chem-u9-ch1-c2.jpg?v=a59e1940d4-0cb1ecPeriods, Groups and Blocks | JEE Chemistry (English)How to find the period, group and block of any element from its electron configuration: why the periods hold 2, 8, 8, 18, 18, 32 and 32 elements, the group rules for the s, p, d and f blocks, the helium exception in group 18, and two solved problems: locating Z = 26 and the element with configuration [Kr]4d10 5s2 5p3.https://rankdeterminant.com/media/v/chem-u9-ch1-c2.mp4?v=a59e1940d4-0cb1ec5252026-10-17yes https://rankdeterminant.com/v/chem-u9-ch1-c3https://rankdeterminant.com/media/v/chem-u9-ch1-c3.jpg?v=77f3d2dd2b-fbaf9fNaming Elements with Z>100 | JEE Chemistry (English)How to write the IUPAC temporary name and symbol of any element with atomic number above 100: the ten digit roots nil, un, bi, tri, quad, pent, hex, sept, oct and enn, the ium ending, the spelling rules for bi, tri and enn, and two solved problems: elements 101 and 104, and element 114 (ununquadium, now flerovium) with its period and group.https://rankdeterminant.com/media/v/chem-u9-ch1-c3.mp4?v=77f3d2dd2b-fbaf9f4882026-10-20yes https://rankdeterminant.com/v/chem-u9-ch2-c1https://rankdeterminant.com/media/v/chem-u9-ch2-c1.jpg?v=b4ebb03efb-01dafcAtomic Radius | JEE Chemistry (English)Atomic radius explained: covalent, metallic and van der Waals radius, effective nuclear charge Z eff = Z - S, why the radius falls across a period and grows down a group, the gallium and aluminium exception, the lanthanoid contraction (Zr and Hf), and two solved problems: radii from bond lengths and Slater's rules for sodium and chlorine.https://rankdeterminant.com/media/v/chem-u9-ch2-c1.mp4?v=b4ebb03efb-01dafc5042026-10-17yes https://rankdeterminant.com/v/chem-u9-ch2-c2https://rankdeterminant.com/media/v/chem-u9-ch2-c2.jpg?v=5e18cf9323-3118abIonic Radius and Isoelectronic Species | JEE Chemistry (English)Why a cation is smaller and an anion larger than its parent atom, why Fe > Fe2+ > Fe3+, and how to order isoelectronic species: with equal electrons the radius falls as the nuclear charge rises (N3-, O2-, F-, Na+, Mg2+, Al3+). Plus the O2- and S2- trap, and two solved problems: S2-, Cl-, K+, Ca2+ and Li+, Be2+, Na+, Mg2+.https://rankdeterminant.com/media/v/chem-u9-ch2-c2.mp4?v=5e18cf9323-3118ab5082026-10-17yes https://rankdeterminant.com/v/chem-u9-ch3-c1https://rankdeterminant.com/media/v/chem-u9-ch3-c1.jpg?v=56b47e8003-4350eaFirst Ionisation Enthalpy and Its Trends | JEE Chemistry (English)First ionisation enthalpy explained: why it is always positive, the eV per atom to kJ per mol conversion, how atomic size, effective nuclear charge, penetration and half-filled subshells decide it, the trends across a period and down a group, the exceptions Be > B, Mg > Al, N > O, P > S, Ga ≈ Al, Tl > In and Pb > Sn, and two solved order problems.https://rankdeterminant.com/media/v/chem-u9-ch3-c1.mp4?v=56b47e8003-4350ea5402026-10-17yes https://rankdeterminant.com/v/chem-u9-ch3-c2https://rankdeterminant.com/media/v/chem-u9-ch3-c2.jpg?v=7a4d036919-30a807Successive Ionisation Enthalpies | JEE Chemistry (English)Why the second, third and later ionisation enthalpies always increase, where the very large jump appears, and how the electrons removed before the jump give the valence electrons and the group (1, 2, 13). Solved: the 738, 1451, 7733 element (group 2), and why the second ionisation enthalpy of sodium (4562) is far larger than that of magnesium (1451).https://rankdeterminant.com/media/v/chem-u9-ch3-c2.mp4?v=7a4d036919-30a8074782026-10-17yes https://rankdeterminant.com/v/chem-u9-ch4-c1https://rankdeterminant.com/media/v/chem-u9-ch4-c1.jpg?v=a55f9503e8-cae8ccElectron Gain Enthalpy | JEE Chemistry (English)Electron gain enthalpy explained: the sign convention, electron affinity as its magnitude, the trends across a period and down a group, why Cl is more negative than F and S more than O, the positive or near-zero values of the noble gases, group 2 and nitrogen, the endothermic second electron gain of oxygen, and two solved JEE-style problems with their traps.https://rankdeterminant.com/media/v/chem-u9-ch4-c1.mp4?v=a55f9503e8-cae8cc5082026-10-17yes https://rankdeterminant.com/v/chem-u9-ch4-c2https://rankdeterminant.com/media/v/chem-u9-ch4-c2.jpg?v=0c02a9b386-aa53a5Electronegativity | JEE Chemistry (English)What electronegativity means and why it is not a measurable energy, the Pauling values from fluorine 4.0 down to caesium 0.7, Mulliken's formula, the trends across a period and down a group, and Pauling's estimate of ionic character. Solved: C, N, Si and P in increasing order (Si < P < C < N), and the ionic character of H–Cl (about 18%) and H–F (about 59%).https://rankdeterminant.com/media/v/chem-u9-ch4-c2.mp4?v=0c02a9b386-aa53a55242026-10-17yes https://rankdeterminant.com/v/chem-u9-ch4-c3https://rankdeterminant.com/media/v/chem-u9-ch4-c3.jpg?v=4f6957205b-bd550fBorn–Haber Cycles | JEE Chemistry (English)Born-Haber cycle explained step by step: sublimation, half the dissociation enthalpy, ionisation enthalpy, electron gain enthalpy and lattice enthalpy add up to the enthalpy of formation. Find the lattice enthalpy of NaCl (-787 kJ/mol), avoid the half-dissociation and sign traps, and see why the lattice enthalpy of MgO is nearly five times larger.https://rankdeterminant.com/media/v/chem-u9-ch4-c3.mp4?v=4f6957205b-bd550f4932026-10-17yes https://rankdeterminant.com/v/chem-u9-ch5-c1https://rankdeterminant.com/media/v/chem-u9-ch5-c1.jpg?v=46f8dc574c-7ba612Metallic Character and the Nature of Oxides | JEE Chemistry (English)How metallic character changes across a period and down a group, and how it decides whether an oxide is basic, amphoteric, acidic or neutral: Na2O to Cl2O7 across period 3, N2O3 to Bi2O3 down group 15, the amphoteric and neutral oxides to remember, and why a higher oxidation state gives a more acidic oxide. Solved: classifying six oxides, and ranking CrO, Cr2O3 and CrO3.https://rankdeterminant.com/media/v/chem-u9-ch5-c1.mp4?v=46f8dc574c-7ba6125212026-10-17yes https://rankdeterminant.com/v/chem-u9-ch5-c2https://rankdeterminant.com/media/v/chem-u9-ch5-c2.jpg?v=912a793f59-9ed0caValence, Hydrides and Anomalies | JEE Chemistry (English)Inert pair effect and other chemical periodic trends: valence from the group number (or 18 minus it), why Tl+, Pb2+ and Bi3+ are the stable states, why second-period elements are anomalous (no d orbitals, covalency at most 4), the diagonal pairs Li–Mg, Be–Al, B–Si, hydride basicity and reducing power, and HF < HCl < HBr < HI. Solved: formulae Al2S3 and Ca3N2, and why Pb2+ is more stable than Pb4+.https://rankdeterminant.com/media/v/chem-u9-ch5-c2.mp4?v=912a793f59-9ed0ca5332026-10-17yes https://rankdeterminant.com/v/chem-u9-ch6-c1https://rankdeterminant.com/media/v/chem-u9-ch6-c1.jpg?v=e273ecf02b-dae156Overview | JEE Chemistry (English)How to use the periodicity mixed problem sets for JEE Main: the three question types (correct order of a property, odd one out, truth of paired statements), the ionisation enthalpy trend and its exceptions, isoelectronic ions and radii, and two solved problems: magnesium or aluminium for first ionisation enthalpy, and the group of an element from its successive ionisation enthalpies.https://rankdeterminant.com/media/v/chem-u9-ch6-c1.mp4?v=e273ecf02b-dae1565062026-10-17yes https://rankdeterminant.com/v/chem-u9-ch6-c2https://rankdeterminant.com/media/v/chem-u9-ch6-c2.jpg?v=bb7034bc13-7171b3Mixed Problems: Set 1 | JEE Chemistry (English)Eight quick JEE Main-pattern periodicity questions, solved: Li, Na and K by atomic radius, four species isoelectronic with argon, the largest halide ion, why Mg beats Al in first ionisation enthalpy, the name of element 106, the amphoteric oxide, why chlorine and not fluorine has the most negative electron gain enthalpy, and locating Z = 29 (copper) by block, period and group.https://rankdeterminant.com/media/v/chem-u9-ch6-c2.mp4?v=bb7034bc13-7171b35122026-10-17yes https://rankdeterminant.com/v/chem-u9-ch6-c3https://rankdeterminant.com/media/v/chem-u9-ch6-c3.jpg?v=bf29835b92-26e402Mixed Problems: Set 2 | JEE Chemistry (English)Periodicity mixed problems, Set 2, for JEE Main: successive ionisation enthalpies and how the huge jump gives the group (801, 2427, 3660, 25026 is boron), the energy to turn 0.1 mol of gaseous Mg into Mg2+, and the Born-Haber cycle for the lattice enthalpy of KBr (-689 kJ/mol), with the classic traps.https://rankdeterminant.com/media/v/chem-u9-ch6-c3.mp4?v=bf29835b92-26e4024692026-10-17yes https://rankdeterminant.com/v/chem-u9-ch6-c4https://rankdeterminant.com/media/v/chem-u9-ch6-c4.jpg?v=aa3a6d6b37-f9eac2Mixed Problems: Set 3 | JEE Chemistry (English)Periodicity mixed problems, Set 3 (hard), for JEE Main: the dips in first ionisation enthalpy (Be > B, Mg > Al, N > O, P > S), the formula E = 13.6 Z²/n² eV for one-electron ions with the ionisation energy of Be3+ (217.6 eV), and Slater's rules for the effective nuclear charge of a 2p electron of N (3.9) and O (4.55), showing that pairing repulsion, not Z effective, puts nitrogen above oxygen.https://rankdeterminant.com/media/v/chem-u9-ch6-c4.mp4?v=aa3a6d6b37-f9eac25042026-10-17yes https://rankdeterminant.com/v/chem-u9-ch7-c1https://rankdeterminant.com/media/v/chem-u9-ch7-c1.jpg?v=a5b56ed611-734a55Overview | JEE Chemistry (English)How to use the Classification of Elements and Periodicity problem bank: Part A as a 30-minute JEE Main test after Chapters 1 to 6, Part B at JEE Advanced level, Part C concept checks (can ionisation enthalpy be negative, can electron gain enthalpy be positive), and two solved problems: an isoelectronic radius order, and identifying N, O and F from their first ionisation enthalpies.https://rankdeterminant.com/media/v/chem-u9-ch7-c1.mp4?v=a5b56ed611-734a555072026-10-17yes https://rankdeterminant.com/v/chem-u9-ch7-c2https://rankdeterminant.com/media/v/chem-u9-ch7-c2.jpg?v=58f06b5137-7bedbfPart A: JEE Main Level | JEE Chemistry (English)Two JEE Main-level periodicity problems solved step by step: arranging Al3+, Mg2+, Na+ and F- in increasing radius with the isoelectronic rule, and N, O, F and Ne in increasing first ionisation enthalpy, with the half-filled 2p dip that puts oxygen below nitrogen. Also: why group 1 is lowest in each period, and the Be > B and Mg > Al exceptions.https://rankdeterminant.com/media/v/chem-u9-ch7-c2.mp4?v=58f06b5137-7bedbf5162026-10-17yes https://rankdeterminant.com/v/chem-u9-ch7-c4https://rankdeterminant.com/media/v/chem-u9-ch7-c4.jpg?v=4478a870fc-291c23Part C: Concept Checks | JEE Chemistry (English)Four periodicity concept checks of the kind often tested in statement form: why ionisation enthalpy is never negative, when electron gain enthalpy is positive (noble gases, group 2, nitrogen and every second electron gain), why isotopes have the same atomic radius, and why hydrogen is hard to place in the periodic table. With the classic traps for JEE Main.https://rankdeterminant.com/media/v/chem-u9-ch7-c4.mp4?v=4478a870fc-291c235142026-10-17yes https://rankdeterminant.com/v/math-u1-ch1-c1https://rankdeterminant.com/media/v/math-u1-ch1-c1.jpg?v=e552c5fd53What is a Set? | JEE Maths (English)What makes a collection a set? Learn what well-defined means, the symbols for belongs to and does not belong to, the standard number sets N, W, Z, Q, R and C, the JEE traps about zero, the set containing 5 and 22/7, the topper's smallest-box trick, and two solved examples from Class 11 Sets.https://rankdeterminant.com/media/v/math-u1-ch1-c1.mp4?v=e552c5fd535442026-10-13yes https://rankdeterminant.com/v/math-u1-ch1-c10https://rankdeterminant.com/media/v/math-u1-ch1-c10.jpg?v=ccafa0574cChapter Summary: Mixed Solved Problems on Sets | JEE Maths (English)A chapter-summary class on sets, taught like a live JEE class: the ALLAHABAD subsets trap, odd-sized subsets, why the universe changes the answer, endpoints in interval differences, checking three-set data, counting ordered pairs of subsets element by element, and a hard double counting problem.https://rankdeterminant.com/media/v/math-u1-ch1-c10.mp4?v=ccafa0574c5342026-10-13yes https://rankdeterminant.com/v/math-u1-ch1-c2https://rankdeterminant.com/media/v/math-u1-ch1-c2.jpg?v=f173cc637fRepresentation of Sets | JEE Maths (English)Learn the two ways to write a set: roster (tabular) form and set-builder form. The rules of roster form (order and repetition), the topper's n-th term trick to turn roster into set-builder, the solve-then-filter method for set-builder to roster, and two JEE-style solved examples with the classic integer-filter trap.https://rankdeterminant.com/media/v/math-u1-ch1-c2.mp4?v=f173cc637f5572026-10-13yes https://rankdeterminant.com/v/math-u1-ch1-c3https://rankdeterminant.com/media/v/math-u1-ch1-c3.jpg?v=a150b5e266Types of Sets | JEE Maths (English)Types of sets for JEE Main and Class 11: the empty (null) set, singleton sets, finite and infinite sets, the cardinal number n(A), equal vs equivalent sets and disjoint sets. Plus the classic trap of the empty set vs the set containing zero vs the set containing the empty set, and two JEE-style solved problems.https://rankdeterminant.com/media/v/math-u1-ch1-c3.mp4?v=a150b5e2665392026-10-13yes https://rankdeterminant.com/v/math-u1-ch1-c4https://rankdeterminant.com/media/v/math-u1-ch1-c4.jpg?v=c2c8db2e8dSubsets, Intervals and Power Set | JEE Maths (English)Why a set with n elements has 2^n subsets, 2^n - 1 proper subsets and 2^n - 2 non-empty proper subsets; the power set and the power set of the empty set; the element-of versus subset-of trap; open, closed and semi-open intervals; and two solved problems, including a JEE Main 2022 question on counting subsets.https://rankdeterminant.com/media/v/math-u1-ch1-c4.mp4?v=c2c8db2e8d5212026-10-13yes https://rankdeterminant.com/v/math-u1-ch1-c5https://rankdeterminant.com/media/v/math-u1-ch1-c5.jpg?v=4300bdaa75Universal Set and Venn Diagrams | JEE Maths (English)What a universal set is, how to choose one for a given discussion, and how Venn diagrams draw sets as circles inside a rectangle, with overlaps for common elements. Includes the classic trap of picking the natural numbers for primes and negative integers, and two solved questions for JEE Main and Class 11 Sets.https://rankdeterminant.com/media/v/math-u1-ch1-c5.mp4?v=4300bdaa755122026-10-13yes https://rankdeterminant.com/v/math-u1-ch1-c6https://rankdeterminant.com/media/v/math-u1-ch1-c6.jpg?v=3975876551-0268a6Operations on Sets | JEE Maths (English)Union, intersection, difference, complement and symmetric difference of sets, taught like a live JEE class: a Venn diagram for each operation, A − B = A ∩ B′, the subset chain, the classic traps (A − B is not B − A, the complement depends on U) and two solved examples, one with interval end points.https://rankdeterminant.com/media/v/math-u1-ch1-c6.mp4?v=3975876551-0268a65502026-10-16yes https://rankdeterminant.com/v/math-u1-ch1-c7https://rankdeterminant.com/media/v/math-u1-ch1-c7.jpg?v=a85608458dLaws of the Algebra of Sets | JEE Maths (English)All the laws of the algebra of sets for JEE: commutative, associative, distributive, identity, domination, idempotent, complement, absorption and De Morgan's laws with a Venn diagram proof, three quick ways to test any set identity, and two solved problems, including the AIEEE 2009 question on cancelling A from A union B equals A union C.https://rankdeterminant.com/media/v/math-u1-ch1-c7.mp4?v=a85608458d5562026-10-13yes https://rankdeterminant.com/v/math-u1-ch1-c8https://rankdeterminant.com/media/v/math-u1-ch1-c8.jpg?v=7f7e90c6d9Counting: Number of Elements in Unions | JEE Maths (English)How to count the elements of A union B and of three sets without double counting: the inclusion–exclusion formula, only A, exactly one, neither, the topper's centre-outwards Venn trick, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u1-ch1-c8.mp4?v=7f7e90c6d94842026-10-13yes https://rankdeterminant.com/v/math-u1-ch1-c9https://rankdeterminant.com/media/v/math-u1-ch1-c9.jpg?v=3597218cf8Ordered Pairs and Cartesian Product | JEE Maths (English)Ordered pairs and the Cartesian product A × B, taught like a live JEE class: why (1,2) is not (2,1), n(A × B) = n(A)·n(B), the distributive properties, the classic union trap, and two solved problems, including the JEE Main 2015 question on subsets of A × B with at least three elements.https://rankdeterminant.com/media/v/math-u1-ch1-c9.mp4?v=3597218cf85322026-10-13yes https://rankdeterminant.com/v/math-u1-ch2-c1https://rankdeterminant.com/media/v/math-u1-ch2-c1.jpg?v=e9740c285fWhat is a Relation? | JEE Maths (English)What a relation really is: a subset of A × B. Learn domain, range and codomain with an arrow diagram, the five ways to write a relation, why there are 2^(mn) relations from A to B and 2^(m²) on A, the range-versus-codomain trap, and two solved JEE-style examples.https://rankdeterminant.com/media/v/math-u1-ch2-c1.mp4?v=e9740c285f4922026-10-13yes https://rankdeterminant.com/v/math-u1-ch2-c2https://rankdeterminant.com/media/v/math-u1-ch2-c2.jpg?v=3fc3358c58-7e96c2Inverse of a Relation | JEE Maths (English)How to find the inverse of a relation in seconds: reverse every pair (or every arrow), why the domain and range of R inverse swap places, why the inverse of the inverse is R, the inverse of a union and an intersection, the topper's swap-x-and-y trick for rule form, and two solved JEE-style problems, including the inverse of the less than relation and its classic trap.https://rankdeterminant.com/media/v/math-u1-ch2-c2.mp4?v=3fc3358c58-7e96c24712026-10-16yes https://rankdeterminant.com/v/math-u1-ch2-c3https://rankdeterminant.com/media/v/math-u1-ch2-c3.jpg?v=cc23091142-09e6bcTypes of Relations | JEE Maths (English)Types of relations taught like a live JEE class: void, universal and identity relations; reflexive, symmetric, transitive and antisymmetric relations; the topper's roster test with the hidden demand; the empty-relation trap; counting relations with the grid trick; and two solved past exam questions, including JEE Main 2019.https://rankdeterminant.com/media/v/math-u1-ch2-c3.mp4?v=cc23091142-09e6bc5082026-10-16yes https://rankdeterminant.com/v/math-u1-ch2-c4https://rankdeterminant.com/media/v/math-u1-ch2-c4.jpg?v=52e80d90c5Equivalence Relations | JEE Maths (English)What makes a relation an equivalence relation: reflexive, symmetric and transitive. Learn the same-value (phi) trick that proves it in one line, the famous wrong proof that symmetric and transitive give reflexive, intersection versus union, and two JEE-style solved problems including counting n(R).https://rankdeterminant.com/media/v/math-u1-ch2-c4.mp4?v=52e80d90c55522026-10-14yes https://rankdeterminant.com/v/math-u1-ch2-c5https://rankdeterminant.com/media/v/math-u1-ch2-c5.jpg?v=39d2ea71a6-edd4ceEquivalence Classes and Partitions | JEE Maths (English)Equivalence classes and partitions taught like a live JEE class: what the class [a] is, why two classes are either identical or disjoint, how every equivalence relation cuts a set into blocks, Bell and Stirling numbers for counting equivalence relations, n(R) as a sum of squares, and two solved problems with the classic halving trap.https://rankdeterminant.com/media/v/math-u1-ch2-c5.mp4?v=39d2ea71a6-edd4ce5202026-10-15yes https://rankdeterminant.com/v/math-u1-ch2-c6https://rankdeterminant.com/media/v/math-u1-ch2-c6.jpg?v=3a5eecc1e9Composition of Relations and Partial Orders | JEE Maths (English)How to find the composition of two relations by following two arrows in a row, why S o R is not the same as R o S, the socks-and-shoes rule for the inverse of a composition, reflexive, symmetric and transitive written with composition, partial orders with their standard examples, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/math-u1-ch2-c6.mp4?v=3a5eecc1e94872026-10-13yes https://rankdeterminant.com/v/math-u1-ch2-c7https://rankdeterminant.com/media/v/math-u1-ch2-c7.jpg?v=8af374906c-734f57Chapter Summary: Mixed Solved Problems on Relations | JEE Maths (English)A chapter-summary class on relations, taught like a live JEE class: loops and mirror pairs, the minimum pairs to make a relation transitive, the famous wrong proof that symmetric and transitive means reflexive, the same-value trick for equivalence relations, and two solved problems on divides pairs, including a JEE Main 2023 question with a classic trap.https://rankdeterminant.com/media/v/math-u1-ch2-c7.mp4?v=8af374906c-734f574982026-10-16yes https://rankdeterminant.com/v/math-u1-ch3-c1https://rankdeterminant.com/media/v/math-u1-ch3-c1.jpg?v=ec14b4acc0What is a Function? | JEE Maths (English)What makes a relation a function: every element of the domain has exactly one image. Learn the two conditions to check, image and pre-image, domain, codomain and range, the vertical line test, the number of functions from A to B, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u1-ch3-c1.mp4?v=ec14b4acc05112026-10-13yes https://rankdeterminant.com/v/math-u1-ch3-c2https://rankdeterminant.com/media/v/math-u1-ch3-c2.jpg?v=782e70df68Domain of Real Functions | JEE Maths (English)How to find the domain of any real function for JEE: the one condition for each part of a formula (denominators, even roots, logs, a log with a variable base, sine and cos inverse, nCr), why the domain is the intersection, the topper's wavy curve method, the log inequality trap, and two solved problems including JEE Main 2019.https://rankdeterminant.com/media/v/math-u1-ch3-c2.mp4?v=782e70df685382026-10-13yes https://rankdeterminant.com/v/math-u1-ch3-c3https://rankdeterminant.com/media/v/math-u1-ch3-c3.jpg?v=a5db143dbdFinding the Range | JEE Maths (English)How to find the range of a function for JEE: build up from known ranges, solve for x and check the domain, and the discriminant method with its two classic traps. Plus the topper's shortcut for (ax+b)/(cx+d), and two solved problems, including the JEE Main 2017 question on x/(1+x²).https://rankdeterminant.com/media/v/math-u1-ch3-c3.mp4?v=a5db143dbd5142026-10-13yes https://rankdeterminant.com/v/math-u1-ch3-c4https://rankdeterminant.com/media/v/math-u1-ch3-c4.jpg?v=38b0e03494Standard Real Functions and Their Graphs | JEE Maths (English)Domain and range of every standard function in one look: identity, constant, reciprocal, square root, modulus, signum, greatest integer, fractional part, exponential and logarithm. Learn why [-2.3] is -3 and not -2, why the fractional part is never negative, the root of x squared trap, the topper's trick for [x] and {x} equations, and two solved JEE problems.https://rankdeterminant.com/media/v/math-u1-ch3-c4.mp4?v=38b0e034945222026-10-13yes https://rankdeterminant.com/v/math-u1-ch3-c5https://rankdeterminant.com/media/v/math-u1-ch3-c5.jpg?v=dacbdcc875Algebra of Real Functions | JEE Maths (English)How to add, subtract, multiply and divide two real functions, why f+g, fg and f/g live only on the intersection of the two domains, why f/g also drops every x where g(x) is zero, the root x minus root x domain trap, and two solved JEE-style problems with their domains.https://rankdeterminant.com/media/v/math-u1-ch3-c5.mp4?v=dacbdcc8755022026-10-13yes https://rankdeterminant.com/v/math-u1-ch4-c1https://rankdeterminant.com/media/v/math-u1-ch4-c1.jpg?v=4d62ecb00b-42e1bfOne-one and Many-one Functions | JEE Maths (English)How to check whether a function is one-one (injective) or many-one: the definition, the algebra test, a single counterexample, the horizontal line test, strictly increasing functions and the derivative, the topper's even-function and even-degree trick, and two JEE-style solved problems with the classic domain trap.https://rankdeterminant.com/media/v/math-u1-ch4-c1.mp4?v=4d62ecb00b-42e1bf5472026-10-16yes https://rankdeterminant.com/v/math-u1-ch4-c2https://rankdeterminant.com/media/v/math-u1-ch4-c2.jpg?v=eb90bae8c3-24b81aOnto and Into Functions; Bijections | JEE Maths (English)What makes a function onto (surjective), into or a bijection: range versus codomain, why x squared is into from R to R but onto from R to [0, infinity), the counting trick for finite sets, and two solved problems, including a JEE Main 2019 question on injective and surjective functions.https://rankdeterminant.com/media/v/math-u1-ch4-c2.mp4?v=eb90bae8c3-24b81a4982026-10-16yes https://rankdeterminant.com/v/math-u1-ch4-c3https://rankdeterminant.com/media/v/math-u1-ch4-c3.jpg?v=d2e23f6b6a-c968d4Counting Special Functions | JEE Maths (English)How to count functions from a set with m elements to a set with n elements: all functions, one-one, many-one, bijections, constant, onto and into functions, the inclusion–exclusion idea behind the onto formula, the topper's grouping check, and two solved problems including JEE Advanced 2018.https://rankdeterminant.com/media/v/math-u1-ch4-c3.mp4?v=d2e23f6b6a-c968d45072026-10-16yes https://rankdeterminant.com/v/math-u1-ch4-c4https://rankdeterminant.com/media/v/math-u1-ch4-c4.jpg?v=a5d0d960bf-e632e2Composition of Functions | JEE Maths (English)Composition of functions for JEE: what g∘f means and why f acts first, why fog and gof are usually different, the domain of a composite and the trap of simplifying first, the rules (associative, identity, one-one and onto), and two solved problems, including f composed 2025 times.https://rankdeterminant.com/media/v/math-u1-ch4-c4.mp4?v=a5d0d960bf-e632e24942026-10-16yes https://rankdeterminant.com/v/math-u1-ch4-c5https://rankdeterminant.com/media/v/math-u1-ch4-c5.jpg?v=9b819f685e-3a6db6Inverse of a Function | JEE Maths (English)How to find the inverse of a function: when an inverse exists (one-one and onto), the domain and range of f inverse, why the inverse of g of f reverses the order, the three-step recipe, the mirror image in the line y = x, the topper's trick for solving f(x) = f inverse(x), the minus x cubed case where it fails, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u1-ch4-c5.mp4?v=9b819f685e-3a6db65132026-10-16yes https://rankdeterminant.com/v/math-u1-ch4-c6https://rankdeterminant.com/media/v/math-u1-ch4-c6.jpg?v=3ee1341517-d3548aEven and Odd Functions | JEE Maths (English)How to test whether a function is even, odd or neither: the f(-x) test, symmetry about the y-axis and about the origin, why odd times odd is even, the composition rules, why an odd function has f(0) = 0, splitting any function into an even part and an odd part, and two solved JEE-style problems, including JEE Main 2019.https://rankdeterminant.com/media/v/math-u1-ch4-c6.mp4?v=3ee1341517-d3548a4882026-10-16yes https://rankdeterminant.com/v/math-u1-ch4-c7https://rankdeterminant.com/media/v/math-u1-ch4-c7.jpg?v=063cdc5f8dSimple Functional Equations | JEE Maths (English)How to solve functional equations for JEE: substitute clever values like 0, 1, -x and 1/x, turn one rule into a system and solve it, the standard forms f(x+y)=f(x)+f(y), f(x+y)=f(x)f(y), f(xy)=f(x)+f(y) and f(xy)=f(x)f(y), and two solved problems, including JEE Main 2016, with the classic sign and sum traps.https://rankdeterminant.com/media/v/math-u1-ch4-c7.mp4?v=063cdc5f8d4782026-10-13yes https://rankdeterminant.com/v/math-u1-ch5-c1https://rankdeterminant.com/media/v/math-u1-ch5-c1.jpg?v=6cef1bc126Overview | JEE Maths (English)How to use the unit problem bank for Sets, Relations and Functions like a real JEE paper: mixed problems in no order of topic, a timer of about 2 minutes for easy, 3 to 4 for medium and 6 to 8 for hard problems, the write-your-answer-first rule, and two solved problems on De Morgan's law and divisibility counting.https://rankdeterminant.com/media/v/math-u1-ch5-c1.mp4?v=6cef1bc1264502026-10-13yes https://rankdeterminant.com/v/math-u1-ch5-c2https://rankdeterminant.com/media/v/math-u1-ch5-c2.jpg?v=75dd5874d1Part A: Sets | JEE Maths (English)A mixed problem class on sets, taught like a live JEE class: the least and greatest size of a union, neither A nor B with De Morgan's law, the topper's trick for counting subsets and chains of subsets, the e to the x curves trap, a gcd counting question, and the classic puzzle of how many people must read all three newspapers.https://rankdeterminant.com/media/v/math-u1-ch5-c2.mp4?v=75dd5874d14912026-10-13yes https://rankdeterminant.com/v/math-u1-ch5-c3https://rankdeterminant.com/media/v/math-u1-ch5-c3.jpg?v=f8732c60f2Part B: Relations | JEE Maths (English)Mixed solved problems on relations for JEE Main and Advanced, taught like a live class: testing a listed relation with loops, mirror pairs and two-step paths, equivalence classes and the sum of squares check, the same remainder trick, counting reflexive and symmetric relations with forced and free cells, and the classic neither reflexive nor symmetric trap.https://rankdeterminant.com/media/v/math-u1-ch5-c3.mp4?v=f8732c60f25232026-10-13yes https://rankdeterminant.com/v/math-u1-ch5-c4https://rankdeterminant.com/media/v/math-u1-ch5-c4.jpg?v=3bdc16fb18Part C: Functions | JEE Maths (English)Mixed JEE problems on functions, solved step by step: why the order of composition matters (greatest integer and modulus), a function that is its own inverse and the d = -a shortcut, finding every f with f(f(x)) = 4x + 9, and the IIT-JEE 1995 question on where f meets its inverse.https://rankdeterminant.com/media/v/math-u1-ch5-c4.mp4?v=3bdc16fb184782026-10-13yes https://rankdeterminant.com/v/math-u1-ch5-c5https://rankdeterminant.com/media/v/math-u1-ch5-c5.jpg?v=ee38a77ac9Part D: Assertion–Reason and Concept Checks | JEE Maths (English)How to crack true or false and assertion reason questions on sets, relations and functions: why one counterexample is enough, the empty set trick, the symmetric and transitive but not reflexive trap, the union of transitive relations, and one-one and onto composite functions, with two solved JEE-style sets of statements.https://rankdeterminant.com/media/v/math-u1-ch5-c5.mp4?v=ee38a77ac95322026-10-13yes https://rankdeterminant.com/v/math-u10-ch1-c1https://rankdeterminant.com/media/v/math-u10-ch1-c1.jpg?v=4047fbe71f-6d1677Distance and Section Formulae | JEE Maths (English)Distance and section formulae for JEE coordinate geometry: the distance formula from Pythagoras, the section formula for internal and external division (replace n by -n), the mid-point, the parallelogram rule A + C = B + D for the fourth vertex, the ratio -y1 : y2 in which the x-axis cuts a line, and two solved course problems with the classic sign traps.https://rankdeterminant.com/media/v/math-u10-ch1-c1.mp4?v=4047fbe71f-6d16774552026-10-20yes https://rankdeterminant.com/v/math-u10-ch1-c2https://rankdeterminant.com/media/v/math-u10-ch1-c2.jpg?v=70f2c080f7-afdff2Area and Collinearity | JEE Maths (English)How to find the area of a triangle from its three vertices in coordinate geometry: the formula and its cyclic subscript pattern, the determinant form, why the half and the modulus matter, the zero-area test for collinear points with the mid-point shortcut, the shoelace sum for any polygon, and three solved course problems step by step.https://rankdeterminant.com/media/v/math-u10-ch1-c2.mp4?v=70f2c080f7-afdff25082026-10-20yes https://rankdeterminant.com/v/math-u10-ch1-c3https://rankdeterminant.com/media/v/math-u10-ch1-c3.jpg?v=dddd6a3de8-c3135bCentres of a Triangle | JEE Maths (English)The four centres of a triangle in coordinate geometry for JEE Maths: the centroid as the average of the vertices, the incentre with weights a, b, c from the opposite sides, the circumcentre and orthocentre of a right triangle, and the Euler line with HG : GO = 2 : 1, so H = 3G - 2O. Two solved problems from the course, with the classic traps.https://rankdeterminant.com/media/v/math-u10-ch1-c3.mp4?v=dddd6a3de8-c3135b4742026-10-20yes https://rankdeterminant.com/v/math-u10-ch1-c4https://rankdeterminant.com/media/v/math-u10-ch1-c4.jpg?v=5dd014cf90-6ac390Locus and Change of Axes | JEE Maths (English)How to find the locus of a moving point in JEE coordinate geometry: call it (h, k), write the condition, eliminate the parameter and replace (h, k) by (x, y). Then the shift of origin and rotation of axes formulas, with two solved course problems: the mid-point of a sliding rod, and xy = 2 with the axes turned through 45 degrees.https://rankdeterminant.com/media/v/math-u10-ch1-c4.mp4?v=5dd014cf90-6ac3905022026-10-20yes https://rankdeterminant.com/v/math-u10-ch2-c1https://rankdeterminant.com/media/v/math-u10-ch2-c1.jpg?v=77a1167594-2fdc8cSlope and Forms of a Line | JEE Maths (English)Slope of a line and the forms of its equation for JEE Maths: slope from two points and why a vertical line has none, the slope-intercept, point-slope, two-point, intercept and normal forms, the general form ax + by + c = 0 with slope -a/b, parallel and perpendicular lines (and when m1 m2 = -1 does not apply), the parametric form, and two solved course problems, including the equal-intercepts trap.https://rankdeterminant.com/media/v/math-u10-ch2-c1.mp4?v=77a1167594-2fdc8c5072026-10-20yes https://rankdeterminant.com/v/math-u10-ch2-c2https://rankdeterminant.com/media/v/math-u10-ch2-c2.jpg?v=6d6bfcf9f9-4be36bAngles, Intersections and Families of Lines | JEE Maths (English)Angle between two lines from their slopes and why the modulus gives the acute angle, the perpendicular case and vertical lines, the determinant test for three concurrent lines (and why they must not all be parallel), the family of lines L1 + lambda L2 = 0, how to find the fixed point of a line with a parameter, and two solved course problems.https://rankdeterminant.com/media/v/math-u10-ch2-c2.mp4?v=6d6bfcf9f9-4be36b5052026-10-20yes https://rankdeterminant.com/v/math-u10-ch2-c3https://rankdeterminant.com/media/v/math-u10-ch2-c3.jpg?v=603c7c1e75-1d12e1Distances, Feet of Perpendiculars and Images | JEE Maths (English)Distance of a point from a line and why the formula needs a modulus, the same-side test with the sign of ax + by + c, the distance between parallel lines (and the trap of unequal coefficients), the foot of the perpendicular and the image of a point in a line with lambda = 1 and 2, and two solved course problems.https://rankdeterminant.com/media/v/math-u10-ch2-c3.mp4?v=603c7c1e75-1d12e14872026-10-20yes https://rankdeterminant.com/v/math-u10-ch2-c4https://rankdeterminant.com/media/v/math-u10-ch2-c4.jpg?v=348fd954ff-b6f2adAngle Bisectors, Reflection and Shortest Paths | JEE Maths (English)Angle bisectors of two lines from equal distances: the plus-minus formula, which sign gives the bisector of the origin's angle, the a1a2 + b1b2 test for the acute and obtuse bisector (constants of the same sign first), the equal-angle law of reflection, and the shortest path from A to a line to B by reflecting B, with two solved course problems.https://rankdeterminant.com/media/v/math-u10-ch2-c4.mp4?v=348fd954ff-b6f2ad5032026-10-20yes https://rankdeterminant.com/v/math-u10-ch3-c1https://rankdeterminant.com/media/v/math-u10-ch3-c1.jpg?v=93b8dedc2b-096c32Equations of a Circle | JEE Maths (English)Equation of a circle for JEE Maths: the centre-radius form, the general form x^2 + y^2 + 2gx + 2fy + c = 0 with centre (-g, -f) and radius root(g^2 + f^2 - c), when it is a real circle, the diameter form, the parametric form, the intercepts on the axes and when a circle touches the x-axis, with two solved course problems and the sign-of-c trap.https://rankdeterminant.com/media/v/math-u10-ch3-c1.mp4?v=93b8dedc2b-096c324692026-10-20yes https://rankdeterminant.com/v/math-u10-ch3-c2https://rankdeterminant.com/media/v/math-u10-ch3-c2.jpg?v=3e80cee1ab-00b792Points, Lines, Tangents and Chords | JEE Maths (English)Tangents and chords of a circle the fast way: the notation S, S1 and T, inside or outside from the sign of S1, tangent length √S1, secant, tangent or miss from the distance d, chord length 2√(r² − d²), the condition c² = a²(1 + m²), the tangent T = 0, the chord of contact, the mid-point chord T = S1, the director circle, and two solved course problems.https://rankdeterminant.com/media/v/math-u10-ch3-c2.mp4?v=3e80cee1ab-00b7924712026-10-20yes https://rankdeterminant.com/v/math-u10-ch3-c3https://rankdeterminant.com/media/v/math-u10-ch3-c3.jpg?v=91454d4cb8-19b0c0Two Circles and Families of Circles | JEE Maths (English)Two circles made easy: compare the distance between the centres with the sum and the difference of the radii to get 4, 3, 2, 1 or 0 common tangents, the common chord (radical axis) S1 − S2 = 0, orthogonal circles 2g1g2 + 2f1f2 = c1 + c2, the families S + λL = 0 and S1 + λS2 = 0 with λ ≠ −1, and two solved course problems.https://rankdeterminant.com/media/v/math-u10-ch3-c3.mp4?v=91454d4cb8-19b0c04542026-10-20yes https://rankdeterminant.com/v/math-u10-ch4-c1https://rankdeterminant.com/media/v/math-u10-ch4-c1.jpg?v=194bae861c-0d84f0Definition, Standard Forms and Focal Properties | JEE Maths (English)The parabola for JEE Maths: the focus-directrix definition PS = PM with eccentricity e = 1, the standard form y^2 = 4ax with focus (a, 0), directrix x = -a and latus rectum 4a, the parametric point (at^2, 2at), the one-step focal distance x1 + a, the other three standard forms, the shifted vertex form, and two solved course problems with the classic focus trap.https://rankdeterminant.com/media/v/math-u10-ch4-c1.mp4?v=194bae861c-0d84f05072026-10-20yes https://rankdeterminant.com/v/math-u10-ch4-c2https://rankdeterminant.com/media/v/math-u10-ch4-c2.jpg?v=feb3650166-baf2cdTangents, Normals and Chords | JEE Maths (English)Tangents, normals and chords of the parabola y^2 = 4ax for JEE Maths: the tangent at a point and at t, the condition c = a/m for y = mx + c to touch, the normal at t and where it meets the curve again, the chord joining t1 and t2, focal chords with t1t2 = -1 and their length, where two tangents meet, T = 0 and T = S1, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u10-ch4-c2.mp4?v=feb3650166-baf2cd5062026-10-20yes https://rankdeterminant.com/v/math-u10-ch5-c1https://rankdeterminant.com/media/v/math-u10-ch5-c1.jpg?v=a9864f6941-234236Definition and Standard Form | JEE Maths (English)The ellipse for JEE Maths: the definitions PS = e PM with 0 < e < 1 and SP + S'P = 2a, the standard form x^2/a^2 + y^2/b^2 = 1 with b^2 = a^2(1 - e^2), foci (±ae, 0), directrices x = ±a/e, latus rectum 2b^2/a, focal distances a ± ex, the eccentric angle and auxiliary circle, the case b > a, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u10-ch5-c1.mp4?v=a9864f6941-2342364552026-10-20yes https://rankdeterminant.com/v/math-u10-ch5-c2https://rankdeterminant.com/media/v/math-u10-ch5-c2.jpg?v=2ac47aac15-548e17Tangents, Normals and Chords | JEE Maths (English)Tangents, normals and chords of the ellipse x^2/a^2 + y^2/b^2 = 1 for JEE Maths: the tangent at a point and at theta, the condition c^2 = a^2m^2 + b^2 for y = mx + c to touch, the normal, the director circle, the perpendiculars from the foci, the reflection property, T = 0 and T = S1, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u10-ch5-c2.mp4?v=2ac47aac15-548e174842026-10-20yes https://rankdeterminant.com/v/math-u10-ch6-c1https://rankdeterminant.com/media/v/math-u10-ch6-c1.jpg?v=a0cb212559-54f4b1Definition, Standard Form and Asymptotes | JEE Maths (English)The hyperbola for JEE Maths: the definitions PS = e PM with e > 1 and |S'P - SP| = 2a, the standard form x^2/a^2 - y^2/b^2 = 1 with b^2 = a^2(e^2 - 1), foci (±ae, 0), directrices x = ±a/e, latus rectum 2b^2/a, focal distances, the parametric point, asymptotes y = ±(b/a)x, rectangular and conjugate hyperbolas, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u10-ch6-c1.mp4?v=a0cb212559-54f4b15142026-10-20yes https://rankdeterminant.com/v/math-u10-ch6-c2https://rankdeterminant.com/media/v/math-u10-ch6-c2.jpg?v=d214917b70-c612beTangents, Normals and Chords | JEE Maths (English)Tangents, normals and chords of the hyperbola x^2/a^2 - y^2/b^2 = 1 for JEE Maths: the tangent at a point and at theta, the condition c^2 = a^2m^2 - b^2 with |m| > b/a, why no tangent is parallel to an asymptote, the normal, the director circle and when it does not exist, T = 0 and T = S1, and two solved course problems with the classic sign traps.https://rankdeterminant.com/media/v/math-u10-ch6-c2.mp4?v=d214917b70-c612be5052026-10-20yes https://rankdeterminant.com/v/math-u10-ch7-c1https://rankdeterminant.com/media/v/math-u10-ch7-c1.jpg?v=39c0c8c204-ff6b73Overview | JEE Maths (English)How to use the mixed JEE Main-pattern problems in coordinate geometry: three timed sets on lines, circles and conics, with each problem taking about two minutes, shortcuts for right triangles and tangents to a circle, and two solved problems with the classic traps: the distance between parallel lines and the normals of a parabola through a point.https://rankdeterminant.com/media/v/math-u10-ch7-c1.mp4?v=39c0c8c204-ff6b734582026-10-20yes https://rankdeterminant.com/v/math-u10-ch7-c2https://rankdeterminant.com/media/v/math-u10-ch7-c2.jpg?v=44c6e62a66-c5f0d5Mixed Problems: Set 1 (Points and Lines) | JEE Maths (English)Two-minute JEE Main problems on points and lines: the image of a point in a line with the foot-and-image formula, the bisector of the angle that contains the origin and why the constants must first have the same sign, the acute-angle test, and two solved problems from Set 1 with the classic sign traps.https://rankdeterminant.com/media/v/math-u10-ch7-c2.mp4?v=44c6e62a66-c5f0d54782026-10-20yes https://rankdeterminant.com/v/math-u10-ch7-c3https://rankdeterminant.com/media/v/math-u10-ch7-c3.jpg?v=38f64e225e-457ad5Mixed Problems: Set 2 (Circles) | JEE Maths (English)Eight two-minute circle problems for JEE Main and the tool each one needs: the tangent length root S1, distance from the centre equals radius for tangency, the chord length from that distance, the chord of contact T = 0 and the common chord S1 - S2 = 0. The director circle shortcut for the angle between tangents, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u10-ch7-c3.mp4?v=38f64e225e-457ad54532026-10-20yes https://rankdeterminant.com/v/math-u10-ch7-c4https://rankdeterminant.com/media/v/math-u10-ch7-c4.jpg?v=d0455d3888-99afcaMixed Problems: Set 3 (Conics) | JEE Maths (English)Set 3 of the JEE Main conics mixed problems: the standard ellipse and hyperbola and how a, b and e are linked, what changes when the foci lie on the y-axis, the conditions for y = mx + c to touch a parabola, an ellipse and a hyperbola, and two solved problems from the set with the classic sign and axis traps.https://rankdeterminant.com/media/v/math-u10-ch7-c4.mp4?v=d0455d3888-99afca4902026-10-20yes https://rankdeterminant.com/v/math-u10-ch8-c1https://rankdeterminant.com/media/v/math-u10-ch8-c1.jpg?v=6aaab7c211-8d6c2dOverview | JEE Maths (English)How to use the coordinate geometry problem bank: Part A as a 30-minute JEE Main test, Part B longer JEE Advanced problems, Part C concept checks in statement form (two circles with three common points, a line meeting a hyperbola once), with two solved problems: the eccentricity of 16x^2+25y^2=400, and the locus of P when its tangents to y^2=4ax make angles theta and pi/2 - theta with the x-axis.https://rankdeterminant.com/media/v/math-u10-ch8-c1.mp4?v=6aaab7c211-8d6c2d4782026-10-20yes https://rankdeterminant.com/v/math-u10-ch8-c2https://rankdeterminant.com/media/v/math-u10-ch8-c2.jpg?v=e1791b5e5c-6d6a39Part A: JEE Main Level | JEE Maths (English)Part A of the coordinate geometry problem bank at JEE Main level. One tool, completing the square: the general circle with centre (-g, -f) and radius root of g^2 + f^2 - c, and the shifted parabola with vertex (h, k) and latus rectum 4a. Then two solved problems with the classic traps: the radius of x^2 + y^2 + 2x - 4y - 4 = 0 is 3, and x^2 - 4x - 8y + 12 = 0 has vertex (2, 1) and latus rectum 8.https://rankdeterminant.com/media/v/math-u10-ch8-c2.mp4?v=e1791b5e5c-6d6a394712026-10-20yes https://rankdeterminant.com/v/math-u10-ch8-c4https://rankdeterminant.com/media/v/math-u10-ch8-c4.jpg?v=c260abfd3c-31786aPart C: Concept Checks | JEE Maths (English)Four quick concept checks in coordinate geometry for JEE Maths: when a second-degree equation is a circle (equal coefficients, no xy term, g^2 + f^2 - c at least zero, the point circle), how to classify a conic with Delta and h^2 against ab, why a line parallel to an asymptote meets a hyperbola once but is not a tangent, and why two different circles cannot share three points.https://rankdeterminant.com/media/v/math-u10-ch8-c4.mp4?v=c260abfd3c-31786a5152026-10-20yes https://rankdeterminant.com/v/math-u11-ch1-c1https://rankdeterminant.com/media/v/math-u11-ch1-c1.jpg?v=e584ea0511-3e191dCoordinates, Distance and Section Formulae | JEE Maths (English)Coordinates in space for JEE three-dimensional geometry: the eight octants, the distance formula in 3D, the distance of a point from the x-axis and from the xy-plane, the section formula for internal and external division, the ratio -x1 : x2 in which the yz-plane cuts a join, centroids and collinear points, and two solved course problems with the classic sign traps.https://rankdeterminant.com/media/v/math-u11-ch1-c1.mp4?v=e584ea0511-3e191d4942026-10-20yes https://rankdeterminant.com/v/math-u11-ch1-c2https://rankdeterminant.com/media/v/math-u11-ch1-c2.jpg?v=13903086d4-ef8f3dDirection Cosines and Direction Ratios | JEE Maths (English)Direction cosines and direction ratios of a line in space: why l squared plus m squared plus n squared equals one, how to turn direction ratios into direction cosines, direction ratios from two points, the angle between two lines, the perpendicular and parallel tests, and two solved course problems including the one-linear, one-quadratic trick.https://rankdeterminant.com/media/v/math-u11-ch1-c2.mp4?v=13903086d4-ef8f3d5122026-10-20yes https://rankdeterminant.com/v/math-u11-ch1-c3https://rankdeterminant.com/media/v/math-u11-ch1-c3.jpg?v=b1f3162dd3-c1dabbVector Tools: Area, Volume and Coplanarity | JEE Maths (English)Vector tools for JEE three-dimensional geometry: dot and cross product in coordinates, the circle pattern for the cross product and its middle-sign trap, area of a triangle as half the modulus of AB cross AC, the scalar triple product as a determinant, volume of a tetrahedron, and the test for four coplanar points, with two solved course problems.https://rankdeterminant.com/media/v/math-u11-ch1-c3.mp4?v=b1f3162dd3-c1dabb4912026-10-20yes https://rankdeterminant.com/v/math-u11-ch2-c1https://rankdeterminant.com/media/v/math-u11-ch2-c1.jpg?v=6ecb691aa6-2d8491Equations of a Line | JEE Maths (English)Equation of a line in 3D for JEE: the vector form r = a + lambda b, the Cartesian symmetric form, the two-point form, what a zero denominator means, the general point that starts almost every problem, a line as the meeting of two planes, the coefficient trap, and two solved course problems.https://rankdeterminant.com/media/v/math-u11-ch2-c1.mp4?v=6ecb691aa6-2d84914882026-10-20yes https://rankdeterminant.com/v/math-u11-ch2-c2https://rankdeterminant.com/media/v/math-u11-ch2-c2.jpg?v=905dcf1014-3de3b4Angle, Intersection and Coplanarity of Two Lines | JEE Maths (English)Angle between two lines in space from their directions only, with the modulus on top; parallel lines and the same-line trap; the scalar triple product test for coplanar lines; how to find the point of intersection by solving two equations and checking the third; and skew lines, with two solved course problems for JEE Main and Advanced.https://rankdeterminant.com/media/v/math-u11-ch2-c2.mp4?v=905dcf1014-3de3b44812026-10-20yes https://rankdeterminant.com/v/math-u11-ch2-c3https://rankdeterminant.com/media/v/math-u11-ch2-c3.jpg?v=8fabb9d216-2894c2Foot of the Perpendicular, Distance and Image | JEE Maths (English)How to find the foot of the perpendicular from a point to a line in space, the distance of the point from the line with the cross product formula, and the image of the point in the line using the midpoint idea, with the sign trap in reading the line's point and two solved course problems for JEE three-dimensional geometry.https://rankdeterminant.com/media/v/math-u11-ch2-c3.mp4?v=8fabb9d216-2894c24562026-10-20yes https://rankdeterminant.com/v/math-u11-ch2-c4https://rankdeterminant.com/media/v/math-u11-ch2-c4.jpg?v=f0497e769e-c0a9bdShortest Distance Between Two Lines | JEE Maths (English)How to find the shortest distance between two skew lines in space: the common perpendicular, the scalar triple product formula and why it needs a modulus, the separate formula for parallel lines, the coplanarity check to do first, and two solved course problems in vector and Cartesian form for JEE three-dimensional geometry.https://rankdeterminant.com/media/v/math-u11-ch2-c4.mp4?v=f0497e769e-c0a9bd4942026-10-20yes https://rankdeterminant.com/v/math-u11-ch3-c1https://rankdeterminant.com/media/v/math-u11-ch3-c1.jpg?v=ad6f421230-59de90Equations of a Plane | JEE Maths (English)Equation of a plane for JEE: the point and normal form, the general form, the normal form with the distance from the origin, the intercept form, the plane through three points with a cross product or a determinant, planes containing a line and a point, two intersecting or two parallel lines, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u11-ch3-c1.mp4?v=ad6f421230-59de905112026-10-20yes https://rankdeterminant.com/v/math-u11-ch3-c2https://rankdeterminant.com/media/v/math-u11-ch3-c2.jpg?v=713c6586f6-2522b0Angles, Distances, Feet and Images | JEE Maths (English)How to find the distance of a point from a plane, the foot of the perpendicular and the image of a point in a plane, the angle between two planes using their normals, the distance between parallel planes and the same-side test, with two solved course problems and the sign traps students fall for in JEE three-dimensional geometry.https://rankdeterminant.com/media/v/math-u11-ch3-c2.mp4?v=713c6586f6-2522b04952026-10-20yes https://rankdeterminant.com/v/math-u11-ch3-c3https://rankdeterminant.com/media/v/math-u11-ch3-c3.jpg?v=c8cc315891-04610bFamily of Planes Through a Line | JEE Maths (English)How to write every plane through the line of intersection of two planes as P1 + λP2 = 0, why it works and which plane it misses, how one extra condition (a point, a parallel line, a perpendicular plane, an axis, a distance) fixes lambda, rotating a plane through a right angle about the line and its trap, with two solved course problems for JEE three-dimensional geometry.https://rankdeterminant.com/media/v/math-u11-ch3-c3.mp4?v=c8cc315891-04610b5072026-10-20yes https://rankdeterminant.com/v/math-u11-ch3-c4https://rankdeterminant.com/media/v/math-u11-ch3-c4.jpg?v=c2eac2486b-7a60bbA Line and a Plane | JEE Maths (English)How to find the angle between a line and a plane and why the formula uses sine, the conditions for a line to be parallel to a plane, to lie in it or to be perpendicular to it, where a line meets a plane, distance measured along a direction, and the projection and image of a line, with two solved course problems and the cosine trap in JEE three-dimensional geometry.https://rankdeterminant.com/media/v/math-u11-ch3-c4.mp4?v=c2eac2486b-7a60bb4772026-10-20yes https://rankdeterminant.com/v/math-u11-ch4-c1https://rankdeterminant.com/media/v/math-u11-ch4-c1.jpg?v=5ea89c7772-208766Overview | JEE Maths (English)How to use the mixed JEE Main-pattern problems in three-dimensional geometry: three timed sets on points and lines, planes, and lines with planes, about two minutes each, the general point trick, and two solved problems: the foot of the perpendicular from the origin to a plane, and the distance between parallel lines when the skew-lines formula gives 0/0.https://rankdeterminant.com/media/v/math-u11-ch4-c1.mp4?v=5ea89c7772-2087664772026-10-20yes https://rankdeterminant.com/v/math-u11-ch4-c2https://rankdeterminant.com/media/v/math-u11-ch4-c2.jpg?v=97b7f490fa-a1a7cdMixed Problems: Set 1 (Points and Lines) | JEE Maths (English)Mixed JEE Main-pattern problems on points and lines in three-dimensional geometry: the section formula in space, the ratio in which the xy-plane divides a join, the general point of a line, the foot of the perpendicular from a point, and the image of a point in a line, with two solved course problems and the classic sign traps.https://rankdeterminant.com/media/v/math-u11-ch4-c2.mp4?v=97b7f490fa-a1a7cd4742026-10-20yes https://rankdeterminant.com/v/math-u11-ch4-c3https://rankdeterminant.com/media/v/math-u11-ch4-c3.jpg?v=868a9b3d81-cca97aMixed Problems: Set 2 (Planes) | JEE Maths (English)Mixed JEE Main-pattern problems on planes in three-dimensional geometry: reading the normal, a parallel plane through a point, the angle between two planes, the distance of a point from a plane, the distance between parallel planes (make a, b, c the same first), and the plane through the line of intersection of two planes, P1 + λP2 = 0, with two solved course problems and the classic trap.https://rankdeterminant.com/media/v/math-u11-ch4-c3.mp4?v=868a9b3d81-cca97a4822026-10-20yes https://rankdeterminant.com/v/math-u11-ch4-c4https://rankdeterminant.com/media/v/math-u11-ch4-c4.jpg?v=07e68238a9-7ea3d9Mixed Problems: Set 3 (Lines with Planes) | JEE Maths (English)Mixed JEE Main-pattern problems on lines with planes in three-dimensional geometry: reading the direction and the normal, the angle between a line and a plane with sine (not cosine), when a line is parallel to, lies in, or is perpendicular to a plane, the meeting point, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u11-ch4-c4.mp4?v=07e68238a9-7ea3d94562026-10-20yes https://rankdeterminant.com/v/math-u11-ch5-c1https://rankdeterminant.com/media/v/math-u11-ch5-c1.jpg?v=147c3b7422-e3dfdeOverview | JEE Maths (English)How to use the three-dimensional geometry problem bank: Part A as a 30-minute JEE Main test, Part B longer JEE Advanced problems, Part C concept checks in statement form (can 1/2, 1/2, 1/2 be direction cosines?), with two solved problems: the shortest distance between two skew lines, and showing two lines are coplanar and finding their plane.https://rankdeterminant.com/media/v/math-u11-ch5-c1.mp4?v=147c3b7422-e3dfde5182026-10-20yes https://rankdeterminant.com/v/math-u11-ch5-c2https://rankdeterminant.com/media/v/math-u11-ch5-c2.jpg?v=ce1f6963dc-febd5aPart A: JEE Main Level | JEE Maths (English)Part A of the three-dimensional geometry problem bank at JEE Main level. Two tools: the distance of a point from a plane, |ax1 + by1 + cz1 + d| over root of a^2 + b^2 + c^2, and the shortest distance between skew lines from the scalar triple product. Then two solved course problems with the classic traps: (2, 3, 4) is at distance 1 from 3x - 6y + 2z + 11 = 0, and the lines x = y = z and x = 1, y = -z are the square root of 2/3 apart.https://rankdeterminant.com/media/v/math-u11-ch5-c2.mp4?v=ce1f6963dc-febd5a5002026-10-20yes https://rankdeterminant.com/v/math-u11-ch5-c4https://rankdeterminant.com/media/v/math-u11-ch5-c4.jpg?v=ce5d14decf-f04256Part C: Concept Checks | JEE Maths (English)Six quick concept checks in three-dimensional geometry for JEE Maths: two lines perpendicular to a third need not be parallel, why the skew-line formula fails for parallel lines, sine for the angle between a line and a plane, a line parallel to a plane, when 1/2, 1/2, 1/2 can be direction cosines, and the one plane the family P1 + lambda P2 = 0 misses.https://rankdeterminant.com/media/v/math-u11-ch5-c4.mp4?v=ce5d14decf-f042564972026-10-20yes https://rankdeterminant.com/v/math-u12-ch1-c1https://rankdeterminant.com/media/v/math-u12-ch1-c1.jpg?v=d50e0431d5-d6f534Scalars, Vectors and Types of Vectors | JEE Maths (English)Scalars and vectors for JEE vector algebra: magnitude and direction, the notation for a directed segment AB, the zero vector, the unit vector a hat (a over its modulus, only for a non-zero vector), equal and negative vectors, free vectors, co-initial, collinear (like and unlike) and coplanar vectors, with two solved course problems and the classic traps.https://rankdeterminant.com/media/v/math-u12-ch1-c1.mp4?v=d50e0431d5-d6f5344942026-10-20yes https://rankdeterminant.com/v/math-u12-ch1-c2https://rankdeterminant.com/media/v/math-u12-ch1-c2.jpg?v=7fa4eb34ab-c02efeAddition, Subtraction and Scalar Multiples | JEE Maths (English)How vectors add by the triangle and parallelogram laws, the polygon law for closed figures, why vector AB is b minus a, scalar multiples and the triangle inequality, with two solved course problems: the limits for the sum of vectors of lengths 3 and 5, and the sides and diagonals of a regular hexagon in terms of two vectors.https://rankdeterminant.com/media/v/math-u12-ch1-c2.mp4?v=7fa4eb34ab-c02efe4862026-10-21yes https://rankdeterminant.com/v/math-u12-ch1-c3https://rankdeterminant.com/media/v/math-u12-ch1-c3.jpg?v=c6519ad7de-f43417Components, Position Vectors and the Section Formula | JEE Maths (English)Components, position vectors and the section formula for JEE vector algebra: the modulus from components, direction cosines and the unit vector, AB as terminal minus initial, the parallel condition, internal and external division, midpoint, centroid, incentre and angle bisectors, with two solved course problems and the classic weight trap.https://rankdeterminant.com/media/v/math-u12-ch1-c3.mp4?v=c6519ad7de-f434174752026-10-20yes https://rankdeterminant.com/v/math-u12-ch1-c4https://rankdeterminant.com/media/v/math-u12-ch1-c4.jpg?v=f116afed8e-80f888Collinearity, Coplanarity and Linear Combinations | JEE Maths (English)Collinear and coplanar vectors for JEE vector algebra: linear combinations, linear independence of two and three vectors, the unique form that lets you compare coefficients, the test for three collinear points and four coplanar points with coefficients adding to zero, and two solved course problems with the common traps.https://rankdeterminant.com/media/v/math-u12-ch1-c4.mp4?v=f116afed8e-80f8884932026-10-20yes https://rankdeterminant.com/v/math-u12-ch1-c5https://rankdeterminant.com/media/v/math-u12-ch1-c5.jpg?v=db34065f32-7af65cVector Methods in Geometry | JEE Maths (English)How to prove geometry results with vectors for JEE: choose an origin, name independent vectors, write every point in terms of them, then compare coefficients. Why coefficients can be compared only for non-collinear vectors, the parallelogram diagonals proof, and a solved problem on the ratios in which two lines cut each other.https://rankdeterminant.com/media/v/math-u12-ch1-c5.mp4?v=db34065f32-7af65c4642026-10-20yes https://rankdeterminant.com/v/math-u12-ch2-c1https://rankdeterminant.com/media/v/math-u12-ch2-c1.jpg?v=9c72e26229-2f5988Definition, Properties and Angles | JEE Maths (English)The scalar (dot) product for JEE vector algebra: a dot b equals mod a mod b cos theta, the component formula, i hat dot i hat and i hat dot j hat, the properties, the angle between two vectors (acute, obtuse, perpendicular), squaring the modulus of a sum, the no-cancelling trap, and two solved course problems.https://rankdeterminant.com/media/v/math-u12-ch2-c1.mp4?v=9c72e26229-2f59885212026-10-20yes https://rankdeterminant.com/v/math-u12-ch2-c2https://rankdeterminant.com/media/v/math-u12-ch2-c2.jpg?v=72c9708fbc-f188ebProjections, Components and Work | JEE Maths (English)Scalar and vector projection of one vector on another for JEE: why the projection is a dot b hat, why it is negative for an obtuse angle, the classic modulus-squared trap, splitting a vector into parallel and perpendicular parts, the distance of a point from a line, and work done as F dot d, with two solved problems.https://rankdeterminant.com/media/v/math-u12-ch2-c2.mp4?v=72c9708fbc-f188eb4932026-10-20yes https://rankdeterminant.com/v/math-u12-ch2-c3https://rankdeterminant.com/media/v/math-u12-ch2-c3.jpg?v=45f01cf6f9-3c57e3Magnitudes, Extremes, Bisectors and Geometry | JEE Maths (English)Parallelogram law of vectors, the Cauchy–Schwarz inequality and the greatest value of px+qy+rz without calculus, the sum and difference of two unit vectors, internal and external angle bisectors along a-hat plus b-hat and a-hat minus b-hat, and two solved JEE-style problems with the common traps.https://rankdeterminant.com/media/v/math-u12-ch2-c3.mp4?v=45f01cf6f9-3c57e34872026-10-20yes https://rankdeterminant.com/v/math-u12-ch3-c1https://rankdeterminant.com/media/v/math-u12-ch3-c1.jpg?v=d44a376e77-d95fa2Definition, Properties and Computation | JEE Maths (English)The vector (cross) product for JEE vector algebra: a cross b equals mod a mod b sin theta n hat, the right-hand rule, the parallelogram area, i hat cross j hat, the determinant formula, why b cross a is minus a cross b, Lagrange's identity, unit vectors perpendicular to both, the no-cancelling trap, and two solved course problems.https://rankdeterminant.com/media/v/math-u12-ch3-c1.mp4?v=d44a376e77-d95fa24912026-10-20yes https://rankdeterminant.com/v/math-u12-ch3-c2https://rankdeterminant.com/media/v/math-u12-ch3-c2.jpg?v=552a10bba9-00dca9Areas, Collinearity, Distances and Moments | JEE Maths (English)Use the cross product for geometry: area of a parallelogram from its sides or its diagonals, area of a triangle and a plane quadrilateral, the collinearity test, the distance of a point from a line in space, and the moment of a force, with two solved JEE-style problems and the common traps.https://rankdeterminant.com/media/v/math-u12-ch3-c2.mp4?v=552a10bba9-00dca94672026-10-20yes https://rankdeterminant.com/v/math-u12-ch3-c3https://rankdeterminant.com/media/v/math-u12-ch3-c3.jpg?v=25c8e7d42c-289cfeSolving Vector Equations | JEE Maths (English)How to solve vector equations for JEE: why you cannot cancel a in r cross a = b cross a, why r = b + t a, when a cross x = b has a solution (a dot b = 0), the formula x = (c a + b cross a) over mod a squared, the dot-or-cross topper's trick, and two solved course problems with checks.https://rankdeterminant.com/media/v/math-u12-ch3-c3.mp4?v=25c8e7d42c-289cfe4872026-10-20yes https://rankdeterminant.com/v/math-u12-ch4-c1https://rankdeterminant.com/media/v/math-u12-ch4-c1.jpg?v=e8ed1997d4-1ffb90The Scalar Triple Product | JEE Maths (English)The scalar triple product for JEE vector algebra: a dot (b cross c) as a determinant, why its modulus is the volume of a parallelepiped, the cyclic property and the sign change on a swap, the coplanarity test for vectors and four points, the one sixth for a tetrahedron, a topper's trick for combinations, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u12-ch4-c1.mp4?v=e8ed1997d4-1ffb905192026-10-20yes https://rankdeterminant.com/v/math-u12-ch4-c2https://rankdeterminant.com/media/v/math-u12-ch4-c2.jpg?v=31a4f3be92-bacb89The Vector Triple Product and Identities | JEE Maths (English)The vector triple product a cross (b cross c) explained: why the cross product is not associative, why the answer lies in the plane of b and c, the outer dot far, times near memory rule, (a cross b) cross c, the dot and cross of two cross products, the Jacobi identity, and two JEE-style solved problems with the common sign trap.https://rankdeterminant.com/media/v/math-u12-ch4-c2.mp4?v=31a4f3be92-bacb894942026-10-20yes https://rankdeterminant.com/v/math-u12-ch4-c3https://rankdeterminant.com/media/v/math-u12-ch4-c3.jpg?v=b0091da57e-cf820dReciprocal Systems and Vector Equations | JEE Maths (English)How to build the reciprocal system of three non-coplanar vectors for JEE: a prime equals b cross c over the scalar triple product [a b c], why a dot a prime is 1 and every mixed dot product is 0, how to write any vector r from r dot a, r dot b and r dot c, the trap in solving r dot a = p, r dot b = q, r dot c = s, and two solved course examples.https://rankdeterminant.com/media/v/math-u12-ch4-c3.mp4?v=b0091da57e-cf820d4972026-10-20yes https://rankdeterminant.com/v/math-u12-ch5-c1https://rankdeterminant.com/media/v/math-u12-ch5-c1.jpg?v=d9feb8f9c9-ca68b7Overview | JEE Maths (English)How to use the vector algebra mixed problems for JEE Main: the four common question types (an angle or projection, an area, a vector equation like r cross a = b cross a, a triple-product identity), where the real 2021–2026 questions are, a one to two minute target per problem, and two solved problems: the angle from |a + b|, and why you can never cancel a vector.https://rankdeterminant.com/media/v/math-u12-ch5-c1.mp4?v=d9feb8f9c9-ca68b74172026-10-20yes https://rankdeterminant.com/v/math-u12-ch5-c2https://rankdeterminant.com/media/v/math-u12-ch5-c2.jpg?v=66c62c971d-2aa0d8Mixed Problems: Set 1 (Algebra and Dot Product) | JEE Maths (English)Mixed JEE Main-pattern problems on vector algebra and the dot product: the dot product and the angle between two vectors, the perpendicular condition for non-zero vectors, the square-the-modulus trick for the modulus of a plus or minus b, the triangle inequality, and two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u12-ch5-c2.mp4?v=66c62c971d-2aa0d84692026-10-20yes https://rankdeterminant.com/v/math-u12-ch5-c3https://rankdeterminant.com/media/v/math-u12-ch5-c3.jpg?v=4c4b458cc5-a9e699Mixed Problems: Set 2 (Cross Product and Areas) | JEE Maths (English)Mixed JEE Main-pattern problems on the cross product: the component formula, b cross a equals minus a cross b, the area of a parallelogram from its sides or diagonals, the area of a triangle, Lagrange's identity and the plus-or-minus traps, with two solved problems: a triangle with one vertex at the origin, and a parallelogram on unit vectors at 30 degrees.https://rankdeterminant.com/media/v/math-u12-ch5-c3.mp4?v=4c4b458cc5-a9e6994712026-10-20yes https://rankdeterminant.com/v/math-u12-ch5-c4https://rankdeterminant.com/media/v/math-u12-ch5-c4.jpg?v=61ba51f276-c2492aMixed Problems: Set 3 (Triple Products and Vector Equations) | JEE Maths (English)Mixed JEE Main-pattern problems on triple products: the scalar triple product as a determinant and as the volume of a parallelepiped, the coplanarity condition, the vector triple product expansion with the outer dot far rule, why the bracket position matters, and two solved course problems: finding lambda for coplanar vectors, and angles from a vector equation.https://rankdeterminant.com/media/v/math-u12-ch5-c4.mp4?v=61ba51f276-c2492a4752026-10-20yes https://rankdeterminant.com/v/math-u12-ch6-c1https://rankdeterminant.com/media/v/math-u12-ch6-c1.jpg?v=faa660520f-29ae14Overview | JEE Maths (English)How to use the vector algebra problem bank: Part A as a 30-minute JEE Main test, Part B JEE Advanced problems that combine ideas, Part C true-or-false concept checks (a dot b = 0 and a cross b = 0 together, is the cross product associative?), and two solved problems: the angle between a and b when a + b + c = 0, and |a + b + c| when each vector is perpendicular to the sum of the other two.https://rankdeterminant.com/media/v/math-u12-ch6-c1.mp4?v=faa660520f-29ae144802026-10-20yes https://rankdeterminant.com/v/math-u12-ch6-c2https://rankdeterminant.com/media/v/math-u12-ch6-c2.jpg?v=cc76a656ef-c07475Part A: JEE Main Level | JEE Maths (English)Part A of the vector algebra problem bank at JEE Main level. Two tools: the dot product, with the angle and the perpendicular test for non-zero vectors, and the cross product, with |a x b| = |a||b| sin theta and Lagrange's identity. Then two solved course problems with their traps: |a x b| = 6 root 2 when |a| = 4, |b| = 3 and a . b = 6 root 2, and x = -1 when |a + b| = |a - b|.https://rankdeterminant.com/media/v/math-u12-ch6-c2.mp4?v=cc76a656ef-c074754952026-10-20yes https://rankdeterminant.com/v/math-u12-ch6-c4https://rankdeterminant.com/media/v/math-u12-ch6-c4.jpg?v=8ecf3e11be-f46c24Part C: Concept Checks | JEE Maths (English)Six quick concept checks in vector algebra for JEE Maths: when a dot b equals mod a mod b, what a zero dot product and a zero cross product together mean, why swapping two vectors flips the sign of the scalar triple product, when the two projections are equal, why the cross product is not associative, and when a cross b equal to a cross c lets you cancel a.https://rankdeterminant.com/media/v/math-u12-ch6-c4.mp4?v=8ecf3e11be-f46c244922026-10-20yes https://rankdeterminant.com/v/math-u13-ch1-c1https://rankdeterminant.com/media/v/math-u13-ch1-c1.jpg?v=b9f13ed123-026f7eMeasures of Central Tendency | JEE Maths (English)Mean, median and mode explained for JEE Main: the mean of a frequency table, step deviation for grouped data, the grouped median formula and its cumulative frequency trap, the grouped mode formula, the empirical relation, the combined mean and a linear change of data, with two solved examples.https://rankdeterminant.com/media/v/math-u13-ch1-c1.mp4?v=b9f13ed123-026f7e5052026-10-20yes https://rankdeterminant.com/v/math-u13-ch1-c2https://rankdeterminant.com/media/v/math-u13-ch1-c2.jpg?v=75038e44aa-510ecaMeasures of Dispersion | JEE Maths (English)Measures of dispersion for JEE statistics: mean deviation about the mean and about the median, variance and standard deviation, the mean of squares minus square of mean formula, what shifting and scaling the data does to them, the variance of an A.P., the coefficient of variation, and two solved course problems with the common traps.https://rankdeterminant.com/media/v/math-u13-ch1-c2.mp4?v=75038e44aa-510eca4992026-10-20yes https://rankdeterminant.com/v/math-u13-ch1-c3https://rankdeterminant.com/media/v/math-u13-ch1-c3.jpg?v=c059cd5cf6-d053a2Combined Data and Corrections | JEE Maths (English)How to find the combined mean and combined variance of two groups, and how to correct the mean and variance when an observation was misread: rebuild the sum of x and the sum of x squared, swap the wrong value for the right one, and recompute. Includes the classic trap of dropping the gap-between-means term and two solved course problems.https://rankdeterminant.com/media/v/math-u13-ch1-c3.mp4?v=c059cd5cf6-d053a24892026-10-20yes https://rankdeterminant.com/v/math-u13-ch1-c4https://rankdeterminant.com/media/v/math-u13-ch1-c4.jpg?v=e9b00a7c24-2e93fdJEE Advanced, AIEEE and JEE Main (2013–2018) Questions: Statistics | JEE Maths (English)Past AIEEE and JEE Main questions on statistics, solved and explained: the working formula for variance (the mean of the squares minus the square of the mean), why a variance can never be negative, how shifting and scaling data changes the mean and the variance, the variance of data in an A.P., and two past-paper problems with the traps hidden in them.https://rankdeterminant.com/media/v/math-u13-ch1-c4.mp4?v=e9b00a7c24-2e93fd5072026-10-20yes https://rankdeterminant.com/v/math-u13-ch2-c1https://rankdeterminant.com/media/v/math-u13-ch2-c1.jpg?v=b29bc7de43-8b893bSample Spaces and Events | JEE Maths (English)Sample space and events for JEE Main: random experiments, events as subsets of the sample space, the language of or, and, not, De Morgan's laws for neither and at most one, mutually exclusive and exhaustive events, exactly one of A, B, C, and two solved examples on three coin tosses and two dice.https://rankdeterminant.com/media/v/math-u13-ch2-c1.mp4?v=b29bc7de43-8b893b4512026-10-20yes https://rankdeterminant.com/v/math-u13-ch2-c2https://rankdeterminant.com/media/v/math-u13-ch2-c2.jpg?v=76fc06c015-a9d543Classical Probability and Counting | JEE Maths (English)Classical probability for JEE: P(A) = m/n when the outcomes are equally likely, why the eleven sums of two dice are not equally likely, the complement rule, at least one = 1 - P(none), odds in favour, and two solved problems: at least one six in four throws, and three balls in three boxes with exactly one empty.https://rankdeterminant.com/media/v/math-u13-ch2-c2.mp4?v=76fc06c015-a9d5434542026-10-20yes https://rankdeterminant.com/v/math-u13-ch2-c3https://rankdeterminant.com/media/v/math-u13-ch2-c3.jpg?v=69927e8681-8d4780The Addition Theorem | JEE Maths (English)The addition theorem of probability for JEE Main: P(A union B) = P(A) + P(B) - P(A intersection B), the mutually exclusive case, exactly one of two or three events, the three-event formula (add singles, subtract pairs, add the triple), bounds on the union and the overlap, and two solved examples, including a number divisible by 2, 3 or 5.https://rankdeterminant.com/media/v/math-u13-ch2-c3.mp4?v=69927e8681-8d47804652026-10-20yes https://rankdeterminant.com/v/math-u13-ch2-c4https://rankdeterminant.com/media/v/math-u13-ch2-c4.jpg?v=7790cb998c-1e6016Geometric Probability | JEE Maths (English)Geometric probability for JEE: when a point is chosen uniformly in a region, the probability is the favourable length, area or volume over the whole. A point in a square, a point in a circle (the radius trap), the band |x - y| ≤ a in a square, and two solved problems: two numbers that differ by at most 1/3, and the classic problem of two friends who wait 15 minutes for each other.https://rankdeterminant.com/media/v/math-u13-ch2-c4.mp4?v=7790cb998c-1e60164742026-10-20yes https://rankdeterminant.com/v/math-u13-ch3-c1https://rankdeterminant.com/media/v/math-u13-ch3-c1.jpg?v=a45fd2248a-f9617cConditional Probability | JEE Maths (English)Conditional probability for JEE Main: P(A given B) = P(A intersection B) / P(B) when P(B) > 0, the reduced sample space, counting for equally likely outcomes, the properties (complement, addition rule given B, A a subset of B), why P(A|B) and P(B|A) differ, and two solved examples from the course, including the two children puzzle.https://rankdeterminant.com/media/v/math-u13-ch3-c1.mp4?v=a45fd2248a-f9617c4602026-10-20yes https://rankdeterminant.com/v/math-u13-ch3-c2https://rankdeterminant.com/media/v/math-u13-ch3-c2.jpg?v=8b016723a4-15d514The Multiplication Theorem | JEE Maths (English)The multiplication theorem of probability for JEE Main: P(A intersection B) = P(A) P(B given A), how it comes straight from conditional probability, the chain rule for three or more successive events, draws without replacement where each factor is computed from what is left, and two solved examples: two red balls from a bag, and the first white ball on the third draw.https://rankdeterminant.com/media/v/math-u13-ch3-c2.mp4?v=8b016723a4-15d5144732026-10-20yes https://rankdeterminant.com/v/math-u13-ch3-c3https://rankdeterminant.com/media/v/math-u13-ch3-c3.jpg?v=35323fe141-88b55fIndependent Events and Repeated Trials | JEE Maths (English)Independent events for JEE probability: the product rule P(A and B) = P(A) P(B), why mutually exclusive events are never independent, mutual versus pairwise independence, the at least one formula, first success on trial n, and who wins when players take turns. Two solved problems: three people aiming at a target, and three players throwing a die until a six appears.https://rankdeterminant.com/media/v/math-u13-ch3-c3.mp4?v=35323fe141-88b55f5052026-10-20yes https://rankdeterminant.com/v/math-u13-ch4-c1https://rankdeterminant.com/media/v/math-u13-ch4-c1.jpg?v=bdc78b9105-fd46deThe Theorem of Total Probability | JEE Maths (English)The theorem of total probability for JEE Main and Advanced: what a partition of the sample space is, why we multiply along each branch of a tree diagram and add the branches, the trap of merging balls from different bags, and two solved problems: a coin that chooses the bag, and a ball moved from one bag to another.https://rankdeterminant.com/media/v/math-u13-ch4-c1.mp4?v=bdc78b9105-fd46de4622026-10-20yes https://rankdeterminant.com/v/math-u13-ch4-c2https://rankdeterminant.com/media/v/math-u13-ch4-c2.jpg?v=290481f9c1-eb30deBayes' Theorem | JEE Maths (English)Bayes' theorem for JEE Main and Advanced: how to turn a conditional probability around with a tree diagram, why the events must form a partition and P(A) must be positive, prior and posterior probabilities, the trap of mixing up P(A|E) with P(E|A), and two solved problems: a student who knows or guesses, and a positive disease test.https://rankdeterminant.com/media/v/math-u13-ch4-c2.mp4?v=290481f9c1-eb30de4472026-10-20yes https://rankdeterminant.com/v/math-u13-ch5-c1https://rankdeterminant.com/media/v/math-u13-ch5-c1.jpg?v=082cce3501-8200eeRandom Variables and Probability Distributions | JEE Maths (English)What a random variable is and how to write its probability distribution for JEE Main and Advanced: values with their probabilities, the two conditions (each probability at least zero, all adding up to one), finding an unknown k, the trap of treating the values as equally likely, and solved problems on P(X ≥ 2) and the number of aces in two cards.https://rankdeterminant.com/media/v/math-u13-ch5-c1.mp4?v=082cce3501-8200ee4752026-10-20yes https://rankdeterminant.com/v/math-u13-ch5-c2https://rankdeterminant.com/media/v/math-u13-ch5-c2.jpg?v=1923bc5adb-41f044Mean and Variance of a Random Variable | JEE Maths (English)Mean (expectation) and variance of a discrete random variable for JEE Main and Advanced: E(X) as a probability-weighted sum, E(X squared), variance as the mean of the squares minus the square of the mean, the rules for aX + b, why variances add for X minus Y when X and Y are independent, what a fair game is, and two solved problems: a fair die and a dice game.https://rankdeterminant.com/media/v/math-u13-ch5-c2.mp4?v=1923bc5adb-41f0444882026-10-20yes https://rankdeterminant.com/v/math-u13-ch5-c3https://rankdeterminant.com/media/v/math-u13-ch5-c3.jpg?v=56212b4d58-3ce97cThe Binomial Distribution | JEE Maths (English)Binomial distribution for JEE Main and Advanced: the conditions for Bernoulli trials, the formula n C r p^r q^(n-r), mean np and variance npq (why the variance is always less than the mean), the most probable value from (n+1)p, the 1 - q^n trick for at least one success, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u13-ch5-c3.mp4?v=56212b4d58-3ce97c5002026-10-20yes https://rankdeterminant.com/v/math-u13-ch5-c4https://rankdeterminant.com/media/v/math-u13-ch5-c4.jpg?v=13e0b8ce7c-560b06Waiting for the First Success | JEE Maths (English)Waiting for the first success in independent trials, for JEE Main and Advanced: why P(X = k) = q^(k-1) p, the shortcut P(X > k) = q^k, the mean waiting time E(X) = 1/p proved with the arithmetico-geometric sum, the memoryless property that shows a six is never due, and two solved problems: the first head on the fifth toss, and the proof of the mean.https://rankdeterminant.com/media/v/math-u13-ch5-c4.mp4?v=13e0b8ce7c-560b064832026-10-21yes https://rankdeterminant.com/v/math-u13-ch5-c5https://rankdeterminant.com/media/v/math-u13-ch5-c5.jpg?v=80d444aaba-44f907JEE Advanced, AIEEE and JEE Main (2013–2018) Questions: Random Variables | JEE Maths (English)Past AIEEE, JEE Main and JEE Advanced questions on random variables and the binomial distribution, solved and explained: when trials are binomial, the formula nCr p^r q^(n-r), mean np and variance npq, finding q as variance over mean, the complement trick for at-least questions, and the JEE Advanced 2020 missile problem with its trap.https://rankdeterminant.com/media/v/math-u13-ch5-c5.mp4?v=80d444aaba-44f9074852026-10-21yes https://rankdeterminant.com/v/math-u13-ch6-c1https://rankdeterminant.com/media/v/math-u13-ch6-c1.jpg?v=2f13ecaeec-89417dOverview | JEE Maths (English)What JEE Main asks from statistics and probability: a mean–variance reconstruction or correction, a counting-based probability, and a Bayes or binomial question. One tool for each type, then two solved problems: at least one defective item (why 3 × 4/10 = 1.2 is wrong) and correcting the mean and variance after a wrongly recorded value.https://rankdeterminant.com/media/v/math-u13-ch6-c1.mp4?v=2f13ecaeec-89417d4902026-10-21yes https://rankdeterminant.com/v/math-u13-ch6-c2https://rankdeterminant.com/media/v/math-u13-ch6-c2.jpg?v=4e9fbcb06d-43d40bMixed Problems: Set 1 (Statistics) | JEE Maths (English)Set 1 of mixed JEE Main-pattern statistics problems: how adding a constant and multiplying change the mean and the standard deviation, how to rebuild the sum of x and the sum of x squared from the mean and variance, and how to correct a wrongly recorded value. Two solved course problems with the classic traps.https://rankdeterminant.com/media/v/math-u13-ch6-c2.mp4?v=4e9fbcb06d-43d40b4672026-10-21yes https://rankdeterminant.com/v/math-u13-ch6-c3https://rankdeterminant.com/media/v/math-u13-ch6-c3.jpg?v=073a97988d-da85e1Mixed Problems: Set 2 (Probability and Bayes) | JEE Maths (English)Set 2 of the JEE Main-pattern mixed problems in probability: conditional probability both ways, the multiplication theorem, total probability on a tree diagram and Bayes' theorem, with the conditions each one needs. Two solved problems: finding P(B|A) from P(A|B), and a die-and-urn Bayes problem where a white ball makes a six less likely.https://rankdeterminant.com/media/v/math-u13-ch6-c3.mp4?v=073a97988d-da85e14572026-10-21yes https://rankdeterminant.com/v/math-u13-ch6-c4https://rankdeterminant.com/media/v/math-u13-ch6-c4.jpg?v=8ae0d5745e-f7402cMixed Problems: Set 3 (Random Variables and the Binomial Distribution) | JEE Maths (English)Set 3 of mixed JEE Main-pattern problems on random variables and the binomial distribution: when the binomial formula applies, mean np and variance npq, why q equals the variance over the mean, and the ratio of neighbouring terms. Two solved course problems: n and p from mean 8 and variance 6, and p when P(X=2) = 2P(X=1), with the classic traps.https://rankdeterminant.com/media/v/math-u13-ch6-c4.mp4?v=8ae0d5745e-f7402c4762026-10-21yes https://rankdeterminant.com/v/math-u13-ch7-c1https://rankdeterminant.com/media/v/math-u13-ch7-c1.jpg?v=4ddc19d081-c58957Overview | JEE Maths (English)How to use the statistics and probability problem bank: Part A as a 30-minute JEE Main test, Part B JEE Advanced problems mixing counting, conditioning and expectation, Part C concept checks (can mutually exclusive events be independent? what happens to the SD when data are multiplied by -2?), and two solved problems: testing independence from P(A union B), and the three-door switching puzzle.https://rankdeterminant.com/media/v/math-u13-ch7-c1.mp4?v=4ddc19d081-c589574462026-10-21yes https://rankdeterminant.com/v/math-u13-ch7-c2https://rankdeterminant.com/media/v/math-u13-ch7-c2.jpg?v=bf744fc9b4-0622f4Part A: JEE Main Level | JEE Maths (English)Part A of the statistics and probability problem bank at JEE Main level. Two tools: the variance working formula, with the sum of squares rebuilt from the mean and the variance, and total probability with Bayes' theorem on a tree. Then two solved problems with the classic traps: three numbers with mean 6 and variance 4 have squares adding to 120, and a student with glasses is a girl with probability 4/13.https://rankdeterminant.com/media/v/math-u13-ch7-c2.mp4?v=bf744fc9b4-0622f44802026-10-21yes https://rankdeterminant.com/v/math-u13-ch7-c4https://rankdeterminant.com/media/v/math-u13-ch7-c4.jpg?v=e61c9cdcac-febdd0Part C: Concept Checks | JEE Maths (English)Six quick concept checks in statistics and probability for JEE Maths: why adding a constant leaves the variance unchanged, why mutually exclusive events with positive probabilities are never independent, why P(A|B) is at least P(A) when A is a subset of B, why a binomial variance npq is less than its mean np, what multiplying every observation by minus two does to the SD, and why the sum of squares is at least the square of the sum over n.https://rankdeterminant.com/media/v/math-u13-ch7-c4.mp4?v=e61c9cdcac-febdd04922026-10-21yes https://rankdeterminant.com/v/math-u14-ch1-c1https://rankdeterminant.com/media/v/math-u14-ch1-c1.jpg?v=71695a70c3-4d9e0cMeasuring Angles | JEE Maths (English)How angles are measured in degrees and radians: pi radians equals 180 degrees, one radian in degrees, minutes and seconds, why sin 2 means two radians, arc length s = r theta, sector area, the clock-hands angle formula, polygon angle sums, and two solved JEE-style problems with the classic degree trap.https://rankdeterminant.com/media/v/math-u14-ch1-c1.mp4?v=71695a70c3-4d9e0c4792026-10-21yes https://rankdeterminant.com/v/math-u14-ch1-c2https://rankdeterminant.com/media/v/math-u14-ch1-c2.jpg?v=3b37d63243-298f77The Six Trigonometric Ratios | JEE Maths (English)The six trigonometric ratios of any angle from a point on its terminal ray: sine, cos, tan, cot, sec and cosec, the standard values table, the All Silver Tea Cups sign rule for the four quadrants, ranges, where tan, sec, cot and cosec are not defined, the one-ratio-and-quadrant trick, and two solved course problems with the sign trap.https://rankdeterminant.com/media/v/math-u14-ch1-c2.mp4?v=3b37d63243-298f775062026-10-21yes https://rankdeterminant.com/v/math-u14-ch1-c3https://rankdeterminant.com/media/v/math-u14-ch1-c3.jpg?v=c0ec620547-276465Allied Angles, Periodicity and Graphs | JEE Maths (English)How to simplify any trigonometric ratio of n pi over two plus or minus theta in two steps: keep or switch the function by whether n is even or odd, then attach the sign of the original function in that quadrant. Also the periods of sin, cos, tan and their graphs, the period of f(ax+b), sums and the LCM rule, the sine of x degrees trap, and two solved course problems.https://rankdeterminant.com/media/v/math-u14-ch1-c3.mp4?v=c0ec620547-2764654892026-10-21yes https://rankdeterminant.com/v/math-u14-ch1-c4https://rankdeterminant.com/media/v/math-u14-ch1-c4.jpg?v=4e936a49cf-cc75ecFundamental Identities | JEE Maths (English)The three Pythagorean identities, sin squared plus cos squared equals one and its two children, where they hold, the sec plus tan reciprocal trick, the fourth and sixth power formulas with their ranges, three rules for proving identities, the root of cos squared trap, least values, and two solved course problems.https://rankdeterminant.com/media/v/math-u14-ch1-c4.mp4?v=4e936a49cf-cc75ec4762026-10-21yes https://rankdeterminant.com/v/math-u14-ch2-c1https://rankdeterminant.com/media/v/math-u14-ch2-c1.jpg?v=e0692de4ee-2b616bCompound Angles | JEE Maths (English)Compound angle formulas for sin(A±B), cos(A±B), tan(A±B) and cot(A±B), the exact values of sin 15°, cos 15°, tan 15° and tan 75°, the product formulas sin(A+B)sin(A−B) and cos(A+B)cos(A−B), tan(A+B+C), and two JEE-style solved problems with the classic sign and quadrant traps.https://rankdeterminant.com/media/v/math-u14-ch2-c1.mp4?v=e0692de4ee-2b616b5012026-10-21yes https://rankdeterminant.com/v/math-u14-ch2-c2https://rankdeterminant.com/media/v/math-u14-ch2-c2.jpg?v=c22379a53f-355c82Multiple and Sub-multiple Angles | JEE Maths (English)Double, triple and half angle formulas for JEE: sin 2A, the three forms of cos 2A, tan 2A, sin 2A and cos 2A in terms of tan A, half angles and the square-root sign trap, sin 3A, cos 3A, tan 3A, the sixty-degree product results, and two solved problems, ending with the exact value of sin 18 degrees.https://rankdeterminant.com/media/v/math-u14-ch2-c2.mp4?v=c22379a53f-355c824942026-10-21yes https://rankdeterminant.com/v/math-u14-ch2-c3https://rankdeterminant.com/media/v/math-u14-ch2-c3.jpg?v=9c23073ea2-e8a9fdSum and Product Formulae | JEE Maths (English)Sum and product formulae in trigonometry: sin C ± sin D and cos C ± cos D as products, 2 sin A cos B, 2 cos A cos B and 2 sin A sin B as sums, the D − C sign trap, the pairing trick for many terms, and two JEE-style solved problems: cos 20° + cos 100° + cos 140° = 0 and sin 12° sin 48° sin 54° = 1/8.https://rankdeterminant.com/media/v/math-u14-ch2-c3.mp4?v=9c23073ea2-e8a9fd4842026-10-21yes https://rankdeterminant.com/v/math-u14-ch2-c4https://rankdeterminant.com/media/v/math-u14-ch2-c4.jpg?v=2f61714c40-71a8bdConditional Identities | JEE Maths (English)Conditional trigonometric identities when A+B+C=π, as in every triangle: tan A + tan B + tan C = tan A tan B tan C, sin 2A + sin 2B + sin 2C = 4 sin A sin B sin C, the cosine results, cot products in pairs equal to 1, the π/2 case and the half angles, the sum to product proof trick, and two JEE-style solved problems.https://rankdeterminant.com/media/v/math-u14-ch2-c4.mp4?v=2f61714c40-71a8bd4752026-10-21yes https://rankdeterminant.com/v/math-u14-ch2-c5https://rankdeterminant.com/media/v/math-u14-ch2-c5.jpg?v=fc56bc59e0-24ea27Products and Sums of Series | JEE Maths (English)Products and sums of trigonometric series: the doubling-angle product cos A cos 2A cos 4A ... = sin 2^n A / (2^n sin A), the sum of sines and cosines in arithmetic progression, telescoping with cot and tan, the trap when angles do not double, and two JEE-style solved problems: cos π/7 cos 2π/7 cos 4π/7 = -1/8 and the π/11 product = 1/32.https://rankdeterminant.com/media/v/math-u14-ch2-c5.mp4?v=fc56bc59e0-24ea274792026-10-21yes https://rankdeterminant.com/v/math-u14-ch2-c6https://rankdeterminant.com/media/v/math-u14-ch2-c6.jpg?v=91fc38ddf6-03f9fcGreatest and Least Values | JEE Maths (English)Greatest and least values of trigonometric expressions: why a cos θ + b sin θ lies between −√(a²+b²) and √(a²+b²), the restricted-interval trap, changing squares to 2θ, quadratics in sin θ with t in [−1, 1], AM–GM, the triangle bounds, and two JEE-style solved problems: the range of 3 sin θ − 4 cos θ + 7 and sin x + √3 cos x on [0, π/2].https://rankdeterminant.com/media/v/math-u14-ch2-c6.mp4?v=91fc38ddf6-03f9fc4982026-10-21yes https://rankdeterminant.com/v/math-u14-ch3-c1https://rankdeterminant.com/media/v/math-u14-ch3-c1.jpg?v=5f7ea4f292-a276e2General Solutions | JEE Maths (English)General solutions of trigonometric equations: sin θ = sin α, cos θ = cos α, tan θ = tan α and their squared forms, where sine, cos and tan are zero, one or minus one, principal solutions in [0, 2π), choosing α, the traps of cancelling and squaring, rejecting undefined values, and two solved problems from the course.https://rankdeterminant.com/media/v/math-u14-ch3-c1.mp4?v=5f7ea4f292-a276e24772026-10-21yes https://rankdeterminant.com/v/math-u14-ch3-c2https://rankdeterminant.com/media/v/math-u14-ch3-c2.jpg?v=cb6fab822c-40fb23Standard Methods | JEE Maths (English)How to solve trigonometric equations by the standard methods: factorising, a quadratic in one ratio with the range check, a cos θ + b sin θ = c and its condition |c| ≤ √(a²+b²), the half-angle substitution t = tan(θ/2) and the roots it loses, the substitution t = sin x ± cos x, and two JEE-style solved problems: √3 cos x + sin x = √2 and 3 cos x + 4 sin x = −3.https://rankdeterminant.com/media/v/math-u14-ch3-c2.mp4?v=cb6fab822c-40fb234612026-10-21yes https://rankdeterminant.com/v/math-u14-ch3-c3https://rankdeterminant.com/media/v/math-u14-ch3-c3.jpg?v=c16116820a-fd874fSolutions in an Interval | JEE Maths (English)How to count the solutions of a trigonometric equation in a given interval: solve for one ratio and list the angles, two solutions of sin x = k per 2π when |k| < 1, one of tan x = k per π, the graph method for sin x = x/10, end points of a closed interval, undefined values, and two JEE-style solved problems with their traps.https://rankdeterminant.com/media/v/math-u14-ch3-c3.mp4?v=c16116820a-fd874f4902026-10-21yes https://rankdeterminant.com/v/math-u14-ch3-c4https://rankdeterminant.com/media/v/math-u14-ch3-c4.jpg?v=a37ca0677b-39d9f3Systems, Bounds and Inequalities | JEE Maths (English)How to solve trigonometric inequalities, systems of trigonometric equations and bound-type equations: the squeeze idea (one side at most M, the other at least M), sum-to-product to find x + y and x − y, reading intervals over one period and adding 2nπ or nπ, and two solved JEE-style problems: sin⁴x = 1 + tan⁸4x and sin x + √3 cos x ≥ 1 on [0, 2π].https://rankdeterminant.com/media/v/math-u14-ch3-c4.mp4?v=a37ca0677b-39d9f34752026-10-21yes https://rankdeterminant.com/v/math-u14-ch4-c1https://rankdeterminant.com/media/v/math-u14-ch4-c1.jpg?v=c94e24a428-0969f4Definitions and Principal Values | JEE Maths (English)Inverse trigonometric functions from the start: why sine needs a one-one piece, the principal value branches (domain and range) of sine inverse, cos inverse, tan inverse, cot inverse, sec inverse and cosec inverse, their graphs, the trap that sine inverse x is not one over sine x, the cot inverse range trap, and two solved problems from the course.https://rankdeterminant.com/media/v/math-u14-ch4-c1.mp4?v=c94e24a428-0969f44942026-10-21yes https://rankdeterminant.com/v/math-u14-ch4-c2https://rankdeterminant.com/media/v/math-u14-ch4-c2.jpg?v=87e61218fb-330efdProperties and Compositions | JEE Maths (English)Properties of inverse trigonometric functions: negative arguments, the complementary pairs sin⁻¹x + cos⁻¹x = π/2, the reciprocal relations and the cot⁻¹ trap for negative x, when sin⁻¹(sin x) = x and the sawtooth graphs, the trick to bring an angle back into the principal range, square-root conversions, and two JEE-style solved problems including sin⁻¹(sin 10) = 3π − 10.https://rankdeterminant.com/media/v/math-u14-ch4-c2.mp4?v=87e61218fb-330efd5132026-10-21yes https://rankdeterminant.com/v/math-u14-ch4-c3https://rankdeterminant.com/media/v/math-u14-ch4-c3.jpg?v=ad8cc4a98d-69260eAddition Formulas | JEE Maths (English)Addition formulas of inverse trigonometric functions: tan⁻¹x + tan⁻¹y when xy < 1, the extra π when xy > 1, the difference formula, the sin⁻¹ and cos⁻¹ sums with their conditions, the double and triple forms such as 2tan⁻¹x, and two JEE-style solved problems, including why tan⁻¹2 + tan⁻¹3 is 3π/4 and not −π/4.https://rankdeterminant.com/media/v/math-u14-ch4-c3.mp4?v=ad8cc4a98d-69260e5082026-10-21yes https://rankdeterminant.com/v/math-u14-ch4-c4https://rankdeterminant.com/media/v/math-u14-ch4-c4.jpg?v=bdbdace9d5-0690d4Series, Equations and Inequalities | JEE Maths (English)Telescoping series of inverse tangents: write each term as tan⁻¹a − tan⁻¹b and let the middle cancel. Solving inverse trigonometric equations by taking tan of both sides and checking for extra roots, inequalities by monotonicity, and two JEE-style solved problems: tan⁻¹2x + tan⁻¹3x = π/4 and the infinite sum of tan⁻¹(2/n²) = 3π/4.https://rankdeterminant.com/media/v/math-u14-ch4-c4.mp4?v=bdbdace9d5-0690d45122026-10-21yes https://rankdeterminant.com/v/math-u14-ch5-c1https://rankdeterminant.com/media/v/math-u14-ch5-c1.jpg?v=517f363ed7-b4d350Overview | JEE Maths (English)The start of Triangles, Heights and Distances: the sides a, b, c opposite the angles A, B, C, the semi-perimeter s and the area delta, the sine rule with the circumradius R, the cosine rule, the area formulas, the inradius r as delta over s, angles of elevation and depression from the horizontal, and two solved problems from the course with the classic traps.https://rankdeterminant.com/media/v/math-u14-ch5-c1.mp4?v=517f363ed7-b4d3504712026-10-21yes https://rankdeterminant.com/v/math-u14-ch5-c2https://rankdeterminant.com/media/v/math-u14-ch5-c2.jpg?v=aaddde3ca2-f2d037Sine, Cosine and Projection Rules | JEE Maths (English)Sine rule with the circumradius 2R, the cosine rule as Pythagoras corrected for any angle, the projection rule and Napier's analogy, the topper's trick a = 2R sin A to turn sides into angles, and two JEE-style solved problems: find angle B when a = 5, b = 7, c = 8, and what a cos A = b cos B says about the triangle.https://rankdeterminant.com/media/v/math-u14-ch5-c2.mp4?v=aaddde3ca2-f2d0374602026-10-21yes https://rankdeterminant.com/v/math-u14-ch5-c3https://rankdeterminant.com/media/v/math-u14-ch5-c3.jpg?v=2a513daeb7-31366bHalf Angles, Area and the Radii | JEE Maths (English)Half-angle formulas from the sides of a triangle, the area in many forms, and all the radii: the circumradius R, the inradius r and the exradii r1, r2, r3. See why the reciprocals of the exradii add up to one over r, learn r1 + r2 + r3 - r = 4R and OI squared = R squared - 2Rr, and solve two course problems: the 13-14-15 triangle and r1 = 2r2 = 3r3, with the classic traps.https://rankdeterminant.com/media/v/math-u14-ch5-c3.mp4?v=2a513daeb7-31366b4462026-10-21yes https://rankdeterminant.com/v/math-u14-ch5-c4https://rankdeterminant.com/media/v/math-u14-ch5-c4.jpg?v=c315a70b51-77da8aSolving a Triangle | JEE Maths (English)Given two sides a, b and an acute angle A not between them, how many triangles are possible: none, one or two? The ambiguous case from one quadratic in c, the conditions with b sin A, the sum, product and difference of the two values of c, and two solved problems from the course, including the trap of stopping after one triangle.https://rankdeterminant.com/media/v/math-u14-ch5-c4.mp4?v=c315a70b51-77da8a4512026-10-21yes https://rankdeterminant.com/v/math-u14-ch5-c5https://rankdeterminant.com/media/v/math-u14-ch5-c5.jpg?v=095a95f798-69bec7Heights and Distances | JEE Maths (English)Heights and distances from scratch: angles of elevation and depression measured from the horizontal, why depression equals elevation, how to pick the correct right triangle, the standard results h = d/(cot alpha - cot beta), the south-west tower formula and the two-poles trick, with two solved course problems on a tower's shadow and a cliff.https://rankdeterminant.com/media/v/math-u14-ch5-c5.mp4?v=095a95f798-69bec74892026-10-21yes https://rankdeterminant.com/v/math-u14-ch6-c1https://rankdeterminant.com/media/v/math-u14-ch6-c1.jpg?v=564ba4681f-672bceOverview | JEE Maths (English)What JEE Main asks from trigonometry: an identity, value or bound, an equation with a count or sum of solutions, and an inverse-function, triangle or heights question. One tool for each type, then two solved problems: why the range of 5 sin x + 12 cos x is [-13, 13], not up to 17, and why x = pi/2 is rejected in tan x + tan 2x = tan 3x.https://rankdeterminant.com/media/v/math-u14-ch6-c1.mp4?v=564ba4681f-672bce5162026-10-21yes https://rankdeterminant.com/v/math-u14-ch6-c2https://rankdeterminant.com/media/v/math-u14-ch6-c2.jpg?v=321007c015-aaec96Mixed Problems: Set 1 (Values, Identities, Bounds) | JEE Maths (English)Set 1 of mixed JEE Main-pattern trigonometry problems: find a value when tan theta is given by dividing top and bottom by cos theta, bound a cos theta + b sin theta between plus and minus root of a squared plus b squared, use allied angles such as sin(theta + pi/2) = cos theta, and avoid the classic trap of adding two separate maxima. Two solved course problems.https://rankdeterminant.com/media/v/math-u14-ch6-c2.mp4?v=321007c015-aaec964742026-10-21yes https://rankdeterminant.com/v/math-u14-ch6-c3https://rankdeterminant.com/media/v/math-u14-ch6-c3.jpg?v=e22a704f47-b45327Mixed Problems: Set 2 (Equations) | JEE Maths (English)How to attack a trigonometric equation in JEE Main: four methods to try first (factorise, a quadratic in one ratio, t = sin x + cos x, bounds), how to count solutions in an interval, and the traps that cost marks. Solved: the sum of the solutions of 2cos^2 x + cos x - 1 = 0 in [0, 2pi], and the general solution of sin x + cos x - sin 2x = 1.https://rankdeterminant.com/media/v/math-u14-ch6-c3.mp4?v=e22a704f47-b453275142026-10-21yes https://rankdeterminant.com/v/math-u14-ch6-c4https://rankdeterminant.com/media/v/math-u14-ch6-c4.jpg?v=ba926f4cf0-b69606Mixed Problems: Set 3 (Inverse Functions and Triangles) | JEE Maths (English)Set 3 of mixed JEE Main-pattern trigonometry problems: the principal value branches of sin inverse, cos inverse and tan inverse, why tan inverse of tan 4 is 4 minus pi and not 4, the domain of sin inverse of a log, and the sine rule with the smaller-side, smaller-angle check that picks C = 45 degrees, not 135 degrees. Two solved course problems.https://rankdeterminant.com/media/v/math-u14-ch6-c4.mp4?v=ba926f4cf0-b696064992026-10-21yes https://rankdeterminant.com/v/math-u14-ch7-c1https://rankdeterminant.com/media/v/math-u14-ch7-c1.jpg?v=a39dcba5b0-ee64afOverview | JEE Maths (English)How to use the trigonometry problem bank: Part A as a 30-minute JEE Main test, Part B longer JEE Advanced problems, Part C concept checks (is sin^-1(sin x) = x for every x, when does the tan inverse addition formula hold), with two solved problems: cos 1° + cos 2° + ... + cos 180°, and sin x + sin 2x + sin 3x = cos x + cos 2x + cos 3x in [0, 2pi].https://rankdeterminant.com/media/v/math-u14-ch7-c1.mp4?v=a39dcba5b0-ee64af4742026-10-21yes https://rankdeterminant.com/v/math-u14-ch7-c2https://rankdeterminant.com/media/v/math-u14-ch7-c2.jpg?v=beb3bddcf0-05915aPart A: JEE Main Level | JEE Maths (English)Part A of the trigonometry problem bank at JEE Main level, a 30-minute mixed test. Two tools first: allied angles, cos(180 - theta) = -cos theta, and the general solution of tan theta = tan alpha, theta = n pi + alpha, with the check for undefined values. Then two solved problems with their traps: cos 1 + cos 2 + ... + cos 180 (degrees) equals -1, and tan 5x = tan 3x gives x = n pi, not n pi / 2.https://rankdeterminant.com/media/v/math-u14-ch7-c2.mp4?v=beb3bddcf0-05915a4342026-10-21yes https://rankdeterminant.com/v/math-u14-ch7-c4https://rankdeterminant.com/media/v/math-u14-ch7-c4.jpg?v=95b075630d-55fed3Part C: Concept Checks | JEE Maths (English)Seven quick trigonometry concept checks for JEE Maths: when sin inverse of sin x equals x, why cos inverse of minus x is pi minus cos inverse x, the period of |sin x| + |cos x|, the general solutions of tan A = tan B and sin squared theta = 1/4, which is larger of sin 1 and sin 2, and when the tan inverse addition formula needs an extra pi.https://rankdeterminant.com/media/v/math-u14-ch7-c4.mp4?v=95b075630d-55fed34662026-10-21yes https://rankdeterminant.com/v/math-u2-ch1-c1https://rankdeterminant.com/media/v/math-u2-ch1-c1.jpg?v=3f0868e91a-3c20c0The Need for a New Number: i and its Powers | JEE Maths (English)Why x square plus one equals zero needs a new number: the imaginary unit iota with i square equal to minus one, square roots of negative numbers, the powers of i in a cycle of four, the remainder rule for any power, why four consecutive powers add to zero, the root a times root b trap behind the famous 1 = -1 proof, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u2-ch1-c1.mp4?v=3f0868e91a-3c20c04962026-10-16yes https://rankdeterminant.com/v/math-u2-ch1-c2https://rankdeterminant.com/media/v/math-u2-ch1-c2.jpg?v=03aa191ce2Complex Numbers: Definition and Equality | JEE Maths (English)What a complex number z = x + iy is, its real part and imaginary part (and why the imaginary part is a real number), purely real and purely imaginary numbers, the zero trap, equality of complex numbers (one complex equation gives two real equations), why complex numbers have no order, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u2-ch1-c2.mp4?v=03aa191ce25062026-10-17yes https://rankdeterminant.com/v/math-u2-ch1-c3https://rankdeterminant.com/media/v/math-u2-ch1-c3.jpg?v=2c1e087af9Algebraic Operations on Complex Numbers | JEE Maths (English)How to add, subtract, multiply and divide complex numbers for JEE Main and Class 11: treat iota like a letter and replace i squared by minus one, divide by multiplying top and bottom by c minus id, the reciprocal, the useful products of 1 + i and 1 - i, the topper's square trick for high powers, the classic sign traps, and two solved problems including (1+i)^2026 + (1-i)^2026.https://rankdeterminant.com/media/v/math-u2-ch1-c3.mp4?v=2c1e087af95202026-10-13yes https://rankdeterminant.com/v/math-u2-ch1-c4https://rankdeterminant.com/media/v/math-u2-ch1-c4.jpg?v=b0ae134bbcThe Conjugate of a Complex Number | JEE Maths (English)What z bar, the conjugate of a complex number, is and why z times z bar is always real: the key properties (z plus z bar, z z bar equals mod z square, conjugates of sums, products, quotients and powers), the classic x square minus y square trap, the topper's conjugate test for real and purely imaginary expressions, the conjugate roots theorem, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u2-ch1-c4.mp4?v=b0ae134bbc5172026-10-13yes https://rankdeterminant.com/v/math-u2-ch1-c5https://rankdeterminant.com/media/v/math-u2-ch1-c5.jpg?v=4f9cdeafc7The Argand Plane and the Modulus | JEE Maths (English)Complex numbers as points of the Argand plane, the modulus as distance from the origin, the key properties (mod z square equals z times z bar, products, quotients, powers, distance between two points), the triangle inequality, the classic trap with mod z square, the topper's nearest and farthest point trick for circles, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u2-ch1-c5.mp4?v=4f9cdeafc74802026-10-14yes https://rankdeterminant.com/v/math-u2-ch1-c6https://rankdeterminant.com/media/v/math-u2-ch1-c6.jpg?v=e63dc07503-1d90ebArgument, Polar Form and Euler Form | JEE Maths (English)How to find the principal argument of a complex number quadrant by quadrant, the classic tan inverse of y by x trap, polar form r cis theta and Euler form r e to the i theta, moduli multiply and arguments add, the principal value trap, the topper's half-angle trick, and two solved examples.https://rankdeterminant.com/media/v/math-u2-ch1-c6.mp4?v=e63dc07503-1d90eb5082026-10-16yes https://rankdeterminant.com/v/math-u2-ch1-c7https://rankdeterminant.com/media/v/math-u2-ch1-c7.jpg?v=c5fe3c375a-b4f601Square Root of a Complex Number | JEE Maths (English)How to find the square root of a complex number a + ib: why every non-zero complex number has exactly two square roots, the formula built step by step, the sign rule from b, the topper's perfect square trick, the two-values trap, and two solved JEE problems, including a quadratic with complex coefficients.https://rankdeterminant.com/media/v/math-u2-ch1-c7.mp4?v=c5fe3c375a-b4f6015022026-10-16yes https://rankdeterminant.com/v/math-u2-ch1-c8https://rankdeterminant.com/media/v/math-u2-ch1-c8.jpg?v=dbade2d1f4-74a03dSolving Equations Involving z, bar z and |z| | JEE Maths (English)How to solve JEE equations that mix z, its conjugate z bar and the modulus mod z: the three standard methods (put z = x + iy, polar form, take modulus or conjugate of both sides), the topper's modulus-first trick, the check after squaring, the divide-by-mod-z trap, and two solved problems, including z squared equals z bar with four solutions.https://rankdeterminant.com/media/v/math-u2-ch1-c8.mp4?v=dbade2d1f4-74a03d4652026-10-16yes https://rankdeterminant.com/v/math-u2-ch1-c9https://rankdeterminant.com/media/v/math-u2-ch1-c9.jpg?v=6a61fc7b86Chapter Summary: Mixed Solved Problems on Complex Algebra | JEE Maths (English)A chapter summary of complex number algebra in three tools: the conjugate test to show an expression is real or purely imaginary, z bar = r²/z on the circle |z| = r, and the triangle inequality for the greatest and least |z|. Plus the |z|² vs z² trap and two solved JEE problems, done the topper's way.https://rankdeterminant.com/media/v/math-u2-ch1-c9.mp4?v=6a61fc7b864792026-10-14yes https://rankdeterminant.com/v/math-u2-ch2-c1https://rankdeterminant.com/media/v/math-u2-ch2-c1.jpg?v=84fc5aeb5eCoordinate Geometry in the Argand Plane | JEE Maths (English)Coordinate geometry with complex numbers for JEE: distance as mod of z2 minus z1, the section formula and which point m multiplies, midpoint and centroid, the collinearity test, the parallelogram condition, the straight line a bar z + a z bar + b = 0, complex slope, perpendicular lines, distance from a line, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u2-ch2-c1.mp4?v=84fc5aeb5e5282026-10-14yes https://rankdeterminant.com/v/math-u2-ch2-c2https://rankdeterminant.com/media/v/math-u2-ch2-c2.jpg?v=48d69e102dThe Rotation Theorem | JEE Maths (English)How multiplying by e to the i theta rotates a point in the Argand plane: rotation about the origin and about any point, the rotation theorem for the angle between two arms, the perpendicular test, the order-of-angle trap, the equilateral triangle condition, the topper's trick for the vertices of a square, and two solved JEE problems.https://rankdeterminant.com/media/v/math-u2-ch2-c2.mp4?v=48d69e102d5392026-10-14yes https://rankdeterminant.com/v/math-u2-ch2-c3https://rankdeterminant.com/media/v/math-u2-ch2-c3.jpg?v=66c18f41ecDe Moivre's Theorem and Powers of Complex Numbers | JEE Maths (English)De Moivre's theorem for JEE: raise the modulus to the power n and multiply the argument by n, the Euler form, z + 1/z = 2 cos theta, the classic sin theta + i cos theta trap and how to convert it first, the topper's trick for cos 3 theta and sin 3 theta, and two solved problems on powers of complex numbers.https://rankdeterminant.com/media/v/math-u2-ch2-c3.mp4?v=66c18f41ec5192026-10-14yes https://rankdeterminant.com/v/math-u2-ch2-c4https://rankdeterminant.com/media/v/math-u2-ch2-c4.jpg?v=5f6a55e0abCube Roots of Unity | JEE Maths (English)Cube roots of unity for JEE: solving z cubed = 1, omega and omega squared, the equilateral triangle on the unit circle, the golden rules omega cubed = 1 and 1 + omega + omega squared = 0, big powers of omega, the topper's trick to spot omega in disguise, and two solved problems, including IIT-JEE 1999.https://rankdeterminant.com/media/v/math-u2-ch2-c4.mp4?v=5f6a55e0ab5322026-10-14yes https://rankdeterminant.com/v/math-u2-ch2-c5https://rankdeterminant.com/media/v/math-u2-ch2-c5.jpg?v=4b73265ef6The n-th Roots of Unity and of Any Complex Number | JEE Maths (English)The n-th roots of unity for JEE: why z^n = 1 has exactly n roots, the regular n-gon on the unit circle, the n-th roots of any complex number, the sum and product of the roots, the classic sum-without-1 trap, the topper's factorisation trick for (1 - alpha)(1 - alpha^2)... = n, and two solved problems including cos 2pi/7 + cos 4pi/7 + cos 6pi/7.https://rankdeterminant.com/media/v/math-u2-ch2-c5.mp4?v=4b73265ef65072026-10-14yes https://rankdeterminant.com/v/math-u2-ch2-c6https://rankdeterminant.com/media/v/math-u2-ch2-c6.jpg?v=7c1cdc409eLoci and Regions in the Argand Plane | JEE Maths (English)Loci and regions in the Argand plane for JEE: read mod z minus a as a distance and arg as an angle, and see the circle, perpendicular bisector, Apollonius circle, ellipse, hyperbola, ray, arc and circle on a diameter without algebra. Plus the arc-choosing trap, the topper's distance-or-angle trick, and two solved problems including JEE Main 2019.https://rankdeterminant.com/media/v/math-u2-ch2-c6.mp4?v=7c1cdc409e5112026-10-14yes https://rankdeterminant.com/v/math-u2-ch2-c7https://rankdeterminant.com/media/v/math-u2-ch2-c7.jpg?v=a5e1c6b93cChapter Summary: Mixed Solved Problems on Complex Geometry | JEE Maths (English)A chapter summary of complex geometry for JEE: read |z − a| as a distance (circle and disc), the topper's distance-or-angle check, and the triangle inequality for the greatest and least |z|. Two solved JEE-style problems: the maximum of |z| when |z − 3/z| = 2, and the least distance between the points of two discs in the Argand plane.https://rankdeterminant.com/media/v/math-u2-ch2-c7.mp4?v=a5e1c6b93c4952026-10-14yes https://rankdeterminant.com/v/math-u2-ch3-c1https://rankdeterminant.com/media/v/math-u2-ch3-c1.jpg?v=32fc92961eThe Quadratic Equation and the Nature of its Roots | JEE Maths (English)How the discriminant D = b² − 4ac decides the nature of the roots of a quadratic equation: the quadratic formula by completing the square, distinct, equal and non-real conjugate roots, the perfect-square test for rational roots, the a + b + c = 0 trick, when a quadratic is an identity, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u2-ch3-c1.mp4?v=32fc92961e5062026-10-14yes https://rankdeterminant.com/v/math-u2-ch3-c2https://rankdeterminant.com/media/v/math-u2-ch3-c2.jpg?v=2d522b98abRelations Between Roots and Coefficients | JEE Maths (English)Relations between roots and coefficients for JEE: the sum and product of roots with the minus-sign trap, alpha square plus beta square, cubes, reciprocals and mod alpha minus beta from s and p, Newton's recurrence for power sums with S0 = 2, the polar-form trick for complex roots, and two solved problems including JEE Main 2020.https://rankdeterminant.com/media/v/math-u2-ch3-c2.mp4?v=2d522b98ab5082026-10-14yes https://rankdeterminant.com/v/math-u2-ch3-c3https://rankdeterminant.com/media/v/math-u2-ch3-c3.jpg?v=bf4fa55be8-cdd3faForming and Transforming Equations | JEE Maths (English)How to form a quadratic from its roots (x squared minus sum times x plus product) and how to transform one without solving it: roots shifted by h, multiplied by k, negated, reciprocal and squared. The classic x minus h trap, the topper's squaring method, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u2-ch3-c3.mp4?v=bf4fa55be8-cdd3fa5212026-10-16yes https://rankdeterminant.com/v/math-u2-ch3-c4https://rankdeterminant.com/media/v/math-u2-ch3-c4.jpg?v=f9778c029c-5bbc19Common Roots | JEE Maths (English)How to solve common root questions on two quadratic equations: the condition for a common root from cross multiplication, the condition for both roots common, the topper's trick of killing the x squared term, the non-real roots trap, and two solved JEE-style problems, one of them from JEE Main.https://rankdeterminant.com/media/v/math-u2-ch3-c4.mp4?v=f9778c029c-5bbc194962026-10-16yes https://rankdeterminant.com/v/math-u2-ch3-c5https://rankdeterminant.com/media/v/math-u2-ch3-c5.jpg?v=d8d4680c7e-0ec716Equations Reducible to Quadratics | JEE Maths (English)How to turn modulus, exponential, square-root, reciprocal and logarithmic equations into a quadratic with one substitution: put t = |x| or t = p^x, reject impossible values of t, check for extraneous roots after squaring, the IIT-JEE 1978 square-root trick, and two solved problems, one from JEE Main 2014, with the classic traps.https://rankdeterminant.com/media/v/math-u2-ch3-c5.mp4?v=d8d4680c7e-0ec7165062026-10-16yes https://rankdeterminant.com/v/math-u2-ch3-c6https://rankdeterminant.com/media/v/math-u2-ch3-c6.jpg?v=5f8ec4ff11Chapter Summary: Mixed Solved Problems on Quadratic Equations | JEE Maths (English)A chapter summary of quadratic equations in three tools: domain first (why cancelling can give a root that is not allowed), Vieta's sum and product with the discriminant D, and the topper's trick that a quadratic with positive leading coefficient is positive for every x exactly when D < 0. Plus two solved IIT-JEE past-paper problems with their classic traps.https://rankdeterminant.com/media/v/math-u2-ch3-c6.mp4?v=5f8ec4ff114682026-10-14yes https://rankdeterminant.com/v/math-u2-ch4-c1https://rankdeterminant.com/media/v/math-u2-ch4-c1.jpg?v=b5a8435db6The Graph and the Sign of a Quadratic Expression | JEE Maths (English)When is ax^2 + bx + c positive for every real x? Complete the square to see the parabola, its vertex and axis, then read the sign from a and the discriminant D: always positive, always negative, and the sign outside and between the roots. Plus the JEE trap of a parameter in the x^2 coefficient, with two solved problems.https://rankdeterminant.com/media/v/math-u2-ch4-c1.mp4?v=b5a8435db65082026-10-14yes https://rankdeterminant.com/v/math-u2-ch4-c2https://rankdeterminant.com/media/v/math-u2-ch4-c2.jpg?v=3e9797b3ceMaximum and Minimum Values; Range | JEE Maths (English)Maximum and minimum value of a quadratic expression for JEE: minus D over 4a at the vertex x = -b/2a, why a > 0 gives only a minimum, the closed-interval trap of checking only the end points, and the discriminant method for the range of a quadratic over a quadratic, with two solved problems.https://rankdeterminant.com/media/v/math-u2-ch4-c2.mp4?v=3e9797b3ce5052026-10-14yes https://rankdeterminant.com/v/math-u2-ch4-c3https://rankdeterminant.com/media/v/math-u2-ch4-c3.jpg?v=5bc810b0c0Location of Roots | JEE Maths (English)Where do the roots of a quadratic lie compared with a number k? Read the conditions off the parabola: af(k) < 0 when k is between the roots, the three conditions for both roots greater or less than k, both roots in (k1, k2), exactly one root and its boundary trap, the signs of the roots, and two JEE-style solved problems.https://rankdeterminant.com/media/v/math-u2-ch4-c3.mp4?v=5bc810b0c04982026-10-14yes https://rankdeterminant.com/v/math-u2-ch4-c4https://rankdeterminant.com/media/v/math-u2-ch4-c4.jpg?v=ac6a74cc0fQuadratic and Rational Inequalities | JEE Maths (English)How to solve quadratic and rational inequalities without losing answers: find the roots and use the sign rule, the wavy-curve (sign scheme) method with odd and even multiplicity, which critical points to include, and the classic JEE trap of multiplying both sides by an expression of unknown sign. Two solved problems, easy then harder.https://rankdeterminant.com/media/v/math-u2-ch4-c4.mp4?v=ac6a74cc0f5352026-10-14yes https://rankdeterminant.com/v/math-u2-ch4-c5https://rankdeterminant.com/media/v/math-u2-ch4-c5.jpg?v=b83b0bd04aQuadratic Expressions in Two Variables | JEE Maths (English)When does ax² + 2hxy + by² + 2gx + 2fy + c split into two linear factors? Learn the condition abc + 2fgh − af² − bg² − ch² = 0 and its 3×3 determinant form, the half-coefficient trap for h, g and f, the topper's discriminant trick for the range of y when x and y are real, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u2-ch4-c5.mp4?v=b83b0bd04a5352026-10-14yes https://rankdeterminant.com/v/math-u2-ch4-c6https://rankdeterminant.com/media/v/math-u2-ch4-c6.jpg?v=458e2a82f8Cubic Equations: Roots and Coefficients | JEE Maths (English)How the roots of a cubic hide in its coefficients: Vieta's relations for a cubic (sum of roots, sum of pair products, product of roots), the alternating-sign trap on the product, the sum of squares, reciprocals and cubes of the roots without solving, the topper's trick for roots in A.P. or G.P., and two JEE-style solved problems.https://rankdeterminant.com/media/v/math-u2-ch4-c6.mp4?v=458e2a82f85402026-10-14yes https://rankdeterminant.com/v/math-u2-ch4-c7https://rankdeterminant.com/media/v/math-u2-ch4-c7.jpg?v=ec8f786d4aChapter Summary: Mixed Solved Problems | JEE Maths (English)A chapter summary of quadratic expressions for JEE: read the location of roots off the parabola (D, af(k) and the vertex), get the signs of the roots from their sum and product, and use the topper's trick of counting the opposite for at least one positive root. Two solved problems: both roots in (0, 5), and counting the integers k that give a positive root.https://rankdeterminant.com/media/v/math-u2-ch4-c7.mp4?v=ec8f786d4a5292026-10-14yes https://rankdeterminant.com/v/math-u2-ch5-c1https://rankdeterminant.com/media/v/math-u2-ch5-c1.jpg?v=1019456889-91dedaOverview | JEE Maths (English)How to use the Unit 2 problem bank like a real JEE paper: attempt it after Chapters 1 to 4, do Parts A and B as one timed test of about 90 minutes, decide which idea to use before you calculate, the Part C true-or-false concept checks with the root of minus four trap, and two solved problems: alpha^6 + beta^6 for x^2 - 2x + 4 = 0, and how many z satisfy z bar = z^5.https://rankdeterminant.com/media/v/math-u2-ch5-c1.mp4?v=1019456889-91deda4772026-10-16yes https://rankdeterminant.com/v/math-u2-ch5-c2https://rankdeterminant.com/media/v/math-u2-ch5-c2.jpg?v=918ff460ea-46bd88Part A: Complex Numbers | JEE Maths (English)A mixed problem class on complex numbers, taught like a live JEE class: big powers of omega that collapse, the modulus as a distance and the sign trap in a circle's centre, why z bar equals 1/z on the unit circle, z to the power 2025 in a few lines, and the classic puzzle of how many complex numbers satisfy z bar = z^5.https://rankdeterminant.com/media/v/math-u2-ch5-c2.mp4?v=918ff460ea-46bd884632026-10-16yes https://rankdeterminant.com/v/math-u2-ch5-c3https://rankdeterminant.com/media/v/math-u2-ch5-c3.jpg?v=af3fe45cdbPart B: Quadratic Equations and Expressions | JEE Maths (English)Mixed solved problems on quadratic equations and expressions for JEE Main and Advanced, taught like a live class: the sum and product of roots without finding them, modulus equations by substitution and by cases, the polar trick for powers of complex roots, and an equation with square roots where dividing blindly loses a root.https://rankdeterminant.com/media/v/math-u2-ch5-c3.mp4?v=af3fe45cdb5122026-10-14yes https://rankdeterminant.com/v/math-u2-ch5-c4https://rankdeterminant.com/media/v/math-u2-ch5-c4.jpg?v=cdb71d54bePart C: Concept Checks | JEE Maths (English)Quick true or false checks of the kind JEE has asked: if z squared is real, is z real? Learn when one counterexample settles a statement and when you need a one-line reason, with the classic traps on principal arguments, omega to the power n, the minimum of a quadratic on an interval, and if-and-only-if inequalities.https://rankdeterminant.com/media/v/math-u2-ch5-c4.mp4?v=cdb71d54be5162026-10-14yes https://rankdeterminant.com/v/math-u3-ch1-c1https://rankdeterminant.com/media/v/math-u3-ch1-c1.jpg?v=8be04ba12dMatrices and their Types | JEE Maths (English)What a matrix is, its order m by n and the entry a_ij, and every type you must recognise at a glance: row, column, square, zero, diagonal, scalar, identity, upper and lower triangular. Main diagonal, trace and equality of matrices, the classic traps, and two JEE-style solved problems: building a matrix from a formula, and counting 0-1 matrices of each type.https://rankdeterminant.com/media/v/math-u3-ch1-c1.mp4?v=8be04ba12d4972026-10-14yes https://rankdeterminant.com/v/math-u3-ch1-c2https://rankdeterminant.com/media/v/math-u3-ch1-c2.jpg?v=89140ad248Addition and Scalar Multiplication | JEE Maths (English)How to add and subtract matrices entry by entry (same order only), multiply a matrix by a scalar, the rules of matrix addition, and the topper's trick for solving matrix equations like 2X + 3Y = P, 3X + 2Y = Q, with two solved JEE-style examples and the sign traps students fall into.https://rankdeterminant.com/media/v/math-u3-ch1-c2.mp4?v=89140ad2485302026-10-14yes https://rankdeterminant.com/v/math-u3-ch1-c3https://rankdeterminant.com/media/v/math-u3-ch1-c3.jpg?v=6e6f96227aMatrix Multiplication | JEE Maths (English)Matrix multiplication explained like a live JEE class: when the product AB is defined and what its order is, the row times column rule, what still works (associative, distributive, identity and zero matrix) and what fails: AB not equal to BA, AB = O with non-zero matrices, no cancelling, and the (A+B) squared trap, with two solved examples.https://rankdeterminant.com/media/v/math-u3-ch1-c3.mp4?v=6e6f96227a4982026-10-14yes https://rankdeterminant.com/v/math-u3-ch1-c4https://rankdeterminant.com/media/v/math-u3-ch1-c4.jpg?v=0f7925b50fPowers of a Matrix and Special Matrices | JEE Maths (English)How to find big powers of a matrix quickly: the 2x2 identity A^2 - (tr A)A + |A|I = O, writing every power as pA + qI, idempotent, involutory and nilpotent matrices, and the topper's binomial trick A = aI + N, with two solved JEE-style examples, including A to the power 10, and the sign and entry-by-entry traps.https://rankdeterminant.com/media/v/math-u3-ch1-c4.mp4?v=0f7925b50f5142026-10-14yes https://rankdeterminant.com/v/math-u3-ch1-c5https://rankdeterminant.com/media/v/math-u3-ch1-c5.jpg?v=6185f7ff90-d30f31Transpose, Symmetric and Skew-symmetric Matrices | JEE Maths (English)Transpose of a matrix made simple: rows become columns, the reversal law for the transpose of a product, symmetric and skew-symmetric matrices, why a skew-symmetric matrix has zeros on its diagonal, how to split any square matrix into a symmetric and a skew-symmetric part, and how to count symmetric matrices, with two solved JEE-style examples and the common traps.https://rankdeterminant.com/media/v/math-u3-ch1-c5.mp4?v=6185f7ff90-d30f315392026-10-16yes https://rankdeterminant.com/v/math-u3-ch1-c6https://rankdeterminant.com/media/v/math-u3-ch1-c6.jpg?v=68532db13bTrace, Commuting and Orthogonal Matrices | JEE Maths (English)Trace of a matrix made simple: the rules of trace, why the trace of AB equals the trace of BA even when AB is not equal to BA, the one-line proof that AB - BA = I is impossible, commuting matrices and the (A+B)² trap, and orthogonal matrices with the quick row test, plus two solved JEE-style examples and the common sign and counting traps.https://rankdeterminant.com/media/v/math-u3-ch1-c6.mp4?v=68532db13b5022026-10-14yes https://rankdeterminant.com/v/math-u3-ch2-c1https://rankdeterminant.com/media/v/math-u3-ch2-c1.jpg?v=2742e44928-53c0c2Evaluating Determinants | JEE Maths (English)Evaluating determinants made simple: the 2 by 2 rule ad minus bc, minors and cofactors, the chessboard of signs, expanding a 3 by 3 determinant along any row or column, why you pick the line with the most zeros, the zero sum with another row's cofactors, triangular determinants, and two solved JEE-style examples with the classic sign traps.https://rankdeterminant.com/media/v/math-u3-ch2-c1.mp4?v=2742e44928-53c0c25052026-10-16yes https://rankdeterminant.com/v/math-u3-ch2-c2https://rankdeterminant.com/media/v/math-u3-ch2-c2.jpg?v=ba166404b0Properties of Determinants | JEE Maths (English)Properties of determinants made simple: why the determinant of A transpose equals that of A, how a row swap changes the sign, why equal or proportional rows give zero, taking a common factor out of one row, splitting a row into two determinants, the safe row operation R_i to R_i + kR_j, the |kA| = k^n |A| trap, and two solved JEE-style examples.https://rankdeterminant.com/media/v/math-u3-ch2-c2.mp4?v=ba166404b04902026-10-14yes https://rankdeterminant.com/v/math-u3-ch2-c3https://rankdeterminant.com/media/v/math-u3-ch2-c3.jpg?v=98e10040b6The Factor Theorem and Standard Determinants | JEE Maths (English)How to factorise a determinant without expanding it: the factor theorem trick (if x = a makes two rows equal, x minus a is a factor), the Vandermonde determinant (a-b)(b-c)(c-a), its family of standard results, the cyclic determinant and its minus sign, the x+a, b, c pattern, and two solved JEE-style problems including a trigonometric determinant equation.https://rankdeterminant.com/media/v/math-u3-ch2-c3.mp4?v=98e10040b64902026-10-14yes https://rankdeterminant.com/v/math-u3-ch2-c4https://rankdeterminant.com/media/v/math-u3-ch2-c4.jpg?v=b96aee101e-d1d797Products, Powers and Special Matrices | JEE Maths (English)Determinant of a product of matrices made simple: why |AB| = |A||B| and |AB| = |BA| even when AB is not BA, |A^m| = |A|^m, |kA| = k^n|A|, the determinants of orthogonal, involutory, idempotent, nilpotent and odd-order skew-symmetric matrices, the row-by-row multiplication trick, and two solved JEE-style examples with their traps.https://rankdeterminant.com/media/v/math-u3-ch2-c4.mp4?v=b96aee101e-d1d7975012026-10-16yes https://rankdeterminant.com/v/math-u3-ch2-c5https://rankdeterminant.com/media/v/math-u3-ch2-c5.jpg?v=41d538a0bdArea, Collinearity and Calculus with Determinants | JEE Maths (English)How one determinant gives the area of a triangle from its vertices, why the modulus and the half matter, the condition for three points to be collinear, the equation of a line through two points as a determinant, and how to differentiate a determinant one row at a time, with two solved JEE-style examples and the common traps.https://rankdeterminant.com/media/v/math-u3-ch2-c5.mp4?v=41d538a0bd5022026-10-14yes https://rankdeterminant.com/v/math-u3-ch3-c1https://rankdeterminant.com/media/v/math-u3-ch3-c1.jpg?v=ef52875d69-284c45The Adjoint | JEE Maths (English)How to find the adjoint of a matrix: the transpose of the matrix of cofactors, the swap-the-diagonal shortcut for 2×2 matrices, why A adj A = adj A A = |A| I, the singular case where the product is the zero matrix, and two solved JEE-style examples with the classic forgot-the-transpose trap.https://rankdeterminant.com/media/v/math-u3-ch3-c1.mp4?v=ef52875d69-284c454872026-10-16yes https://rankdeterminant.com/v/math-u3-ch3-c2https://rankdeterminant.com/media/v/math-u3-ch3-c2.jpg?v=a42d23dd05The Inverse of a Matrix | JEE Maths (English)How to find the inverse of a matrix: when it exists (a non-zero determinant), A inverse = adj A over |A|, the 2×2 swap-and-change-sign shortcut, the reversal law (AB)^-1 = B^-1 A^-1 and the other rules, the topper's trick of reading the inverse off a matrix equation, and two solved JEE-style examples with their traps.https://rankdeterminant.com/media/v/math-u3-ch3-c2.mp4?v=a42d23dd055232026-10-14yes https://rankdeterminant.com/v/math-u3-ch3-c3https://rankdeterminant.com/media/v/math-u3-ch3-c3.jpg?v=4295d95487Properties of the Adjoint | JEE Maths (English)Properties of the adjoint of a matrix for JEE: why |adj A| = |A|^(n-1), adj(adj A) = |A|^(n-2) A and its determinant, adj(kA) = k^(n-1) adj A, adj(AB) = adj B adj A, adj of a power, transpose and inverse, the topper's inside-out trick for nested adjoints, and two solved JEE-style problems with the classic scalar traps.https://rankdeterminant.com/media/v/math-u3-ch3-c3.mp4?v=4295d954875342026-10-14yes https://rankdeterminant.com/v/math-u3-ch3-c4https://rankdeterminant.com/media/v/math-u3-ch3-c4.jpg?v=a5d13341f5Matrix Equations and Special Inverses | JEE Maths (English)How to solve matrix equations AX = B, XA = B and AXC = B with the inverse on the correct side, why X = BA^-1 and X = A^-1 B differ, orthogonal matrices (A^-1 = A^T), similar matrices (B = P^-1 AP keeps the determinant and trace), the skew-symmetric result, and two solved JEE-style examples.https://rankdeterminant.com/media/v/math-u3-ch3-c4.mp4?v=a5d13341f55402026-10-14yes https://rankdeterminant.com/v/math-u3-ch4-c1https://rankdeterminant.com/media/v/math-u3-ch4-c1.jpg?v=52b27116acThe Matrix Method and Cramer's Rule | JEE Maths (English)Cramer's rule and the matrix method for JEE Maths: writing a system of linear equations as AX = B, consistent, inconsistent and homogeneous systems, why X = A^(-1)B needs a non-zero determinant, how to build Delta 1, Delta 2, Delta 3 by replacing columns, the classic order and missing-term traps, and two solved problems.https://rankdeterminant.com/media/v/math-u3-ch4-c1.mp4?v=52b27116ac5072026-10-14yes https://rankdeterminant.com/v/math-u3-ch4-c2https://rankdeterminant.com/media/v/math-u3-ch4-c2.jpg?v=0e13638078Consistency: One, Infinitely Many or No Solutions | JEE Maths (English)When does a system of linear equations have exactly one solution, infinitely many, or none? The three cases using Delta and Delta 1, Delta 2, Delta 3, the trap where all four determinants are zero and still there is no solution, the topper's row-combination shortcut, and two solved JEE-style problems on consistency.https://rankdeterminant.com/media/v/math-u3-ch4-c2.mp4?v=0e136380785062026-10-14yes https://rankdeterminant.com/v/math-u3-ch4-c3https://rankdeterminant.com/media/v/math-u3-ch4-c3.jpg?v=669e6b3da1Homogeneous Systems | JEE Maths (English)Homogeneous systems of linear equations AX = O for JEE Maths: why the trivial solution always exists, how the determinant decides between only the trivial solution and infinitely many non-trivial ones, the cross-product shortcut for x : y : z, the classic no-solution and middle-sign traps, and two solved problems.https://rankdeterminant.com/media/v/math-u3-ch4-c3.mp4?v=669e6b3da15132026-10-14yes https://rankdeterminant.com/v/math-u3-ch5-c1https://rankdeterminant.com/media/v/math-u3-ch5-c1.jpg?v=18752444e6Overview | JEE Maths (English)How to use the mixed JEE Main-pattern problems on matrices and determinants: the five question types, three sets of 15 problems at one to two minutes each, the whole set before any solution, and two solved problems: the sum of the entries of A^10 for the all-ones matrix, and |adj(adj(3A))| with the |kA| = k^n|A| trap.https://rankdeterminant.com/media/v/math-u3-ch5-c1.mp4?v=18752444e64462026-10-14yes https://rankdeterminant.com/v/math-u3-ch5-c2https://rankdeterminant.com/media/v/math-u3-ch5-c2.jpg?v=e33dc76c5fMixed Problems: Set 1 (Matrix Algebra and Powers) | JEE Maths (English)Find large powers of a matrix in JEE Main without long multiplication: the A squared = kA pattern and its k to the power n minus 1 trap, powers that cycle back to the identity matrix, and the topper's A = I + N trick with a nilpotent N and the binomial theorem. Two solved problems: the sum of all entries of A^10 and of A^50.https://rankdeterminant.com/media/v/math-u3-ch5-c2.mp4?v=e33dc76c5f4572026-10-14yes https://rankdeterminant.com/v/math-u3-ch5-c3https://rankdeterminant.com/media/v/math-u3-ch5-c3.jpg?v=ce5d440d13Mixed Problems: Set 2 (Determinants, Adjoint and Inverse) | JEE Maths (English)Solve JEE Main-pattern determinant, adjoint and inverse problems in one to two minutes: |kA| = k^n|A| (the classic trap), |A inverse| = 1/|A|, |adj A| = |A|^(n-1), and the 2x2 identity A^2 - (tr A)A + |A|I = O that gives the inverse fast. Two solved problems: |adj(2A inverse)| for |A| = 3, and A inverse = alpha I + beta A.https://rankdeterminant.com/media/v/math-u3-ch5-c3.mp4?v=ce5d440d134512026-10-14yes https://rankdeterminant.com/v/math-u3-ch5-c4https://rankdeterminant.com/media/v/math-u3-ch5-c4.jpg?v=e2ad64b2f0Mixed Problems: Set 3 (Linear Systems) | JEE Maths (English)Solve JEE Main linear system problems with a parameter in a minute or two: when the determinant gives exactly one solution, why a zero determinant can mean no solution or infinitely many, the topper's row-combination shortcut, homogeneous systems with non-trivial solutions, and two solved problems, including a dice probability question that is really a determinant question.https://rankdeterminant.com/media/v/math-u3-ch5-c4.mp4?v=e2ad64b2f05072026-10-14yes https://rankdeterminant.com/v/math-u3-ch6-c1https://rankdeterminant.com/media/v/math-u3-ch6-c1.jpg?v=b2ee6d6693Overview | JEE Maths (English)How to use the Matrices and Determinants unit problem bank: Part A as a 40-minute JEE Main test after Chapters 1 to 5, the hard JEE Advanced problems of Part B, the true-or-false concept checks of Part C with the (AB)^T trap, and two solved problems: A inverse = kA using the trace, and a linear system with two parameters p and q.https://rankdeterminant.com/media/v/math-u3-ch6-c1.mp4?v=b2ee6d66934672026-10-14yes https://rankdeterminant.com/v/math-u3-ch6-c2https://rankdeterminant.com/media/v/math-u3-ch6-c2.jpg?v=89ac136644-6fe6b5Part A: JEE Main Level | JEE Maths (English)A mixed problem class on matrices and determinants at JEE Main level, taught like a live JEE class: the area of a triangle as half the modulus of a determinant (and why a negative answer is a trap), what a zero determinant really says about a system of equations, the L3 = pL1 + qL2 shortcut, and two solved problems from the unit problem bank.https://rankdeterminant.com/media/v/math-u3-ch6-c2.mp4?v=89ac136644-6fe6b54942026-10-17yes https://rankdeterminant.com/v/math-u3-ch6-c4https://rankdeterminant.com/media/v/math-u3-ch6-c4.jpg?v=c52f141c4e-17f759Part C: Concept Checks | JEE Maths (English)True or false and assertion reason checks on matrices and determinants: why one counterexample is enough, AB = O without A or B being zero, the reversal law for transpose, inverse and adjoint, |kA| = k^n |A|, adj(kA) = k^(n-1) adj A, skew-symmetric matrices of odd order, and why |A+B| is not |A| + |B|.https://rankdeterminant.com/media/v/math-u3-ch6-c4.mp4?v=c52f141c4e-17f7595012026-10-17yes https://rankdeterminant.com/v/math-u4-ch1-c1https://rankdeterminant.com/media/v/math-u4-ch1-c1.jpg?v=d5b558b699-a9c990The Fundamental Principles of Counting | JEE Maths (English)The fundamental principles of counting for JEE: the multiplication principle (one step and then another, so multiply), the addition principle (cases that cannot happen together, so add), the topper's trick of filling the most restricted place first, and two solved problems on routes between towns and 3-digit even numbers with all digits different, with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch1-c1.mp4?v=d5b558b699-a9c9904532026-10-17yes https://rankdeterminant.com/v/math-u4-ch1-c2https://rankdeterminant.com/media/v/math-u4-ch1-c2.jpg?v=7f05369a80-974489Factorials and Permutations | JEE Maths (English)What a permutation is, the nPr formula n!/(n-r)! for arranging r of n different objects without repetition, why 0! = 1, the n^r rule when repetition is allowed, the topper's trick of peeling factorials instead of expanding them, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch1-c2.mp4?v=7f05369a80-9744894822026-10-16yes https://rankdeterminant.com/v/math-u4-ch1-c3https://rankdeterminant.com/media/v/math-u4-ch1-c3.jpg?v=8ad2730c3d-2bb762Forming Numbers | JEE Maths (English)How to count numbers formed from given digits: why the first digit can never be zero, why you fix the last digits first for even numbers or divisibility by 4, 5 and 25, how digit-sum tests for 3 and 9 work, and the zero trap. Two solved JEE-style examples, including 5-digit numbers divisible by 5 made from 0, 1, 2, 3, 4, 5 without repetition.https://rankdeterminant.com/media/v/math-u4-ch1-c3.mp4?v=8ad2730c3d-2bb7624652026-10-16yes https://rankdeterminant.com/v/math-u4-ch1-c4https://rankdeterminant.com/media/v/math-u4-ch1-c4.jpg?v=c94496fe69-5f725aSums of Numbers and Digit Conditions | JEE Maths (English)How to find the sum of all numbers formed by arranging given digits without repetition: why each digit appears (n-1)! times in each place, the 111...1 place-value trick, the zero trap where arrangements beginning with 0 must be subtracted, and two solved JEE-style examples with digits 1, 2, 3, 4 and 0, 1, 2, 3.https://rankdeterminant.com/media/v/math-u4-ch1-c4.mp4?v=c94496fe69-5f725a4072026-10-16yes https://rankdeterminant.com/v/math-u4-ch2-c1https://rankdeterminant.com/media/v/math-u4-ch2-c1.jpg?v=bd287da07fArrangements of Objects that are not all Different | JEE Maths (English)How to count arrangements when some objects are identical: why swapping identical letters gives nothing new, the n!/(p! q! r!) formula, two kinds in a row and shortest grid paths as words in R and U, the topper's fixed-order trick, and two solved JEE-style problems: ALLAHABAD and MISSISSIPPI, and grid paths that avoid a point.https://rankdeterminant.com/media/v/math-u4-ch2-c1.mp4?v=bd287da07f4772026-10-14yes https://rankdeterminant.com/v/math-u4-ch2-c2https://rankdeterminant.com/media/v/math-u4-ch2-c2.jpg?v=f88fb663a2-5561c1Together, Apart and in Given Places | JEE Maths (English)How to count arrangements with conditions: the block method when objects must be together, the gap method when they must be apart, why m objects in a row make m+1 gaps but only m at a round table, not all together versus no two together, objects in given places, and two solved JEE-style examples with the words EQUATION and DAUGHTERS.https://rankdeterminant.com/media/v/math-u4-ch2-c2.mp4?v=f88fb663a2-5561c15082026-10-16yes https://rankdeterminant.com/v/math-u4-ch2-c3https://rankdeterminant.com/media/v/math-u4-ch2-c3.jpg?v=f4fefa3e57Words from Some of the Letters | JEE Maths (English)How to count words formed from only some of the letters of a word when letters repeat: why nPr gives too many and too few, splitting by pattern (all different, one pair, two pairs, a triple), choose then arrange, and two solved JEE-style problems: 3-letter words from PROPOSITION and 4-letter words from EXAMINATION.https://rankdeterminant.com/media/v/math-u4-ch2-c3.mp4?v=f4fefa3e574582026-10-14yes https://rankdeterminant.com/v/math-u4-ch2-c4https://rankdeterminant.com/media/v/math-u4-ch2-c4.jpg?v=0448c4010bRank in Dictionary Order | JEE Maths (English)How to find the rank of a word among all arrangements of its letters in dictionary order without writing the list: go letter by letter, count the words with a smaller letter at each place, divide by factorials when letters repeat, and add one. Two solved JEE-style examples with the words RANK and SUCCESS, and the classic traps.https://rankdeterminant.com/media/v/math-u4-ch2-c4.mp4?v=0448c4010b4262026-10-14yes https://rankdeterminant.com/v/math-u4-ch2-c5https://rankdeterminant.com/media/v/math-u4-ch2-c5.jpg?v=19cd3358fbCircular Arrangements | JEE Maths (English)How to count circular arrangements: why rotating everyone gives the same round-table seating, why n different people sit in (n-1)! ways, why necklaces and garlands are halved, r out of n in a circle, why m people at a round table make only m gaps, and two solved JEE-style problems: 8 people and 8 beads, and 5 men and 5 women who alternate.https://rankdeterminant.com/media/v/math-u4-ch2-c5.mp4?v=19cd3358fb4282026-10-14yes https://rankdeterminant.com/v/math-u4-ch3-c1https://rankdeterminant.com/media/v/math-u4-ch3-c1.jpg?v=804243ec0c-9dc0b1Combinations and their Properties | JEE Maths (English)What a combination is and why nCr = nPr / r!: selections where order does not matter, the n!/(r!(n-r)!) formula, the properties nCr = nC(n-r), a particular object always included or excluded, nCr + nC(r-1) = (n+1)Cr, and the sum 2^n, the order-matters trap, and two solved JEE-style problems: committees and handshakes, and a cricket XI.https://rankdeterminant.com/media/v/math-u4-ch3-c1.mp4?v=804243ec0c-9dc0b14802026-10-16yes https://rankdeterminant.com/v/math-u4-ch3-c2https://rankdeterminant.com/media/v/math-u4-ch3-c2.jpg?v=14a5e3ab02Selections with Conditions | JEE Maths (English)How to count selections with conditions in permutations and combinations: at least and at most by adding cases or by the complement, two particular people never together with nCr minus (n-2)C(r-2), and choosing from several groups by multiplying within a case and adding over cases. Two JEE-style committee problems solved step by step, with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch3-c2.mp4?v=14a5e3ab024272026-10-14yes https://rankdeterminant.com/v/math-u4-ch3-c3https://rankdeterminant.com/media/v/math-u4-ch3-c3.jpg?v=9eac22d63c-2c32ecIdentical Objects and Divisors | JEE Maths (English)How to count selections from identical objects with (p+1)(q+1)(r+1), why 'at least one' means minus one, why each different object doubles the count, and how the same idea gives the number of divisors, the sum of divisors, factor pairs, coprime factorisations and lcm pairs, with two solved JEE-style problems: coloured balls and the divisors of 720.https://rankdeterminant.com/media/v/math-u4-ch3-c3.mp4?v=9eac22d63c-2c32ec5092026-10-16yes https://rankdeterminant.com/v/math-u4-ch3-c4https://rankdeterminant.com/media/v/math-u4-ch3-c4.jpg?v=66dd03bc01-fab628Selection followed by Arrangement | JEE Maths (English)How to count words and numbers in two stages: first select the objects with nCr, multiplying over the groups, then arrange the chosen objects, r factorial ways for r different objects in a row, or just one way when the order is fixed. Two JEE-style solved problems, words from consonants and vowels and numbers with strictly increasing digits, with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch3-c4.mp4?v=66dd03bc01-fab6283692026-10-16yes https://rankdeterminant.com/v/math-u4-ch3-c5https://rankdeterminant.com/media/v/math-u4-ch3-c5.jpg?v=3edc67a44d-d07349Counting in Geometry | JEE Maths (English)How to count lines, triangles, diagonals and rectangles by choosing points and lines with nCr: n points with m collinear, diagonals of a convex polygon and their crossings, triangles with no side or exactly one side of a polygon, rectangles in a grid and parallelograms. Two JEE-style solved problems, collinear points and the squares and rectangles on a chessboard, with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch3-c5.mp4?v=3edc67a44d-d073494892026-10-16yes https://rankdeterminant.com/v/math-u4-ch4-c1https://rankdeterminant.com/media/v/math-u4-ch4-c1.jpg?v=9a39e2ba8a-c25b01Overview | JEE Maths (English)How to pick the right method for any distribution problem in permutations and combinations: ask whether the objects are different or identical, whether the boxes are different or identical, whether a box may be empty, and whether a box has a limit. With the 150 or 25 puzzle, the 243 minus 96 trap, and two solved examples: identical balls into different boxes, and different balls with no box empty.https://rankdeterminant.com/media/v/math-u4-ch4-c1.mp4?v=9a39e2ba8a-c25b014932026-10-16yes https://rankdeterminant.com/v/math-u4-ch4-c2https://rankdeterminant.com/media/v/math-u4-ch4-c2.jpg?v=a455fee390Dividing Different Objects into Groups | JEE Maths (English)How to divide different objects into groups: the formula n!/(a! b! c!) for groups of different sizes, why you divide by k! when equal-sized groups have no names, when to multiply by 3! for named people, rooms or teams, and the pairing formula 1·3·5···(2n−1). Two JEE-style solved problems, books into groups of 2, 3, 4 and 12 people into 3 groups of 4, with the classic trap.https://rankdeterminant.com/media/v/math-u4-ch4-c2.mp4?v=a455fee3904882026-10-14yes https://rankdeterminant.com/v/math-u4-ch4-c3https://rankdeterminant.com/media/v/math-u4-ch4-c3.jpg?v=a650173ddaIdentical Objects into Different Boxes | JEE Maths (English)How to count the ways to put n identical objects into k different boxes with the stars and bars method: the n+k-1 C k-1 formula, no box empty, lower bounds by shifting, upper bounds by subtracting the bad cases, a slack variable for inequalities, selection with repetition and the number of terms of an expansion. Two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch4-c3.mp4?v=a650173dda4922026-10-14yes https://rankdeterminant.com/v/math-u4-ch4-c4https://rankdeterminant.com/media/v/math-u4-ch4-c4.jpg?v=8973ae4470Different Objects into Different Boxes | JEE Maths (English)How to put n different objects into k different boxes: why the answer is k^n and not n^k, the formula for no box empty (onto functions) by inclusion and exclusion, the quick cases 3^n - 3·2^n + 3 and 2^n - 2, and boxes with fixed sizes. Two JEE-style solved problems: five people leaving a lift at six floors, and onto functions from a 6-element set onto 3 and 4 elements.https://rankdeterminant.com/media/v/math-u4-ch4-c4.mp4?v=8973ae44704852026-10-14yes https://rankdeterminant.com/v/math-u4-ch4-c5https://rankdeterminant.com/media/v/math-u4-ch4-c5.jpg?v=b0e661a929Derangements | JEE Maths (English)What a derangement is and how to count it: the formula D_n = n!(1 − 1/1! + 1/2! − 1/3! + …), the faster recurrence D_n = (n−1)(D_{n−1} + D_{n−2}), the values 0, 1, 2, 9, 44, 265, and exactly r objects in their own places with nCr·D_{n−r}. Two JEE-style solved problems on letters and envelopes, with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch4-c5.mp4?v=b0e661a9295142026-10-14yes https://rankdeterminant.com/v/math-u4-ch4-c6https://rankdeterminant.com/media/v/math-u4-ch4-c6.jpg?v=35b48bd736Identical Boxes | JEE Maths (English)How to put objects into identical boxes: different objects into k identical boxes with none empty by splitting them into unnamed groups, why equal-sized groups must be divided out, what changes when a box may be empty, and identical objects into identical boxes using partitions in decreasing order. Two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch4-c6.mp4?v=35b48bd7365132026-10-14yes https://rankdeterminant.com/v/math-u4-ch5-c1https://rankdeterminant.com/media/v/math-u4-ch5-c1.jpg?v=86fdb2612b-d44e73The Inclusion–Exclusion Principle | JEE Maths (English)How to count the objects with at least one property, or with none of them, using the inclusion–exclusion principle: two sets, three sets, the topper's S1, S2, S3 shortcut N − S1 + S2 − S3 + …, and two solved problems: integers from 1 to 100 divisible by 2 or 3, and arrangements of AABBCC with no two identical letters adjacent.https://rankdeterminant.com/media/v/math-u4-ch5-c1.mp4?v=86fdb2612b-d44e734942026-10-16yes https://rankdeterminant.com/v/math-u4-ch5-c2https://rankdeterminant.com/media/v/math-u4-ch5-c2.jpg?v=e5355af2bc-c6576dCounting Integers: Divisibility and g.c.d. | JEE Maths (English)How to count integers by divisibility: multiples of d up to N with the greatest integer function, multiples in a range from a to b (and why we use a minus one), numbers coprime to m by inclusion–exclusion over its primes, the phi function shortcut, and counting n with a given g.c.d. Two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch5-c2.mp4?v=e5355af2bc-c6576d4492026-10-17yes https://rankdeterminant.com/v/math-u4-ch5-c3https://rankdeterminant.com/media/v/math-u4-ch5-c3.jpg?v=0ec8222b85Counting Functions | JEE Maths (English)How to count functions from a set of m elements to a set of n elements: all functions n^m, one-one functions nPm, bijections n!, onto functions by inclusion–exclusion, into and many-one functions, strictly increasing and non-decreasing functions, fixing given values first, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u4-ch5-c3.mp4?v=0ec8222b855012026-10-14yes https://rankdeterminant.com/v/math-u4-ch5-c4https://rankdeterminant.com/media/v/math-u4-ch5-c4.jpg?v=6fe14e2d75-f601eeSubsets and Pairs of Subsets | JEE Maths (English)How to count subsets of a set with n elements: 2^n subsets, nCr of size r, half of even size; ordered pairs (A, B) with A a subset of B, disjoint pairs and covering pairs, all 3^n by the three-places trick; unordered disjoint pairs (3^n + 1)/2; subsets with no two consecutive numbers as Fibonacci numbers; two solved problems.https://rankdeterminant.com/media/v/math-u4-ch5-c4.mp4?v=6fe14e2d75-f601ee4732026-10-16yes https://rankdeterminant.com/v/math-u4-ch5-c5https://rankdeterminant.com/media/v/math-u4-ch5-c5.jpg?v=c2a9460f09-27ffa9Recurrences and Miscellaneous Counting | JEE Maths (English)How to count by building from smaller cases: the staircase problem with one or two steps at a time, binary strings with no two consecutive 1's, start values and the classic trap, plus league and knockout matches and 0-1 matrices with exactly two 1's in each row or in total. Two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u4-ch5-c5.mp4?v=c2a9460f09-27ffa94802026-10-16yes https://rankdeterminant.com/v/math-u4-ch6-c1https://rankdeterminant.com/media/v/math-u4-ch6-c1.jpg?v=c2c5c3242fOverview | JEE Maths (English)How to practise permutations and combinations for JEE Main: the question types (digits, words and ranks, committees, divisors, distributions, derangements, functions), three timed sets at one to two minutes a problem, reading the conditions first, and two solved problems: lines through 15 points with 6 collinear, and the dictionary rank of SCHOOL.https://rankdeterminant.com/media/v/math-u4-ch6-c1.mp4?v=c2c5c3242f4312026-10-14yes https://rankdeterminant.com/v/math-u4-ch6-c2https://rankdeterminant.com/media/v/math-u4-ch6-c2.jpg?v=14498f9126Mixed Problems: Set 1 (Numbers, Words, Arrangements) | JEE Maths (English)Solve JEE Main-pattern permutation problems in a minute or two: numbers divisible by 4 or 5 from given digits, the zero-in-front trap, words with repeated letters, letters together or not together, and the rank of a word in dictionary order. Two solved problems: 4-digit numbers divisible by 4, and the rank of SCHOOL.https://rankdeterminant.com/media/v/math-u4-ch6-c2.mp4?v=14498f91264822026-10-14yes https://rankdeterminant.com/v/math-u4-ch6-c3https://rankdeterminant.com/media/v/math-u4-ch6-c3.jpg?v=6916b47c1aMixed Problems: Set 2 (Selections, Divisors, Geometry) | JEE Maths (English)Set 2 of the JEE Main permutations and combinations mixed problems: selections with at least conditions (multiply within a case, add over the cases), the number of divisors from the prime factorisation, odd, even and perfect square divisors, and triangles from points on a circle. Two solved problems: a committee with at least 3 men, and the divisors of 1800.https://rankdeterminant.com/media/v/math-u4-ch6-c3.mp4?v=6916b47c1a4322026-10-14yes https://rankdeterminant.com/v/math-u4-ch6-c4https://rankdeterminant.com/media/v/math-u4-ch6-c4.jpg?v=1ac1faf17fMixed Problems: Set 3 (Distributions, Functions, Inclusion–Exclusion) | JEE Maths (English)Balls into boxes, onto functions and inclusion–exclusion, JEE Main pattern, each in a minute or two: stars and bars for identical objects with lower and upper limits, different objects into boxes with no box empty, onto functions, and functions with a condition. Two solved problems: 7 different balls into 3 boxes with no box empty (1806), and solutions of x+y+z=12 with x at most 3 (46).https://rankdeterminant.com/media/v/math-u4-ch6-c4.mp4?v=1ac1faf17f4902026-10-14yes https://rankdeterminant.com/v/math-u4-ch7-c1https://rankdeterminant.com/media/v/math-u4-ch7-c1.jpg?v=a81199b7f7-95964bOverview | JEE Maths (English)How to use the Permutations and Combinations unit problem bank: Part A as a 40-minute JEE Main test after Chapters 1 to 6, the JEE Advanced problems of Part B, the true-or-false concept checks of Part C with the stars and bars trap, and two solved problems by inclusion-exclusion: seating with A not first and B not last, and 12 identical balls in 3 boxes with at most 6 each.https://rankdeterminant.com/media/v/math-u4-ch7-c1.mp4?v=a81199b7f7-95964b4822026-10-16yes https://rankdeterminant.com/v/math-u4-ch7-c2https://rankdeterminant.com/media/v/math-u4-ch7-c2.jpg?v=eadf16cfa4-51a642Part A: JEE Main Level | JEE Maths (English)Two tools that many JEE Main permutation problems need: inclusion and exclusion for none of the bad cases, and the round table with the block method. Then two solved problems from the unit problem bank: five people in a row with two seat restrictions (78 ways), and eight people at a round table where two pairs must not be neighbours (2640 ways), with the classic add-back trap.https://rankdeterminant.com/media/v/math-u4-ch7-c2.mp4?v=eadf16cfa4-51a6425002026-10-17yes https://rankdeterminant.com/v/math-u4-ch7-c4https://rankdeterminant.com/media/v/math-u4-ch7-c4.jpg?v=2cfcabe90aPart C: Concept Checks | JEE Maths (English)Ten true or false concept checks in permutations and combinations: why a round table gives (n-1)! and a necklace half of it, no two together versus not all together, unnamed groups, a fixed order n!/k!, k^n for balls into boxes, stars and bars, identical fruit selections, onto functions and diagonals, plus two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u4-ch7-c4.mp4?v=2cfcabe90a5092026-10-14yes https://rankdeterminant.com/v/math-u5-ch1-c1https://rankdeterminant.com/media/v/math-u5-ch1-c1.jpg?v=ad1798d77bFactorials and Binomial Coefficients | JEE Maths (English)What n factorial and the binomial coefficient n C r mean, the formula and the fast way to compute it, the quick values, symmetry and the classic trap in nCx = nCy, Pascal's rule with a counting reason, absorption, and the topper's ratio-of-neighbours trick, with two solved JEE-style examples.https://rankdeterminant.com/media/v/math-u5-ch1-c1.mp4?v=ad1798d77b5032026-10-14yes https://rankdeterminant.com/v/math-u5-ch1-c2https://rankdeterminant.com/media/v/math-u5-ch1-c2.jpg?v=e0c23c969cThe Binomial Theorem | JEE Maths (English)The binomial theorem for a positive integral index explained from scratch: where the n C r coefficients come from, the expansion of (x+a)^n with n+1 terms, alternating signs in (x-a)^n, (1+x)^n, the binomial coefficient versus coefficient trap, and two solved JEE-style expansions.https://rankdeterminant.com/media/v/math-u5-ch1-c2.mp4?v=e0c23c969c5172026-10-14yes https://rankdeterminant.com/v/math-u5-ch1-c3https://rankdeterminant.com/media/v/math-u5-ch1-c3.jpg?v=6b0c32f4fdPascal's Triangle | JEE Maths (English)Build Pascal's triangle with Pascal's rule and read binomial coefficients straight off its rows. Learn the patterns: symmetry, row sums equal to 2^n, alternating sums equal to 0, the hockey stick identity, and why 11^5 is not 15101051. Two solved JEE-style problems from binomial theorem, class 11.https://rankdeterminant.com/media/v/math-u5-ch1-c3.mp4?v=6b0c32f4fd4942026-10-14yes https://rankdeterminant.com/v/math-u5-ch1-c4https://rankdeterminant.com/media/v/math-u5-ch1-c4.jpg?v=2b3abebd07Using the Expansion: Surds, Estimates and Identities | JEE Maths (English)How the binomial expansion turns surds into whole numbers: why the odd powers of root b cancel in (a+√b)^n + (a−√b)^n, why the difference is a multiple of root b, quick estimates with (1+x)^n > 1+nx, and two solved JEE-style problems, including (√3+√2)^6 + (√3−√2)^6 = 970 by a faster squaring trick.https://rankdeterminant.com/media/v/math-u5-ch1-c4.mp4?v=2b3abebd075002026-10-14yes https://rankdeterminant.com/v/math-u5-ch2-c1https://rankdeterminant.com/media/v/math-u5-ch2-c1.jpg?v=0a6b9a1304The General Term and Terms from the End | JEE Maths (English)How to find any single term of a binomial expansion without expanding it: the general term T(r+1) = nCr x^(n-r) a^r, why the r-th term uses r-1, the sign rule for (x-a)^n, the k-th term from the end as T(n-k+2), the ratio of neighbouring terms, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/math-u5-ch2-c1.mp4?v=0a6b9a13044512026-10-14yes https://rankdeterminant.com/v/math-u5-ch2-c2https://rankdeterminant.com/media/v/math-u5-ch2-c2.jpg?v=cc58b8e834-138c2eA Given Power of x; the Term Independent of x | JEE Maths (English)How to find the coefficient of any power of x, and the term independent of x, in a binomial expansion: write the general term T(r+1), collect the power of x, solve for r, spot when the term does not exist, and two solved JEE-style problems with minus signs and square roots.https://rankdeterminant.com/media/v/math-u5-ch2-c2.mp4?v=cc58b8e834-138c2e4862026-10-16yes https://rankdeterminant.com/v/math-u5-ch2-c3https://rankdeterminant.com/media/v/math-u5-ch2-c3.jpg?v=031cab3214Middle Terms | JEE Maths (English)How to find the middle term of (x+a)^n: one middle term T(n/2+1) when n is even, two middle terms T((n+1)/2) and T((n+3)/2) when n is odd, why the middle term carries the greatest binomial coefficient, the r versus r+1 trap, and two solved JEE-style problems with signs and fractions.https://rankdeterminant.com/media/v/math-u5-ch2-c3.mp4?v=031cab32144532026-10-14yes https://rankdeterminant.com/v/math-u5-ch2-c4https://rankdeterminant.com/media/v/math-u5-ch2-c4.jpg?v=0a64ea7909-0666caRational and Integral Terms | JEE Maths (English)How to find and count the rational (integral) terms of (a^(1/p) + b^(1/q))^n: write the general term T(r+1), make p divide n - r and q divide r, list the good values of r as an A.P. with common difference lcm(p, q), get the irrational terms as (n + 1) minus the rational ones, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/math-u5-ch2-c4.mp4?v=0a64ea7909-0666ca4772026-10-16yes https://rankdeterminant.com/v/math-u5-ch2-c5https://rankdeterminant.com/media/v/math-u5-ch2-c5.jpg?v=21c171e3a0When a Term Has a Given Value | JEE Maths (English)How to find x when the value of a term in a binomial expansion is given: write T(r+1) with r = k - 1 for the kth term, simplify the powers of x, set the term equal to the given value, and take logarithms when log x sits in the power. With the middle-term puzzle and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u5-ch2-c5.mp4?v=21c171e3a04772026-10-14yes https://rankdeterminant.com/v/math-u5-ch3-c1https://rankdeterminant.com/media/v/math-u5-ch3-c1.jpg?v=1a801056b1Consecutive Coefficients | JEE Maths (English)How to find n and r when three consecutive binomial coefficients are in a given ratio: decide which coefficients the question means, use the ratio of neighbours to get two equations, multiply by k for (1 + kx)^n, the A.P. condition (n - 2r)^2 = n + 2, why they are never in G.P. or H.P., and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u5-ch3-c1.mp4?v=1a801056b15092026-10-14yes https://rankdeterminant.com/v/math-u5-ch3-c2https://rankdeterminant.com/media/v/math-u5-ch3-c2.jpg?v=03566b0182Equal Coefficients and Unknown Constants | JEE Maths (English)How to find unknown constants when coefficients of a binomial expansion are given: write each coefficient with nCr, the powers and the number with x, make one equation per condition, then divide or subtract to cancel the big factors. Why the coefficients of x^3 and x^4 in (3+2x)^9 are equal, and two solved JEE-style problems with the k not zero and a-squared traps.https://rankdeterminant.com/media/v/math-u5-ch3-c2.mp4?v=03566b01825142026-10-14yes https://rankdeterminant.com/v/math-u5-ch3-c3https://rankdeterminant.com/media/v/math-u5-ch3-c3.jpg?v=ab0c269c14Coefficients in Products | JEE Maths (English)How to find the coefficient of x^k in a product of binomial expansions: pick powers that add up to k, use the sum of p_j times nC(k-j) for a short polynomial times (1+x)^n, simplify first with (1+x)^n(1-x)^n = (1-x^2)^n, plus Vandermonde's identity, the term independent of x, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u5-ch3-c3.mp4?v=ab0c269c145002026-10-14yes https://rankdeterminant.com/v/math-u5-ch3-c4https://rankdeterminant.com/media/v/math-u5-ch3-c4.jpg?v=47e25d2cf1Coefficients in Sums of Binomials | JEE Maths (English)How to find the coefficient of x^r in (1+x)^m + (1+x)^(m+1) + ... + (1+x)^n in one line: take kCr from each bracket (1+x)^k and add with the hockey stick, or sum the G.P. first and look for x^(r+1) in the numerator. Also the closed form for x^k(1+x)^(n-k), the 'where does the sum start' trap, and two solved JEE-style examples.https://rankdeterminant.com/media/v/math-u5-ch3-c4.mp4?v=47e25d2cf14672026-10-14yes https://rankdeterminant.com/v/math-u5-ch4-c1https://rankdeterminant.com/media/v/math-u5-ch4-c1.jpg?v=47cf732d43Overview | JEE Maths (English)Start of the chapter on sums of binomial coefficients: what C r means, why x = 1 gives 2^n and x = -1 gives 0, why the even and odd coefficient sums are each 2^(n-1), the f(1) and f(-1) rule for any polynomial, a map of the tools (differentiate, integrate, multiply, roots of unity), and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u5-ch4-c1.mp4?v=47cf732d434362026-10-14yes https://rankdeterminant.com/v/math-u5-ch4-c2https://rankdeterminant.com/media/v/math-u5-ch4-c2.jpg?v=fffcb1bb26-f71fb5Basic Sums | JEE Maths (English)Basic sums of binomial coefficients for JEE: put x = 1 and x = -1 in (1+x)^n to get 2^n and 0, why the even and odd sums are each 2^(n-1), the f(1) and f(-1) rule for any polynomial, the first half of an odd row equal to 2^(2m), the partial alternating sum (-1)^r (n-1)Cr proved by Pascal's rule, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u5-ch4-c2.mp4?v=fffcb1bb26-f71fb54532026-10-17yes https://rankdeterminant.com/v/math-u5-ch4-c3https://rankdeterminant.com/media/v/math-u5-ch4-c3.jpg?v=15277cfb9bWeighted Sums: ΣrCᵣ and Relatives | JEE Maths (English)How to find weighted sums of binomial coefficients like the sum of r C r = n 2^(n-1): the absorption rule, differentiating (1+x)^n, the falling-product trick for r^2 and r^3, the pairing shortcut for (ar+b) C r, why the alternating sum is zero for n at least 2, and two solved JEE-style examples with the classic trap.https://rankdeterminant.com/media/v/math-u5-ch4-c3.mp4?v=15277cfb9b4662026-10-14yes https://rankdeterminant.com/v/math-u5-ch4-c4https://rankdeterminant.com/media/v/math-u5-ch4-c4.jpg?v=0126b29332-92cb01Sums with frac 1r+1: Integration | JEE Maths (English)How to find sums of binomial coefficients divided by r+1 for JEE: integrate (1+x)^n from 0 to x, the sum of Cr/(r+1) = (2^(n+1)-1)/(n+1), the alternating sum 1/(n+1), the absorption rule read backwards, the (r+1)(r+2) formula, and two solved problems, including the sum of Cr/(r+2), with the classic traps.https://rankdeterminant.com/media/v/math-u5-ch4-c4.mp4?v=0126b29332-92cb014632026-10-16yes https://rankdeterminant.com/v/math-u5-ch4-c5https://rankdeterminant.com/media/v/math-u5-ch4-c5.jpg?v=f4cb2dd0c3-486c22Products and Squares: Vandermonde's Identity | JEE Maths (English)Vandermonde's identity for JEE: compare coefficients in (1+x)^m (1+x)^n = (1+x)^(m+n), the committee counting proof, why C0^2 + C1^2 + ... + Cn^2 = 2nCn, the topper's index trick for sums of products like C0Ck + C1C(k+1) + ..., and two solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u5-ch4-c5.mp4?v=f4cb2dd0c3-486c224612026-10-16yes https://rankdeterminant.com/v/math-u5-ch4-c6https://rankdeterminant.com/media/v/math-u5-ch4-c6.jpg?v=6a78a9438cEvery Second or Third Coefficient | JEE Maths (English)How to add every second or every third binomial coefficient for JEE: the roots of unity filter with i and omega, C0 - C2 + C4 - ... = 2^(n/2) cos(n pi/4), C0 + C3 + C6 + ... = (2^n + 2cos(n pi/3))/3, the sums of Cr cos r theta, and two solved problems from the course with the classic traps.https://rankdeterminant.com/media/v/math-u5-ch4-c6.mp4?v=6a78a9438c4802026-10-17yes https://rankdeterminant.com/v/math-u5-ch5-c1https://rankdeterminant.com/media/v/math-u5-ch5-c1.jpg?v=f0d9cf6c60The Greatest Binomial Coefficient | JEE Maths (English)Where the binomial coefficients nCr reach their peak: why they rise while r < (n+1)/2 and then fall, one middle coefficient for even n, two equal ones for odd n, the ratio test for the greatest coefficient of (a+bx)^n, the classic coefficient-versus-term trap, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u5-ch5-c1.mp4?v=f0d9cf6c605002026-10-14yes https://rankdeterminant.com/v/math-u5-ch5-c2https://rankdeterminant.com/media/v/math-u5-ch5-c2.jpg?v=854598d77e-14638cThe Numerically Greatest Term | JEE Maths (English)How to find the numerically greatest term of (x+a)^n for JEE: compare neighbouring terms, the ratio |T(r+1)/T(r)| = (n-r+1)/r times |a/x|, the number m = (n+1)|a|/(|x|+|a|), why the answer is T([m]+1), the tie T(m) = T(m+1) when m is an integer, and two solved problems from the course with the classic plus-one trap.https://rankdeterminant.com/media/v/math-u5-ch5-c2.mp4?v=854598d77e-14638c4982026-10-16yes https://rankdeterminant.com/v/math-u5-ch5-c3https://rankdeterminant.com/media/v/math-u5-ch5-c3.jpg?v=ee235c59ddDivisibility and Remainders | JEE Maths (English)How to find the remainder of a huge power, like 7^100 divided by 8, with the binomial theorem: write the base or a small power as km ± 1, expand, fix a negative remainder, and prove divisibility results such as 3^(2n+2) - 8n - 9 divisible by 64. Two solved JEE problems from the course, with the classic traps.https://rankdeterminant.com/media/v/math-u5-ch5-c3.mp4?v=ee235c59dd4972026-10-14yes https://rankdeterminant.com/v/math-u5-ch5-c4https://rankdeterminant.com/media/v/math-u5-ch5-c4.jpg?v=1af79198c5Integer Parts and Fractional Parts | JEE Maths (English)How to find the integer part and fractional part of numbers like (2+√3)^5 for JEE with the binomial theorem: write the number as I + f, pair it with its small conjugate f', use f + f' = 1 when the sum is an integer and f = f' when the difference is, the product (I+f)(1−f) = (a²−b)^n, the fractional part of a^N/m from the remainder, and two solved problems from the course.https://rankdeterminant.com/media/v/math-u5-ch5-c4.mp4?v=1af79198c54912026-10-14yes https://rankdeterminant.com/v/math-u5-ch5-c5https://rankdeterminant.com/media/v/math-u5-ch5-c5.jpg?v=20b304fc9cComparing Large Numbers and Approximations | JEE Maths (English)How to decide which of two huge powers is larger without a calculator: write a number as a round number plus a little and expand, divide when the powers differ and use (1 + 1/n)^n < 3, and approximate a power term by term. Solved course problems: 2^50 or 10^15, 1000^1000 or 1001^999, (1.002)^12 to four decimal places, and 99^50 + 100^50 or 101^50.https://rankdeterminant.com/media/v/math-u5-ch5-c5.mp4?v=20b304fc9c4982026-10-14yes https://rankdeterminant.com/v/math-u5-ch6-c1https://rankdeterminant.com/media/v/math-u5-ch6-c1.jpg?v=0bf10fd9c9The Multinomial Theorem | JEE Maths (English)The multinomial theorem for (x1+x2+...+xk)^n, taught like a live class: why each coefficient is n!/(n1! n2! ... nk!), the number of terms n+k-1Ck-1, the sum of the coefficients, the coefficient of x^m in (a+bx+cx^2)^n, the same-variable trap with (1+x+x^2)^n, and two solved JEE-style problems.https://rankdeterminant.com/media/v/math-u5-ch6-c1.mp4?v=0bf10fd9c94342026-10-14yes https://rankdeterminant.com/v/math-u5-ch6-c2https://rankdeterminant.com/media/v/math-u5-ch6-c2.jpg?v=a0dc07be07-6d98b8Trinomials by Factorising | JEE Maths (English)How to turn a trinomial question into a binomial one: the factorisations 1 - x^3 = (1 - x)(1 + x + x^2) and 1 + x^3 = (1 + x)(1 - x + x^2), the symmetry and coefficient sums of (1 + x + x^2)^n, and two solved course problems: the coefficient of x^15 in (1 - x)^10 (1 + x + x^2)^10 and of x^16 in (1 - x)^11 (1 + x + x^2)^10.https://rankdeterminant.com/media/v/math-u5-ch6-c2.mp4?v=a0dc07be07-6d98b84822026-10-17yes https://rankdeterminant.com/v/math-u5-ch6-c3https://rankdeterminant.com/media/v/math-u5-ch6-c3.jpg?v=abc618dda8-147076The Binomial Theorem for Any Index | JEE Maths (English)Binomial theorem for any rational index: the infinite expansion of (1+x)^n, the general term, why it is valid only for |x| < 1, the series for (1-x)^-1, (1-x)^-2, (1-x)^-3 and (1-x)^-n, taking out a^n from (a+b)^n, small x approximations, and two solved course problems: (1+x)^(1/2) up to x^3 and the coefficient of x^5 in (1-2x)^-3.https://rankdeterminant.com/media/v/math-u5-ch6-c3.mp4?v=abc618dda8-1470764752026-10-17yes https://rankdeterminant.com/v/math-u5-ch7-c1https://rankdeterminant.com/media/v/math-u5-ch7-c1.jpg?v=3b8bc5f46aOverview | JEE Maths (English)How to use the mixed JEE Main-pattern problems on the binomial theorem: the six question types, three sets of 15 problems at one to two minutes each, the whole set before any solution, and two solved problems: the coefficient of x^11 in (x^2 + 2/x)^10 with the forgotten 2^r trap, and the remainder when 3^101 is divided by 26.https://rankdeterminant.com/media/v/math-u5-ch7-c1.mp4?v=3b8bc5f46a4222026-10-14yes https://rankdeterminant.com/v/math-u5-ch7-c2https://rankdeterminant.com/media/v/math-u5-ch7-c2.jpg?v=4e16440083Mixed Problems: Set 1 (Terms and Coefficients) | JEE Maths (English)Two tools for JEE Main binomial questions on terms and coefficients: the general term T(r+1) with the power-of-x method for the constant term, and the ratio of neighbouring terms. Then two solved problems: the term independent of x in (x^3 - 2/x^2)^10, and finding x, a and n when the first three terms of (x+a)^n are 729, 7290 and 30375.https://rankdeterminant.com/media/v/math-u5-ch7-c2.mp4?v=4e164400835182026-10-14yes https://rankdeterminant.com/v/math-u5-ch7-c3https://rankdeterminant.com/media/v/math-u5-ch7-c3.jpg?v=1055f74956Mixed Problems: Set 2 (Sums of Coefficients) | JEE Maths (English)Three tools for JEE Main questions on sums of binomial coefficients: put x = 1 and x = -1, absorb the weight r so that the sum of r nCr is n 2^(n-1), and Vandermonde's identity with the index trick for products. Then two solved problems: the sum of r nCr when all the nCr add up to 1024 (answer 5120), and 10C0 10C2 + 10C1 10C3 + ... + 10C8 10C10 = 20C8 = 125970.https://rankdeterminant.com/media/v/math-u5-ch7-c3.mp4?v=1055f749564722026-10-14yes https://rankdeterminant.com/v/math-u5-ch7-c4https://rankdeterminant.com/media/v/math-u5-ch7-c4.jpg?v=8f6afdce6dMixed Problems: Set 3 (Greatest Terms, Remainders, Multinomials) | JEE Maths (English)Binomial theorem remainders, the greatest term and multinomials: Set 3 of the JEE Main-pattern mixed problems. Three tools: write a small power of the base as km plus or minus 1, find the number m for the greatest term, and list every (p, q, s) triple for a multinomial coefficient. Solved: the remainder when 2^60 is divided by 7, and the coefficient of x^4 in (1 + x + x^2)^6 without expanding.https://rankdeterminant.com/media/v/math-u5-ch7-c4.mp4?v=8f6afdce6d5032026-10-14yes https://rankdeterminant.com/v/math-u5-ch8-c1https://rankdeterminant.com/media/v/math-u5-ch8-c1.jpg?v=713a049340-a9f5d7Overview | JEE Maths (English)How to use the Binomial Theorem unit problem bank: Part A as a 40-minute JEE Main test after Chapters 1 to 7, the JEE Advanced ideas of Part B (integration, pairing tricks, conjugate surds, finite differences), the true-or-false traps of Part C, and two solved problems: the term independent of x in (2x^2 - 1/x)^6, and the pairing trick for sums of 1/nCr and r/nCr.https://rankdeterminant.com/media/v/math-u5-ch8-c1.mp4?v=713a049340-a9f5d74682026-10-16yes https://rankdeterminant.com/v/math-u5-ch8-c2https://rankdeterminant.com/media/v/math-u5-ch8-c2.jpg?v=435e1f3dd9Part A: JEE Main Level | JEE Maths (English)Part A of the binomial theorem problem bank at JEE Main level. Two tools: remainders by writing the base as km plus or minus 1, and sums of coefficients from f(1) and f(-1). Then two solved problems: the remainder when 5^2026 is divided by 13 (12, not -1), and a2 + a4 + ... + a12 for (1 + x - 2x^2)^6 (31, not 32), with the traps students fall into.https://rankdeterminant.com/media/v/math-u5-ch8-c2.mp4?v=435e1f3dd94832026-10-14yes https://rankdeterminant.com/v/math-u5-ch8-c4https://rankdeterminant.com/media/v/math-u5-ch8-c4.jpg?v=7f3c890439-a77ccdPart C: Concept Checks | JEE Maths (English)Ten true or false concept checks on the binomial theorem: n+1 terms, why nCr x^(n-r) a^r is the (r+1)th term, the terms of (x+y+z)^n, nCx = nCy, the sum of r nCr, the alternating sum, coefficients in G.P., |x|<1 for a fractional index, and the middle term versus the greatest term and greatest coefficient, plus two solved JEE Main level problems.https://rankdeterminant.com/media/v/math-u5-ch8-c4.mp4?v=7f3c890439-a77ccd5062026-10-16yes https://rankdeterminant.com/v/math-u6-ch1-c1https://rankdeterminant.com/media/v/math-u6-ch1-c1.jpg?v=18a52041c1-46deefSequences and Series | JEE Maths (English)Sequences and series from the start: a sequence as a function on the natural numbers, the general term T n, recurrences, sigma notation, S n as the sum of the first n terms, and the key result Tn = Sn − Sn−1 for n ≥ 2 with the T1 = S1 check. Two solved JEE-style examples, including the classic trap.https://rankdeterminant.com/media/v/math-u6-ch1-c1.mp4?v=18a52041c1-46deef4692026-10-16yes https://rankdeterminant.com/v/math-u6-ch1-c2https://rankdeterminant.com/media/v/math-u6-ch1-c2.jpg?v=cdc7136320-49ba89The General Term of an A.P. | JEE Maths (English)How to find any term of an arithmetic progression with T n = a + (n - 1)d, the nth term from the end, the 2b = a + c test for three numbers, the equidistant-terms property, and the topper's trick of choosing a - d, a, a + d. Two solved JEE-style problems with the classic off-by-one and plus-or-minus traps.https://rankdeterminant.com/media/v/math-u6-ch1-c2.mp4?v=cdc7136320-49ba894672026-10-16yes https://rankdeterminant.com/v/math-u6-ch1-c3https://rankdeterminant.com/media/v/math-u6-ch1-c3.jpg?v=63253f941fThe Sum of an A.P. | JEE Maths (English)How to find the sum of the first n terms of an arithmetic progression: S_n = n/2[2a+(n-1)d] = n/2(a+l), why a sum of the form An^2+Bn means an AP with d = 2A (not A), the topper's trick for the ratio of the kth terms of two APs, and two solved JEE-style problems: all three-digit multiples of 7, and why 24, 21, 18, ... reaches the sum 78 after 4 terms and again after 13.https://rankdeterminant.com/media/v/math-u6-ch1-c3.mp4?v=63253f941f4662026-10-15yes https://rankdeterminant.com/v/math-u6-ch1-c4https://rankdeterminant.com/media/v/math-u6-ch1-c4.jpg?v=c59c681624-31581bArithmetic Means and Common Terms | JEE Maths (English)How to insert n arithmetic means between a and b: d = (b-a)/(n+1), not (b-a)/n, the k th mean a + kd, and why the sum of the n means is n times the single A.M. (a+b)/2. Then the common terms of two APs: an AP with difference lcm(d1, d2), from the first common term up to the smaller last term. Two solved JEE-style problems: n means between 7 and 71 with sum 1287, and the terms common to 17, 21, 25, ... and 16, 21, 26, ...https://rankdeterminant.com/media/v/math-u6-ch1-c4.mp4?v=c59c681624-31581b4732026-10-16yes https://rankdeterminant.com/v/math-u6-ch2-c1https://rankdeterminant.com/media/v/math-u6-ch2-c1.jpg?v=7fafba0faaThe General Term of a G.P. | JEE Maths (English)How to find any term of a geometric progression with T n = a r^(n − 1), the b² = ac test for three numbers in G.P., what keeps a G.P. a G.P., why the logs of a positive G.P. form an A.P., products of terms equidistant from the ends, and the topper's trick a/r, a, ar. Two solved JEE-style problems with the classic power traps.https://rankdeterminant.com/media/v/math-u6-ch2-c1.mp4?v=7fafba0faa5052026-10-15yes https://rankdeterminant.com/v/math-u6-ch2-c2https://rankdeterminant.com/media/v/math-u6-ch2-c2.jpg?v=52fd6dc8d5Sums of a G.P. | JEE Maths (English)How to add a geometric progression: S n = a(r^n - 1)/(r - 1) for r not equal to 1, S n = na for r = 1, and the sum to infinity a/(1 - r) only when |r| < 1. Why the formula comes from multiplying by r and subtracting, the r = 2 trap, the topper's trick for recurring decimals and 7 + 77 + 777, and two solved JEE-style problems including the bouncing ball.https://rankdeterminant.com/media/v/math-u6-ch2-c2.mp4?v=52fd6dc8d54902026-10-15yes https://rankdeterminant.com/v/math-u6-ch2-c3https://rankdeterminant.com/media/v/math-u6-ch2-c3.jpg?v=dca4b8505cGeometric Means; A.P. and G.P. Together | JEE Maths (English)Geometric means for JEE Maths: the G.M. of two positive numbers a and b is root ab, n geometric means between a and b use r = (b/a)^(1/(n+1)), and their product is (root ab)^n. Find two numbers from their A.M. and G.M. with x^2 - 2Ax + G^2 = 0. Solved: A.M. 10 and G.M. 8 give 4 and 16, and three numbers in G.P. that add to 56 and become an A.P.: 8, 16, 32.https://rankdeterminant.com/media/v/math-u6-ch2-c3.mp4?v=dca4b8505c5042026-10-15yes https://rankdeterminant.com/v/math-u6-ch3-c1https://rankdeterminant.com/media/v/math-u6-ch3-c1.jpg?v=6c7a17492f-bf1134Harmonic Progressions | JEE Maths (English)How to solve every harmonic progression question by flipping it into an A.P.: the definition, why every term is non-zero and there is no sum formula, the condition b = 2ac/(a + c) for three numbers in H.P., the harmonic mean H = 2ab/(a + b), inserting harmonic means, and two solved JEE-style problems with the classic flip-back trap.https://rankdeterminant.com/media/v/math-u6-ch3-c1.mp4?v=6c7a17492f-bf11344672026-10-16yes https://rankdeterminant.com/v/math-u6-ch3-c2https://rankdeterminant.com/media/v/math-u6-ch3-c2.jpg?v=8e01ecd555-650501A.M.–G.M.–H.M. Inequality | JEE Maths (English)The A.M.–G.M.–H.M. inequality for JEE Maths: for positive numbers, A.M. ≥ G.M. ≥ H.M., with equality only when all the numbers are equal, and G² = AH for two numbers. Learn when to fix the product and when to fix the sum, the weighted A.M.–G.M. trick for products like x²y, and the positivity trap. Solved: the least value of x + 4/x for x > 0 is 4, and the greatest value of x²y with x + y = 6 is 32.https://rankdeterminant.com/media/v/math-u6-ch3-c2.mp4?v=8e01ecd555-6505014612026-10-17yes https://rankdeterminant.com/v/math-u6-ch3-c3https://rankdeterminant.com/media/v/math-u6-ch3-c3.jpg?v=e9c67ea1ad-6b221eArithmetico-Geometric Progressions | JEE Maths (English)How to sum an arithmetico-geometric progression for JEE Maths: the nth term [a+(n-1)d]r^(n-1), the multiply-by-r-and-subtract method, S infinity = a/(1-r) + dr/(1-r)^2 for |r| < 1, and the standard sums of n x^(n-1) and n x^n. Solved: 1 + 4/5 + 7/25 + ... = 35/16, the sum of n/2^n = 2, and the finite sum 1 + 2·2 + 3·2^2 + ... + 10·2^9 = 9217.https://rankdeterminant.com/media/v/math-u6-ch3-c3.mp4?v=e9c67ea1ad-6b221e4662026-10-16yes https://rankdeterminant.com/v/math-u6-ch4-c1https://rankdeterminant.com/media/v/math-u6-ch4-c1.jpg?v=2947a4f1e4Sums of Powers of Natural Numbers | JEE Maths (English)The three standard sums for JEE Maths: the sum of the first n natural numbers, of their squares and of their cubes, and why the sum of cubes is the square of n(n+1)/2. Learn sigma notation, how to add any polynomial term by expanding it, the rising products k(k+1) and k(k+1)(k+2), and the classic traps. Solved: the sums of squares and cubes up to 20, and a fraction series whose first 9 terms add to 96.https://rankdeterminant.com/media/v/math-u6-ch4-c1.mp4?v=2947a4f1e44872026-10-15yes https://rankdeterminant.com/v/math-u6-ch4-c2https://rankdeterminant.com/media/v/math-u6-ch4-c2.jpg?v=c63d14e844The Method of Differences | JEE Maths (English)The method of differences for JEE Maths: when a series is neither an A.P. nor a G.P., look at the gaps between its terms. Learn why Tn = T1 + the sum of the first n − 1 differences, why differences in A.P. give a quadratic Tn and differences in G.P. give ar^n + b, the n − 1 trap, and two solved problems: 2, 5, 10, 17, 26, … and 5 + 7 + 13 + 31 + 85 + …https://rankdeterminant.com/media/v/math-u6-ch4-c2.mp4?v=c63d14e8444932026-10-15yes https://rankdeterminant.com/v/math-u6-ch4-c3https://rankdeterminant.com/media/v/math-u6-ch4-c3.jpg?v=b3dee533ecTelescoping Sums | JEE Maths (English)Telescoping sums for JEE Maths: write each term as f(k) minus f(k-1), and the middle cancels so only the two ends survive. Learn to split 1/k(k+1), products of neighbouring A P terms with the 1/d factor, three factors in a row, k times k factorial and the root terms. Solved: the sum of 1/k(k+1) and its limit, and the classic k/(k^4+k^2+1) series.https://rankdeterminant.com/media/v/math-u6-ch4-c3.mp4?v=b3dee533ec4882026-10-15yes https://rankdeterminant.com/v/math-u6-ch4-c4https://rankdeterminant.com/media/v/math-u6-ch4-c4.jpg?v=6bfc207b83Recurrences, Pairing and Exponential Series | JEE Maths (English)Recurrences, pairing and the exponential series for JEE Maths: find alpha^n + beta^n from P(n+1) = pP(n) − qP(n−1) without the roots, what a linear recurrence and a generating function are, the f(x) + f(1 − x) pairing trick with its middle-term trap, and the sums of 1/n!, n/n!, n²/n! and odd or even factorials. Two solved problems: P5 for x² − x − 1 = 0 and a sum of 1995 terms.https://rankdeterminant.com/media/v/math-u6-ch4-c4.mp4?v=6bfc207b834972026-10-15yes https://rankdeterminant.com/v/math-u6-ch5-c1https://rankdeterminant.com/media/v/math-u6-ch5-c1.jpg?v=125b28f789-82e63dOverview | JEE Maths (English)How to use the mixed JEE Main-pattern problems on sequences and series: the five types recent JEE Main questions favour (sums of APs from partial sums, common terms, GP conditions on products and sums, AM-GM for extreme values, telescoping series), the three sets, and two solved problems: the 10th term when S_n = 5n^2 + 3n, and the terms common to two APs.https://rankdeterminant.com/media/v/math-u6-ch5-c1.mp4?v=125b28f789-82e63d4582026-10-16yes https://rankdeterminant.com/v/math-u6-ch5-c2https://rankdeterminant.com/media/v/math-u6-ch5-c2.jpg?v=71e7112719-a53839Mixed Problems: Set 1 | JEE Maths (English)Two quick tools for JEE Main sequences and series questions: the A.P. formulas for the nth term and the sum of n terms, and A.M. ≥ G.M. for the least value of a sum of positive terms. Then two solved problems: S20 when the 5th term is 16 and the 12th is 37 (answer 650), and the least value of 2x + 8/x² for x > 0 (answer 6), with the split-the-term trick.https://rankdeterminant.com/media/v/math-u6-ch5-c2.mp4?v=71e7112719-a538394422026-10-17yes https://rankdeterminant.com/v/math-u6-ch5-c3https://rankdeterminant.com/media/v/math-u6-ch5-c3.jpg?v=c6765fed47Mixed Problems: Set 2 | JEE Maths (English)Set 2 of the mixed JEE Main-pattern problems on sequences and series: an A.P. meeting a G.P. inside powers, the telescoping tool from the method of differences, three numbers in a G.P. found from their sum and the sum of their squares, and the sum of 1/k(k+1)(k+2)(k+3), with the classic traps of the missing 2 and the wrong number in front.https://rankdeterminant.com/media/v/math-u6-ch5-c3.mp4?v=c6765fed474582026-10-15yes https://rankdeterminant.com/v/math-u6-ch5-c4https://rankdeterminant.com/media/v/math-u6-ch5-c4.jpg?v=0b9a2305d5-d6439dMixed Problems: Set 3 | JEE Maths (English)Set 3 of the mixed JEE Main problems on sequences and series. Learn the chain A.M. ≥ G.M. ≥ H.M. for positive numbers, when to keep the product constant and when to keep the sum constant, and how to split terms to match the powers. Solved: the least value of 1/a + 1/b + 1/c when a + b + c = 3 (answer 3), and the greatest value of xy²z³ when x + 2y + 3z = 12 (answer 64).https://rankdeterminant.com/media/v/math-u6-ch5-c4.mp4?v=0b9a2305d5-d6439d4622026-10-16yes https://rankdeterminant.com/v/math-u6-ch6-c1https://rankdeterminant.com/media/v/math-u6-ch6-c1.jpg?v=a3445ce9f1-016e22Overview | JEE Maths (English)How to use the Sequences and Series unit problem bank, taught like a live class: Part A as a 30-minute JEE Main test, Part B at JEE Advanced level, Part C concept checks, why an infinite G.P. with r = -1 has no sum, the sum of 4 - 2 + 1 - 1/2 + ... to infinity, and the 2026th positive integer that is not a perfect square.https://rankdeterminant.com/media/v/math-u6-ch6-c1.mp4?v=a3445ce9f1-016e224422026-10-16yes https://rankdeterminant.com/v/math-u6-ch6-c2https://rankdeterminant.com/media/v/math-u6-ch6-c2.jpg?v=7d94a16fffPart A: JEE Main Level | JEE Maths (English)Part A of the sequences and series problem bank at JEE Main level. Two tools: the sum to infinity of a G.P., a/(1 - r), which exists only when |r| < 1, and A.M. ≥ G.M. for positive numbers. Then two solved problems: 4 - 2 + 1 - 1/2 + ... to infinity (8/3, not 8), and the least value of x + 1/x + y + 1/y for x, y > 0 (4, at x = y = 1), with the traps students fall into.https://rankdeterminant.com/media/v/math-u6-ch6-c2.mp4?v=7d94a16fff4582026-10-15yes https://rankdeterminant.com/v/math-u6-ch6-c4https://rankdeterminant.com/media/v/math-u6-ch6-c4.jpg?v=7a73b104c5Part C: Concept Checks | JEE Maths (English)Five true or false concept checks on sequences and series: is a constant non-zero sequence an A.P., a G.P. and an H.P.; is the H.M. of two unequal positive numbers less than their G.M.; does an infinite G.P. with r = -1 have a sum; if a, b, c are in A.P., are 2^a, 2^b, 2^c in G.P.; and is the sequence with Sn = n^2 + n + 1 an A.P.? With the traps behind each one.https://rankdeterminant.com/media/v/math-u6-ch6-c4.mp4?v=7a73b104c54882026-10-15yes https://rankdeterminant.com/v/math-u7-ch1-c1https://rankdeterminant.com/media/v/math-u7-ch1-c1.jpg?v=f464845a39-2a338aThe Idea of a Limit | JEE Maths (English)What a limit really means and why f(a) plays no part, left-hand and right-hand limits, and the rule that a limit exists only when LHL equals RHL and both are finite. Which functions need one-sided limits (modulus, greatest integer, fractional part, e^(1/x), piecewise), and two solved JEE-style examples, including lim (x^2 - 4)/(x - 2) as x tends to 2.https://rankdeterminant.com/media/v/math-u7-ch1-c1.mp4?v=f464845a39-2a338a4992026-10-15yes https://rankdeterminant.com/v/math-u7-ch1-c2https://rankdeterminant.com/media/v/math-u7-ch1-c2.jpg?v=232a7ad375-0ec97eAlgebra of Limits and Algebraic Limits | JEE Maths (English)Algebraic limits for JEE Maths: the algebra of limits and when it applies (finite limits, non-zero denominator), the seven indeterminate forms, factorising and cancelling (x - a) in the 0/0 form, the standard result (x^n - a^n)/(x - a) tends to n a^(n-1), rationalising surds with the conjugate, and two solved course examples with the common traps.https://rankdeterminant.com/media/v/math-u7-ch1-c2.mp4?v=232a7ad375-0ec97e5172026-10-15yes https://rankdeterminant.com/v/math-u7-ch1-c3https://rankdeterminant.com/media/v/math-u7-ch1-c3.jpg?v=95482dbee8-e47a3cLimits at Infinity | JEE Maths (English)How to find limits as x tends to plus or minus infinity: divide by the highest power in the denominator, compare degrees, rationalise infinity minus infinity with square roots, the root of x squared equals minus x trap as x tends to minus infinity, divide by the largest base for powers, and two solved JEE-style examples.https://rankdeterminant.com/media/v/math-u7-ch1-c3.mp4?v=95482dbee8-e47a3c5302026-10-15yes https://rankdeterminant.com/v/math-u7-ch1-c4https://rankdeterminant.com/media/v/math-u7-ch1-c4.jpg?v=b1ba14ebb1-066a2fTrigonometric Limits | JEE Maths (English)Standard trigonometric limits for JEE Maths: why sin x over x tends to 1 (the area proof, with the left and right limits), tan x over x, 1 − cos x over x squared equals one half, inverse sine and inverse tan limits, matching the angle, the x = a + h substitution, the product of cosines shortcut, the degrees trap, and two solved course examples.https://rankdeterminant.com/media/v/math-u7-ch1-c4.mp4?v=b1ba14ebb1-066a2f5362026-10-15yes https://rankdeterminant.com/v/math-u7-ch1-c5https://rankdeterminant.com/media/v/math-u7-ch1-c5.jpg?v=d44d8fc5a7-33bcbcExponential and Logarithmic Limits | JEE Maths (English)The standard exponential and logarithmic limits as x tends to 0: (e^x - 1)/x = 1, (a^x - 1)/x = ln a and ln(1+x)/x = 1. Where the number e comes from, why (1 + 1/x)^x does not tend to 1, the rule of replacing x by any u that tends to 0, and two solved JEE-style examples, including the factorisation trick for 12^x - 3^x - 4^x + 1.https://rankdeterminant.com/media/v/math-u7-ch1-c5.mp4?v=d44d8fc5a7-33bcbc4772026-10-15yes https://rankdeterminant.com/v/math-u7-ch2-c1https://rankdeterminant.com/media/v/math-u7-ch2-c1.jpg?v=ce8874957d-90de2eThe Form 1^∞ | JEE Maths (English)How to evaluate limits of the 1 to the power infinity form: why the answer is not simply 1, the rule lim f^g = e^(lim g(f - 1)), the shortcuts (1 + a/x)^(bx) and (1 + ax)^(b/x) tending to e^(ab), the 0^0 and infinity^0 forms by taking logarithms, and two solved JEE-style limits with the common traps.https://rankdeterminant.com/media/v/math-u7-ch2-c1.mp4?v=ce8874957d-90de2e4552026-10-15yes https://rankdeterminant.com/v/math-u7-ch2-c2https://rankdeterminant.com/media/v/math-u7-ch2-c2.jpg?v=f7fa6183e3-c592b2Series Expansions | JEE Maths (English)How to evaluate tricky limits with series expansions near x = 0: the expansions of e^x, log(1 + x), sin x, cos x, tan x, (1 + x)^n, inverse sine and inverse tan, the rule to expand up to the power in the denominator, the topper's cubic-term trick, the sin x is almost x trap, and two solved course examples, including finding a and b.https://rankdeterminant.com/media/v/math-u7-ch2-c2.mp4?v=f7fa6183e3-c592b25052026-10-15yes https://rankdeterminant.com/v/math-u7-ch2-c3https://rankdeterminant.com/media/v/math-u7-ch2-c3.jpg?v=a380e65810-dc381bL'Hôpital's Rule | JEE Maths (English)L'Hôpital's rule for JEE Maths: the three conditions (a 0/0 or ∞/∞ form, differentiable functions, and the limit of f'/g' existing), why you differentiate the top and the bottom separately, repeating the rule, growth of ln x, x^n and e^x, the 0·∞ form, the (x + sin x)/x trap where the rule says nothing, and two solved course examples.https://rankdeterminant.com/media/v/math-u7-ch2-c3.mp4?v=a380e65810-dc381b4892026-10-15yes https://rankdeterminant.com/v/math-u7-ch2-c4https://rankdeterminant.com/media/v/math-u7-ch2-c4.jpg?v=96eb358817-a012ecGreatest Integer, Fractional Part and the Sandwich Theorem | JEE Maths (English)How to find limits with the greatest integer and fractional part functions: the inequalities x - 1 < [x] ≤ x and 0 ≤ {x} < 1, the sandwich (squeeze) theorem and its conditions, why [sin x / x] tends to 0 but [tan x / x] tends to 1, the bounded times zero rule, and two solved course examples: [x]/x as x tends to infinity and x[1/x] as x tends to 0 from the right.https://rankdeterminant.com/media/v/math-u7-ch2-c4.mp4?v=96eb358817-a012ec4812026-10-15yes https://rankdeterminant.com/v/math-u7-ch2-c5https://rankdeterminant.com/media/v/math-u7-ch2-c5.jpg?v=47e0c72f01-759772Limits of Sequences and of Sums | JEE Maths (English)Limits of sequences and of sums for JEE Maths: why the n-th root of n tends to 1, why (1 + a/n)^n tends to e^a and not 1, why a^n/n! tends to 0, the telescoping trick F(k) − F(k+1) for sums and products, the 1/(p+1) rule for sums of powers, and two solved course examples.https://rankdeterminant.com/media/v/math-u7-ch2-c5.mp4?v=47e0c72f01-7597724542026-10-15yes https://rankdeterminant.com/v/math-u7-ch3-c1https://rankdeterminant.com/media/v/math-u7-ch3-c1.jpg?v=d81c4ea2c2-bd04cdContinuity at a Point | JEE Maths (English)Continuity of a function at a point for JEE Maths: the three checks (f(a) defined, the limit exists, the limit equals f(a)), left and right continuity, removable, jump, infinite and oscillatory discontinuities, and two solved problems, including x[x] at 0 and 1 with the common greatest integer trap.https://rankdeterminant.com/media/v/math-u7-ch3-c1.mp4?v=d81c4ea2c2-bd04cd4802026-10-15yes https://rankdeterminant.com/v/math-u7-ch3-c2https://rankdeterminant.com/media/v/math-u7-ch3-c2.jpg?v=ec7c0365bf-8966eeContinuity on an Interval, and Combinations | JEE Maths (English)Where do sums, products, quotients and composite functions break? The standard continuous functions, the algebra of continuity, the composition rule, why two discontinuous functions can add up to a continuous one, and two JEE-style solved problems on f(f(x)) and on y as a function of u, with the classic missed-point trap.https://rankdeterminant.com/media/v/math-u7-ch3-c2.mp4?v=ec7c0365bf-8966ee5102026-10-15yes https://rankdeterminant.com/v/math-u7-ch3-c3https://rankdeterminant.com/media/v/math-u7-ch3-c3.jpg?v=75aaa3b933-2e25ceFunctions Built from [x], x and Absolute Values | JEE Maths (English)Where do [x], {x} and [g(x)] break? Continuity of the greatest integer and fractional part functions for JEE Maths: why both are discontinuous exactly at the integers, the crossing and touching rule for [g(x)], how a factor like (x - 1) can make a product continuous, and two solved problems: [x] + [-x], and the number of discontinuities of [2 sin x] in (0, 2pi).https://rankdeterminant.com/media/v/math-u7-ch3-c3.mp4?v=75aaa3b933-2e25ce5252026-10-16yes https://rankdeterminant.com/v/math-u7-ch3-c4https://rankdeterminant.com/media/v/math-u7-ch3-c4.jpg?v=23e520a503-39695dThe Intermediate Value Theorem | JEE Maths (English)The intermediate value theorem explained: a function continuous on a closed interval takes every value in between, so a sign change means a root. Why 1/x on [-1, 1] breaks it, the move-everything-to-one-side trick, and two JEE-style solved problems: cos x = x in (0, pi/2), and f(c) = c for a continuous f from [0, 1] to [0, 1].https://rankdeterminant.com/media/v/math-u7-ch3-c4.mp4?v=23e520a503-39695d5002026-10-16yes https://rankdeterminant.com/v/math-u7-ch4-c1https://rankdeterminant.com/media/v/math-u7-ch4-c1.jpg?v=ac4da5240f-690abbThe Derivative | JEE Maths (English)The derivative from first principles for JEE Maths: f'(a) as a limit, the slope of the tangent, left-hand and right-hand derivatives, why differentiable implies continuous but not the reverse (corners and vertical tangents), and two solved problems: root x from first principles and x sin(1/x) at 0.https://rankdeterminant.com/media/v/math-u7-ch4-c1.mp4?v=ac4da5240f-690abb5042026-10-16yes https://rankdeterminant.com/v/math-u7-ch4-c2https://rankdeterminant.com/media/v/math-u7-ch4-c2.jpg?v=59e670598a-c94212Piecewise Functions | JEE Maths (English)How to check whether a piecewise function is differentiable at the junction: the values must meet (continuity) and the slopes must match (equal left and right derivatives). Why |x| has a corner at 0, why values come first, the missing minus sign trap with e to the power minus x, and two JEE-style solved problems where you find a and b.https://rankdeterminant.com/media/v/math-u7-ch4-c2.mp4?v=59e670598a-c942124552026-10-16yes https://rankdeterminant.com/v/math-u7-ch4-c3https://rankdeterminant.com/media/v/math-u7-ch4-c3.jpg?v=8ae3bedc48-3f24adCounting Points of Non-differentiability | JEE Maths (English)How to count the points where a function is not differentiable, for JEE Maths: corners of |g(x)| only at simple roots, why double roots, |x|^n and x|x| stay differentiable, the greatest integer and max or min functions, the list-test-count trick, and two solved problems: |x^2-3x+2| and |(x-1)^2(x-2)|.https://rankdeterminant.com/media/v/math-u7-ch4-c3.mp4?v=8ae3bedc48-3f24ad5282026-10-17yes https://rankdeterminant.com/v/math-u7-ch4-c4https://rankdeterminant.com/media/v/math-u7-ch4-c4.jpg?v=ebd99e0503-9ed605Functional Equations | JEE Maths (English)How to solve functional equations like f(x+y) = f(x) + f(y) + 2xy using the first-principles derivative: find f(0) with special values, rewrite f(x+h) with the equation, get f'(x), then f. The three standard answers with their conditions (f'(0)x, e^(f'(0)x), f'(1) ln x), the extra-term trap, and two JEE-style solved problems.https://rankdeterminant.com/media/v/math-u7-ch4-c4.mp4?v=ebd99e0503-9ed6054842026-10-15yes https://rankdeterminant.com/v/math-u7-ch5-c1https://rankdeterminant.com/media/v/math-u7-ch5-c1.jpg?v=e2427978bd-52115aStandard Derivatives and the Basic Rules | JEE Maths (English)All the standard derivatives for JEE Maths in one place: x to the power n, e^x, a^x, log x, mod x and the six trig derivatives, with the topper's minus-sign trick. Then the product, quotient and chain rules with their common traps, and two solved problems: a quotient, and f'(0) and f'(10) for x(x-1)(x-2)...(x-10).https://rankdeterminant.com/media/v/math-u7-ch5-c1.mp4?v=e2427978bd-52115a5192026-10-15yes https://rankdeterminant.com/v/math-u7-ch5-c2https://rankdeterminant.com/media/v/math-u7-ch5-c2.jpg?v=e10afcc9b8-df63abImplicit and Parametric Differentiation | JEE Maths (English)Implicit and parametric differentiation for JEE: find dy/dx without making y the subject. Why y squared gives 2y y' and not 2y, the shortcut dy/dx = -Fx/Fy for F(x, y) = 0, the parametric rule dy/dx = (dy/dt)/(dx/dt), the never-ending square root trick, and two solved problems: the circle x^2 + y^2 = 25 and the cycloid.https://rankdeterminant.com/media/v/math-u7-ch5-c2.mp4?v=e10afcc9b8-df63ab5022026-10-16yes https://rankdeterminant.com/v/math-u7-ch5-c3https://rankdeterminant.com/media/v/math-u7-ch5-c3.jpg?v=4c8873879e-a9bd6eLogarithmic Differentiation | JEE Maths (English)Logarithmic differentiation for JEE: why the power rule and the exponential rule both fail for x^x, the take-log, differentiate, multiply-by-y method, the formula for the derivative of u^v, long products and quotients turned into sums, the forget-to-multiply-by-y trap, and two solved problems, including dy/dx for x^y = y^x.https://rankdeterminant.com/media/v/math-u7-ch5-c3.mp4?v=4c8873879e-a9bd6e5022026-10-16yes https://rankdeterminant.com/v/math-u7-ch5-c4https://rankdeterminant.com/media/v/math-u7-ch5-c4.jpg?v=21fe284d17-a3e031Inverse Trigonometric Functions and Substitution | JEE Maths (English)Differentiation of inverse trigonometric functions for JEE: the six derivatives and why only three need learning, the substitutions x = sin θ and x = tan θ, the tan 2θ, sin 2θ and cos 2θ faces, and the interval trap in sin^-1(sin φ). Two solved problems: tan^-1(2x/(1-x^2)) in one line, and sin^-1(2x/(1+x^2)), whose derivative flips sign for x > 1.https://rankdeterminant.com/media/v/math-u7-ch5-c4.mp4?v=21fe284d17-a3e0315222026-10-15yes https://rankdeterminant.com/v/math-u7-ch5-c5https://rankdeterminant.com/media/v/math-u7-ch5-c5.jpg?v=89b379d3bc-35bdd2Higher Derivatives | JEE Maths (English)Higher derivatives for JEE: the second derivative and its notation, the parametric second derivative formula and the trap of dividing second derivatives, d2x/dy2 in terms of dy/dx, the nth derivatives of e^ax, sin x and 1/(x+a), the derivative of one function with respect to another, and two solved problems, including the second derivative for x = a cos^3 t, y = a sin^3 t.https://rankdeterminant.com/media/v/math-u7-ch5-c5.mp4?v=89b379d3bc-35bdd25182026-10-15yes https://rankdeterminant.com/v/math-u7-ch6-c1https://rankdeterminant.com/media/v/math-u7-ch6-c1.jpg?v=4edb19d40b-33ca01Rate of Change | JEE Maths (English)Why does a balloon's radius grow more slowly as it gets bigger? Rate of change and related rates for JEE Maths: the chain rule dy/dt = dy/dx · dx/dt, the four-step method, why you substitute the values only at the end, differentials and percentage error, and two solved problems: the inflating balloon and the sliding ladder.https://rankdeterminant.com/media/v/math-u7-ch6-c1.mp4?v=4edb19d40b-33ca014942026-10-15yes https://rankdeterminant.com/v/math-u7-ch6-c2https://rankdeterminant.com/media/v/math-u7-ch6-c2.jpg?v=0ba4258ea4-bd1426Tangents and Normals | JEE Maths (English)Tangents and normals for JEE Maths: the point-slope equations of the tangent and the normal at a point with m = f'(x1), horizontal and vertical tangents, the angle between two curves, the orthogonal condition m1m2 = -1, and the trap of a point not on the curve. Two solved problems: y = x^3 - 3x + 2 at (2, 4), and the two tangents to y = x^2 through (1, -3).https://rankdeterminant.com/media/v/math-u7-ch6-c2.mp4?v=0ba4258ea4-bd14264972026-10-15yes https://rankdeterminant.com/v/math-u7-ch6-c3https://rankdeterminant.com/media/v/math-u7-ch6-c3.jpg?v=f4be91cf2e-65cf65Increasing and Decreasing Functions | JEE Maths (English)Where does a function rise and where does it fall? Monotonicity for JEE Maths: the sign of f'(x), why isolated zeros of the derivative still give a strictly increasing function, the three-step method for intervals, proving inequalities such as sin x < x, counting roots, and two solved problems: the intervals of x³ − 6x² + 9x + 1, and which is larger, e^π or π^e.https://rankdeterminant.com/media/v/math-u7-ch6-c3.mp4?v=f4be91cf2e-65cf654882026-10-16yes https://rankdeterminant.com/v/math-u7-ch6-c4https://rankdeterminant.com/media/v/math-u7-ch6-c4.jpg?v=c41b8c9140-1dacf3Rolle's Theorem and the Mean Value Theorem | JEE Maths (English)Rolle's theorem and Lagrange's mean value theorem for JEE: the conditions each one needs, why |x| on [-1, 1] breaks Rolle, the tangent parallel to the chord, a root of f' between two roots of f, and two solved problems from the course, including the trap of keeping only the c that lies inside the interval.https://rankdeterminant.com/media/v/math-u7-ch6-c4.mp4?v=c41b8c9140-1dacf34952026-10-16yes https://rankdeterminant.com/v/math-u7-ch7-c1https://rankdeterminant.com/media/v/math-u7-ch7-c1.jpg?v=32147b0516-262cfdLocal Maxima and Minima | JEE Maths (English)Local maxima and minima for JEE Maths: what a critical point is, the first derivative test (the sign change of f'), the second derivative test and when it fails, the x cubed and mod x traps, and two solved examples, x^3 - 3x + 2 and x^4 - 4x^3, where one critical point is not an extremum.https://rankdeterminant.com/media/v/math-u7-ch7-c1.mp4?v=32147b0516-262cfd5222026-10-17yes https://rankdeterminant.com/v/math-u7-ch7-c2https://rankdeterminant.com/media/v/math-u7-ch7-c2.jpg?v=c767483882-52e6aaAbsolute Extrema on a Closed Interval | JEE Maths (English)How to find the absolute maximum and minimum of a continuous function on a closed interval [a, b]: list the critical points inside, check both endpoints, and compare the values. Two JEE-style solved examples, including the classic trap where the greatest value sits at an endpoint and not at the local maximum.https://rankdeterminant.com/media/v/math-u7-ch7-c2.mp4?v=c767483882-52e6aa4282026-10-17yes https://rankdeterminant.com/v/math-u7-ch7-c3https://rankdeterminant.com/media/v/math-u7-ch7-c3.jpg?v=35ff514015-7f748dOptimisation Problems | JEE Maths (English)How to solve optimisation problems with derivatives for JEE: name the quantity, use the constraint to get one variable and its allowed interval, then test the critical points and check the endpoints. Solved from the course: the rectangle of perimeter 40 with the largest area, and the largest open box from an 18 by 18 sheet, with the classic trap of a critical point at the end of the interval.https://rankdeterminant.com/media/v/math-u7-ch7-c3.mp4?v=35ff514015-7f748d4622026-10-17yes https://rankdeterminant.com/v/math-u7-ch7-c4https://rankdeterminant.com/media/v/math-u7-ch7-c4.jpg?v=c4e23338b8-cba46cExtrema of Expressions, and Counting Roots | JEE Maths (English)Quick tools for the greatest and least value of an expression in JEE Maths: the range of a sin x + b cos x, AM-GM minimum values and the equality check, the Mm < 0 test for three distinct real roots of a cubic, and f'(p) = 0 at given extrema. Two solved problems from the course, with the classic trap of adding the separate maximum values.https://rankdeterminant.com/media/v/math-u7-ch7-c4.mp4?v=c4e23338b8-cba46c5042026-10-16yes https://rankdeterminant.com/v/math-u7-ch8-c1https://rankdeterminant.com/media/v/math-u7-ch8-c1.jpg?v=e43cc375a2-676316Overview | JEE Maths (English)How to use the mixed JEE Main-pattern problems on limits, continuity and differentiability: what the questions mix (standard limits, expansions, the 1 to the power infinity form, greatest-integer limits, modulus and piecewise functions, derivatives, monotonicity, tangents, extreme values), and two solved problems: k for continuity of (e^kx - 1)/sin 2x, and the corners of max{|x|, x^2}.https://rankdeterminant.com/media/v/math-u7-ch8-c1.mp4?v=e43cc375a2-6763165062026-10-16yes https://rankdeterminant.com/v/math-u7-ch8-c2https://rankdeterminant.com/media/v/math-u7-ch8-c2.jpg?v=df8558ac87-b9fad7Mixed Problems: Set 1 | JEE Maths (English)Mixed JEE Main-pattern problems on limits, continuity and derivatives: name the type first, the standard limits sin u over u and (e^u - 1)/u, continuity at a point, logarithmic differentiation for a variable base and a variable power, and two solved problems: find k for continuity at zero, and the derivative of x^(sin x) at pi/2, with the classic traps.https://rankdeterminant.com/media/v/math-u7-ch8-c2.mp4?v=df8558ac87-b9fad74792026-10-16yes https://rankdeterminant.com/v/math-u7-ch8-c3https://rankdeterminant.com/media/v/math-u7-ch8-c3.jpg?v=2ce6d2bafe-839fc7Mixed Problems: Set 2 | JEE Maths (English)Set 2 of the mixed JEE Main problems on limits, continuity and differentiability. Two tools: differentiability at a point (left and right derivatives equal and finite; differentiable implies continuous, not the reverse) and the interval check for sin inverse of sin. Solved: is x|x| differentiable everywhere (yes, f'(x) = 2|x|), and the derivative of sin^-1(2x root(1 - x^2)) for 1/root 2 < x < 1, which is negative.https://rankdeterminant.com/media/v/math-u7-ch8-c3.mp4?v=2ce6d2bafe-839fc74882026-10-16yes https://rankdeterminant.com/v/math-u7-ch8-c4https://rankdeterminant.com/media/v/math-u7-ch8-c4.jpg?v=17242d7bf0-994d2bMixed Problems: Set 3 | JEE Maths (English)Four JEE Main pattern problems on limits, continuity and differentiability: c of the mean value theorem for e^x on [0,1], the tangent to y = e^x through the origin, the points where max{|x|, x^2} is not differentiable, and the 1 to the power infinity limit of ((1+tan x)/(1+sin x))^(cosec^3 x), with the traps students fall for.https://rankdeterminant.com/media/v/math-u7-ch8-c4.mp4?v=17242d7bf0-994d2b4772026-10-17yes https://rankdeterminant.com/v/math-u7-ch9-c1https://rankdeterminant.com/media/v/math-u7-ch9-c1.jpg?v=e52ebe3c7d-aa3dbfOverview | JEE Maths (English)How to use the Limits, Continuity and Differentiability unit problem bank: Part A as a 30-minute JEE Main test after Chapters 1 to 8, the hard JEE Advanced problems of Part B, the true-or-false checks of Part C (continuous vs differentiable, the f'(c)=0 trap), and two solved limits: sin 2x over e^(3x) - 1, and a limit found from f(1) and f'(1) alone.https://rankdeterminant.com/media/v/math-u7-ch9-c1.mp4?v=e52ebe3c7d-aa3dbf5242026-10-16yes https://rankdeterminant.com/v/math-u7-ch9-c2https://rankdeterminant.com/media/v/math-u7-ch9-c2.jpg?v=b2ab075cbf-9cd5f1Part A: JEE Main Level | JEE Maths (English)Part A of the limits, continuity and differentiability problem bank at JEE Main level. Two tools: the standard limits sin x/x, (e^x - 1)/x and (a^x - 1)/x = ln a with the same u on top and below, and rationalising a surd. Then two solved problems: the limit of sin 2x/(e^(3x) - 1) as x tends to 0 (2/3), and of (2^x - 1)/(sqrt(1 + x) - 1) (2 ln 2), with the traps students fall into.https://rankdeterminant.com/media/v/math-u7-ch9-c2.mp4?v=b2ab075cbf-9cd5f14902026-10-16yes https://rankdeterminant.com/v/math-u7-ch9-c4https://rankdeterminant.com/media/v/math-u7-ch9-c4.jpg?v=019f985586-373b02Part C: Concept Checks | JEE Maths (English)Quick true or false checks on limits, continuity and derivatives: is every continuous function differentiable, does differentiable imply continuous, does f'(c) = 0 force a maximum or minimum, is the greatest integer function continuous at 1.5, and does sin(1/x) have a limit at 0? One counterexample or a one-line reason for each, with the classic traps.https://rankdeterminant.com/media/v/math-u7-ch9-c4.mp4?v=019f985586-373b025112026-10-16yes https://rankdeterminant.com/v/math-u8-ch1-c1https://rankdeterminant.com/media/v/math-u8-ch1-c1.jpg?v=65fe11cd5a-9b1a33Antiderivatives and the Standard Integrals | JEE Maths (English)What an antiderivative is, why every indefinite integral needs plus C, and the full table of standard integrals: powers, one over x and the log modulus, exponentials, trigonometric, log and inverse trigonometric forms, linearity and the linear change ax+b. Two solved course problems: expand then integrate, and divide first to get tan inverse x.https://rankdeterminant.com/media/v/math-u8-ch1-c1.mp4?v=65fe11cd5a-9b1a335082026-10-16yes https://rankdeterminant.com/v/math-u8-ch1-c2https://rankdeterminant.com/media/v/math-u8-ch1-c2.jpg?v=c7f11d653c-377e13Integration by Substitution | JEE Maths (English)Integration by substitution for JEE: spot a function whose derivative already sits in the integral, the three ready forms f'/f, f' times f to the power n and f' over root f, the x squared plus or minus one over x^4 + kx^2 + 1 trick, the (x-a)^m (x-b)^n substitution, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/math-u8-ch1-c2.mp4?v=c7f11d653c-377e134772026-10-16yes https://rankdeterminant.com/v/math-u8-ch1-c3https://rankdeterminant.com/media/v/math-u8-ch1-c3.jpg?v=46246db302-287106Trigonometric Integrals | JEE Maths (English)How to integrate powers and products of sine and cosine: when to put t = cos x and when t = sin x, how to lower even powers with cos 2x, the product-to-sum formulas, powers of tan and sec, and the t = tan x trick when m + n is a negative even integer. Two solved examples from the course, with the classic wrong-substitution trap.https://rankdeterminant.com/media/v/math-u8-ch1-c3.mp4?v=46246db302-2871064792026-10-16yes https://rankdeterminant.com/v/math-u8-ch1-c4https://rankdeterminant.com/media/v/math-u8-ch1-c4.jpg?v=2abeafbe76-e8eb1cSpecial Standard Forms | JEE Maths (English)The special standard integrals for JEE Maths: dx over x² + a², x² − a² and a² − x², the square-root forms that give sin inverse and a log, the integrals of √(a² − x²) and √(x² ± a²), completing the square for a quadratic denominator, and splitting px + q as λ times the derivative plus μ. Two solved course examples with the classic sign traps.https://rankdeterminant.com/media/v/math-u8-ch1-c4.mp4?v=2abeafbe76-e8eb1c4772026-10-16yes https://rankdeterminant.com/v/math-u8-ch2-c1https://rankdeterminant.com/media/v/math-u8-ch2-c1.jpg?v=1f3ed22a4f-89ac6bIntegration by Parts | JEE Maths (English)Integration by parts for JEE: the formula, how to choose u with the ILATE rule, the v = 1 trick for ln x and inverse trig functions, the e^x [f(x) + f'(x)] result, the e^ax sin bx and e^ax cos bx formulas, and two solved examples from the course: the integrals of ln x and x ln x, and the integral of e^x sin x that comes back to itself.https://rankdeterminant.com/media/v/math-u8-ch2-c1.mp4?v=1f3ed22a4f-89ac6b5272026-10-16yes https://rankdeterminant.com/v/math-u8-ch2-c2https://rankdeterminant.com/media/v/math-u8-ch2-c2.jpg?v=4422986d38-af6cfbPartial Fractions | JEE Maths (English)Partial fractions for JEE Maths integration: when to divide first, the fractions for linear, repeated and irreducible quadratic factors, the quick cover-up rule for distinct linear factors, and the numerator trick for fractions in e^x and sin x. Two solved course examples with the classic traps, step by step.https://rankdeterminant.com/media/v/math-u8-ch2-c2.mp4?v=4422986d38-af6cfb5302026-10-16yes https://rankdeterminant.com/v/math-u8-ch2-c3https://rankdeterminant.com/media/v/math-u8-ch2-c3.jpg?v=e05564b0cd-487da6Rational Functions of sin x and cos x; Irrational Integrands | JEE Maths (English)Rational functions of sin x and cos x and integrands with roots for JEE Maths: the t = tan(x/2) substitution for a + b cos x, writing a sin x + b cos x as r sin(x + α), dividing by cos²x, numerator = A·den + B·den′, t² = ax + b, rationalising, and x = t^lcm for mixed roots. Two solved course examples: dx/(3 + 5 cos x) and dx/(√x + ∛x).https://rankdeterminant.com/media/v/math-u8-ch2-c3.mp4?v=e05564b0cd-487da65172026-10-16yes https://rankdeterminant.com/v/math-u8-ch2-c4https://rankdeterminant.com/media/v/math-u8-ch2-c4.jpg?v=140150d2f2-82a2c4Reduction Formulae | JEE Maths (English)Reduction formulae for JEE integral calculus: how to prove I_n + I_(n-2) = tan^(n-1) x/(n-1), the (ln x)^n formula by parts with v = 1, the sin^n x and 1/(x^2+a^2)^n formulas, and two solved examples from the course: the integral of tan^4 x and the integral of (ln x)^3, with the sign traps students fall into.https://rankdeterminant.com/media/v/math-u8-ch2-c4.mp4?v=140150d2f2-82a2c45412026-10-16yes https://rankdeterminant.com/v/math-u8-ch2-c5https://rankdeterminant.com/media/v/math-u8-ch2-c5.jpg?v=0033b03097-7ce70bHarder Indefinite Integrals | JEE Maths (English)Harder indefinite integrals for JEE Maths: rewrite the integrand until a function and its derivative appear. The e^x[f(x) + f′(x)] pattern, splitting the numerator, taking a power out of a bracket, multiplying and dividing by sin(a − b), spotting a hidden derivative, and two solved course examples: e^x(1 − x)²/(1 + x²)² and dx/(sin(x − a) sin(x − b)).https://rankdeterminant.com/media/v/math-u8-ch2-c5.mp4?v=0033b03097-7ce70b5162026-10-16yes https://rankdeterminant.com/v/math-u8-ch3-c1https://rankdeterminant.com/media/v/math-u8-ch3-c1.jpg?v=6ad09d2321-209cabThe Fundamental Theorem of Calculus | JEE Maths (English)The fundamental theorem of calculus for JEE: the definite integral as a limit of sums and as signed area, F(b) minus F(a), why the antiderivative must be continuous on the whole interval, four rules for the limits, and two solved examples from the course, including the integral of 1/(5 + 4 cos x) from 0 to 2π that is 2π/3, not 0.https://rankdeterminant.com/media/v/math-u8-ch3-c1.mp4?v=6ad09d2321-209cab5052026-10-16yes https://rankdeterminant.com/v/math-u8-ch3-c2https://rankdeterminant.com/media/v/math-u8-ch3-c2.jpg?v=f7cc5f9c4e-075bc9Substitution and Integration by Parts in Definite Integrals | JEE Maths (English)Substitution and integration by parts in definite integrals for JEE Maths: change the limits with the variable and never return to x, the definite by-parts formula with [uv] from a to b, the sign trap when you forget the new limits, and two solved course examples: x√(1 − x²) and x/(1 + x⁴) from 0 to 1, then (ln x)² from 1 to e and e^x sin x from 0 to π/2.https://rankdeterminant.com/media/v/math-u8-ch3-c2.mp4?v=f7cc5f9c4e-075bc94932026-10-16yes https://rankdeterminant.com/v/math-u8-ch3-c3https://rankdeterminant.com/media/v/math-u8-ch3-c3.jpg?v=9c91680f17-b9a3aeModulus, Greatest Integer and Piecewise Integrands | JEE Maths (English)Definite integrals of modulus, greatest integer, fractional part and max/min functions for JEE Maths: split the interval at the zeros of f, where g(x) crosses an integer, or where f = g. Why the integral of sin x from 0 to 2π is 0 but of |sin x| is 4, the fractional part rule, and two solved course examples: |x|, |x² − 1| and [x²] from 0 to 2.https://rankdeterminant.com/media/v/math-u8-ch3-c3.mp4?v=9c91680f17-b9a3ae4722026-10-16yes https://rankdeterminant.com/v/math-u8-ch4-c1https://rankdeterminant.com/media/v/math-u8-ch4-c1.jpg?v=b34c3d9868-362addThe King Property | JEE Maths (English)The King property of definite integrals for JEE Maths: why the integral from a to b of f(x) equals that of f(a+b−x), the 2I trick of adding the two forms, the (b−a)/2 result, the standard results for sinⁿx/(sinⁿx+cosⁿx), ln sin x and x f(sin x), and two solved course examples, including the classic trap of stopping at 2I.https://rankdeterminant.com/media/v/math-u8-ch4-c1.mp4?v=b34c3d9868-362add4842026-10-17yes https://rankdeterminant.com/v/math-u8-ch4-c2https://rankdeterminant.com/media/v/math-u8-ch4-c2.jpg?v=269b1e58fa-24ee1eEven, Odd and Periodic Functions | JEE Maths (English)Properties of definite integrals for JEE Maths: why an odd function integrates to 0 from −a to a and an even one gives twice the half, the 1 + k^g(x) trick that removes 2^x from the denominator, limits 0 to 2a, and periodic functions like |sin x|. Two solved course examples: x² + x³cos x from −1 to 1, and sin²x/(1 + 2^x) from −π/2 to π/2.https://rankdeterminant.com/media/v/math-u8-ch4-c2.mp4?v=269b1e58fa-24ee1e5022026-10-16yes https://rankdeterminant.com/v/math-u8-ch4-c3https://rankdeterminant.com/media/v/math-u8-ch4-c3.jpg?v=1c4a53a64d-c76e3eWallis' Formulae and Estimation | JEE Maths (English)Wallis' formula for the integral of sin^n x and cos^n x from 0 to π/2, the sin^m x cos^n x formula, and estimating a definite integral: m(b − a) ≤ ∫f ≤ M(b − a), comparison and the modulus rule. Two solved course examples: sin^6 x and cos^7 x, and proving 1 < ∫ e^(x²) dx from 0 to 1 < e − 1, with the odd-power trap.https://rankdeterminant.com/media/v/math-u8-ch4-c3.mp4?v=1c4a53a64d-c76e3e4982026-10-16yes https://rankdeterminant.com/v/math-u8-ch5-c1https://rankdeterminant.com/media/v/math-u8-ch5-c1.jpg?v=8562d489eb-59ef04Leibniz's Rule | JEE Maths (English)Leibniz's rule for JEE Maths: the derivative of an integral with variable limits, the fundamental theorem of calculus, the trap when x also sits inside the integrand, and 0/0 limits solved with L'Hôpital and Leibniz together. Two solved course examples: d/dx of the integral of sin t from 0 to x² and of ln t from x to x², and the limit of the integral of cos t² from 0 to x² over x sin x.https://rankdeterminant.com/media/v/math-u8-ch5-c1.mp4?v=8562d489eb-59ef044822026-10-16yes https://rankdeterminant.com/v/math-u8-ch5-c2https://rankdeterminant.com/media/v/math-u8-ch5-c2.jpg?v=e126bb7cc6-567b0fIntegral Equations and Differentiation under the Integral Sign | JEE Maths (English)How to solve integral equations: when x is a limit, differentiate and put x = a for the starting value; when both limits are constants, the integral is a number c, so f = g + c. Then differentiation under the integral sign with fixed limits, used to find the integral of (x³ − 1)/ln x from 0 to 1 = ln 4. Two solved course examples with the classic traps.https://rankdeterminant.com/media/v/math-u8-ch5-c2.mp4?v=e126bb7cc6-567b0f4622026-10-16yes https://rankdeterminant.com/v/math-u8-ch5-c3https://rankdeterminant.com/media/v/math-u8-ch5-c3.jpg?v=86b4940887-185a62Limits of Sums | JEE Maths (English)Limits of sums for JEE Maths: why (1/n) times the sum of f(r/n) tends to the integral of f from 0 to 1, the four-step method (take out 1/n, write terms in r/n, replace r/n by x and 1/n by dx, set the limits), the trap when r runs up to 2n, and products handled with logarithms. Solved course examples: the sum of n/(n²+r²) gives pi/4, and the limit of (n!/nⁿ)^(1/n) is 1/e.https://rankdeterminant.com/media/v/math-u8-ch5-c3.mp4?v=86b4940887-185a624542026-10-16yes https://rankdeterminant.com/v/math-u8-ch6-c1https://rankdeterminant.com/media/v/math-u8-ch6-c1.jpg?v=1a29967e29-cb878bArea under a Curve and between Curves | JEE Maths (English)How to find the area under a curve and the area between two curves: why the area is the integral of |f(x)|, splitting where the curve crosses the x-axis, upper minus lower with limits from the intersection points, horizontal strips for curves like x = y², the standard areas (ellipse πab, 16a²/3, 8a²/3), and two solved course examples with the classic traps.https://rankdeterminant.com/media/v/math-u8-ch6-c1.mp4?v=1a29967e29-cb878b5032026-10-16yes https://rankdeterminant.com/v/math-u8-ch6-c2https://rankdeterminant.com/media/v/math-u8-ch6-c2.jpg?v=497d8b258e-1cc54cCircles, Conics and Regions Given by Inequalities | JEE Maths (English)How to find the area of a region given by inequalities, and the area inside both a circle and a parabola: reading set notation, inside a circle, inside a parabola, finding the meeting points and rejecting the impossible one, splitting where the top edge changes, the integral of root a squared minus x squared, and two solved course examples with the classic traps.https://rankdeterminant.com/media/v/math-u8-ch6-c2.mp4?v=497d8b258e-1cc54c5052026-10-16yes https://rankdeterminant.com/v/math-u8-ch7-c1https://rankdeterminant.com/media/v/math-u8-ch7-c1.jpg?v=563e8e52ca-8d0b39Overview | JEE Maths (English)How to handle mixed JEE Main-pattern integral calculus problems: indefinite integrals and the constant C, the fundamental theorem, the King property, even and odd functions, Leibniz's rule, limits of sums and area that is never negative, with two solved problems: the integral of ln tan x from 0 to pi/2, and dx/((1+x^2)(1+x^2026)) from 0 to infinity.https://rankdeterminant.com/media/v/math-u8-ch7-c1.mp4?v=563e8e52ca-8d0b395002026-10-16yes https://rankdeterminant.com/v/math-u8-ch7-c2https://rankdeterminant.com/media/v/math-u8-ch7-c2.jpg?v=07a908ef6a-5008ffMixed Problems: Set 1 | JEE Maths (English)Two tools for JEE Main integral calculus problems: split the interval for modulus and greatest-integer integrands, and the King property (replace x by a+b−x). Then two solved problems: the integral of |x−1| from −2 to 2 (answer 5) and of [√x] from 0 to 4 (answer 3), and the integrals of ln tan x and sin 2x ln tan x from 0 to π/2, both 0, with the classic traps.https://rankdeterminant.com/media/v/math-u8-ch7-c2.mp4?v=07a908ef6a-5008ff4742026-10-16yes https://rankdeterminant.com/v/math-u8-ch7-c3https://rankdeterminant.com/media/v/math-u8-ch7-c3.jpg?v=65d7441bdd-f7121dMixed Problems: Set 2 | JEE Maths (English)Two tools for JEE Main definite integral questions: the King property, replacing x by a + b - x and adding the two forms, and the substitution t = tan x/2 with new limits and partial fractions. Then two solved problems: the integral of x cos^2 x from 0 to pi (answer pi^2/4) and the integral of 1/(4 + 5 sin x) from 0 to pi/2 (answer (1/3) ln 2), with the classic traps.https://rankdeterminant.com/media/v/math-u8-ch7-c3.mp4?v=65d7441bdd-f7121d4802026-10-16yes https://rankdeterminant.com/v/math-u8-ch7-c4https://rankdeterminant.com/media/v/math-u8-ch7-c4.jpg?v=7de4726edd-7771d2Mixed Problems: Set 3 | JEE Maths (English)Two JEE Main pattern problems on integral calculus: the total area between y = x(x-1)(x-2) and the x-axis (why the integral from 0 to 2 is zero but the area is 1/2), and the integral from 0 to pi of x/(cos^2 x + 4 sin^2 x) = pi^2/4 using the King property, the x f(sin x) result, halving the interval and t = tan x, with the classic traps.https://rankdeterminant.com/media/v/math-u8-ch7-c4.mp4?v=7de4726edd-7771d24672026-10-16yes https://rankdeterminant.com/v/math-u8-ch8-c1https://rankdeterminant.com/media/v/math-u8-ch8-c1.jpg?v=df4c2ea0d9-30caf4Overview | JEE Maths (English)How to use the integral calculus problem bank: Part A as a 30-minute JEE Main test, Part B longer JEE Advanced problems that join two ideas, Part C true-or-false concept checks and their conditions, with two solved problems: the integral of 1/(1+e^sin x) from 0 to 2pi, and the integral of 1/(1+f(x)) from -1 to 1 when f(x)f(-x)=1.https://rankdeterminant.com/media/v/math-u8-ch8-c1.mp4?v=df4c2ea0d9-30caf45252026-10-16yes https://rankdeterminant.com/v/math-u8-ch8-c2https://rankdeterminant.com/media/v/math-u8-ch8-c2.jpg?v=7fcf470021-0b80ddPart A: JEE Main Level | JEE Maths (English)Part A of the integral calculus problem bank at JEE Main level: name the type of a mixed problem first, the King property with the integral's own limits, a limit of a sum written as a definite integral, and two solved problems: the integral of 1/(1+e^sin x) from 0 to 2 pi, and the limit of 1/(n+1)+...+1/(3n), with the classic traps.https://rankdeterminant.com/media/v/math-u8-ch8-c2.mp4?v=7fcf470021-0b80dd4922026-10-16yes https://rankdeterminant.com/v/math-u8-ch8-c4https://rankdeterminant.com/media/v/math-u8-ch8-c4.jpg?v=7cb46dd658-8a6ccbPart C: Concept Checks | JEE Maths (English)Four true or false concept checks on definite integrals for JEE Maths: why the integral of 1/x from −1 to 1 is not 0 even though 1/x is odd, why the integral from 0 to x of an odd function is even, why a non-negative integral does not make f non-negative, and when the integral of a periodic function is itself periodic.https://rankdeterminant.com/media/v/math-u8-ch8-c4.mp4?v=7cb46dd658-8a6ccb4852026-10-16yes https://rankdeterminant.com/v/math-u9-ch1-c1https://rankdeterminant.com/media/v/math-u9-ch1-c1.jpg?v=9837f69945-7ebd5aOrder and Degree | JEE Maths (English)How to find the order and degree of a differential equation: the order is the highest derivative present, the degree is its power once the equation is a polynomial in the derivatives. Clear radicals, fractional powers and denominators first, see why sin(dy/dx) has no degree, and work through two course problems with the classic square-root trap.https://rankdeterminant.com/media/v/math-u9-ch1-c1.mp4?v=9837f69945-7ebd5a4602026-10-17yes https://rankdeterminant.com/v/math-u9-ch1-c2https://rankdeterminant.com/media/v/math-u9-ch1-c2.jpg?v=1b7c6a27dd-2ac6e0Forming the Differential Equation of a Family | JEE Maths (English)How to form the differential equation of a family of curves for JEE Maths: n essential arbitrary constants give an equation of order n, so differentiate n times and eliminate the constants. The family y = Cx^2, the y = ae^(x+b) trap with only one essential constant, the order for all circles, and two solved course examples step by step.https://rankdeterminant.com/media/v/math-u9-ch1-c2.mp4?v=1b7c6a27dd-2ac6e05132026-10-17yes https://rankdeterminant.com/v/math-u9-ch1-c3https://rankdeterminant.com/media/v/math-u9-ch1-c3.jpg?v=fb73165d96-0f4729Solutions of a Differential Equation | JEE Maths (English)What a solution of a differential equation is: the general solution of an nth order equation has n independent arbitrary constants, initial conditions such as y(x0) = y0 fix a particular solution, and some equations also have a singular solution. Two solved examples: the particular solution of y' = 2x with y(1) = 3, and the equation y = xy' + y'^2, whose solution y = -x^2/4 is singular, not particular.https://rankdeterminant.com/media/v/math-u9-ch1-c3.mp4?v=fb73165d96-0f47294882026-10-17yes https://rankdeterminant.com/v/math-u9-ch2-c1https://rankdeterminant.com/media/v/math-u9-ch2-c1.jpg?v=c850f4f72b-fdc9a7Separating the Variables | JEE Maths (English)How to solve a differential equation dy/dx = g(x)h(y) by separating the variables: one constant only, fixing it at once from an initial condition, and the trap of lost constant solutions when you divide by h(y). Solved examples: y' = xy, (1+x^2)dy = (1+y^2)dx with y(0) = 1, and all solutions of y' = y^2 - 1.https://rankdeterminant.com/media/v/math-u9-ch2-c1.mp4?v=c850f4f72b-fdc9a75022026-10-17yes https://rankdeterminant.com/v/math-u9-ch2-c2https://rankdeterminant.com/media/v/math-u9-ch2-c2.jpg?v=517986410d-25c81dEquations Reducible to Separable Form | JEE Maths (English)How to solve dy/dx = f(ax + by + c) when the variables will not separate: put t = ax + by + c, so dt/dx = a + b f(t), which is separable. The common trap of dropping the a, spotting the substitution, and two solved examples: y' = (x + y)^2 and y' = root of (y - x), with a second substitution t = s^2.https://rankdeterminant.com/media/v/math-u9-ch2-c2.mp4?v=517986410d-25c81d4702026-10-17yes https://rankdeterminant.com/v/math-u9-ch2-c3https://rankdeterminant.com/media/v/math-u9-ch2-c3.jpg?v=06db55b57f-bcab96Growth, Decay and Other Rate Problems | JEE Maths (English)How to solve growth, decay and cooling rate problems with differential equations: dN/dt = kN gives N = N0 e^(kt), doubling time ln2/k and half-life ln2/|k|, Newton's law of cooling, linear drift about an equilibrium, and curves from a slope rule. Solved: when a population that doubles in 50 years triples, and when a body cooling from 80°C in a 20°C room reaches 40°C.https://rankdeterminant.com/media/v/math-u9-ch2-c3.mp4?v=06db55b57f-bcab964752026-10-17yes https://rankdeterminant.com/v/math-u9-ch3-c1https://rankdeterminant.com/media/v/math-u9-ch3-c1.jpg?v=8f2b70f554-0d945aThe Substitution y=vx | JEE Maths (English)How to solve a homogeneous differential equation dy/dx = f(x,y)/g(x,y) with the substitution y = vx: what a homogeneous function of degree n is, why dy/dx = v + x dv/dx, when to put x = vy instead, the constant-term trap, and two solved examples: x dy/dx = x + y, and 2xyy' = x^2 + y^2 with y(1) = 2.https://rankdeterminant.com/media/v/math-u9-ch3-c1.mp4?v=8f2b70f554-0d945a5082026-10-17yes https://rankdeterminant.com/v/math-u9-ch3-c2https://rankdeterminant.com/media/v/math-u9-ch3-c2.jpg?v=19b7f88afc-24fe8aEquations Reducible to Homogeneous Form | JEE Maths (English)How to solve dy/dx = (ax + by + c)/(a'x + b'y + c'): shift the origin to the point where the two lines meet so the equation becomes homogeneous, put t = ax + by when the lines are parallel, and spot the exact special case b = -a'. The common trap of stopping in X and Y, and two solved examples: dy/dx = (x + y + 1)/(2x + 2y + 3) and dy/dx = (x + 2y - 3)/(2x + y - 3).https://rankdeterminant.com/media/v/math-u9-ch3-c2.mp4?v=19b7f88afc-24fe8a5272026-10-17yes https://rankdeterminant.com/v/math-u9-ch3-c3https://rankdeterminant.com/media/v/math-u9-ch3-c3.jpg?v=00ee5d16a5-ea3954JEE Advanced Questions: Homogeneous Equations | JEE Maths (English)A JEE Advanced 2016 differential equation that hides a homogeneous equation: factorise the bracket, shift the origin with X = x + 2, put y = vX, separate the variables and find the solution curve through (1, 3). Then use increasing functions to decide where the curve meets y = x + 2, y = (x + 2)^2 and y = (x + 3)^2, and whether it meets the line x = 1 again.https://rankdeterminant.com/media/v/math-u9-ch3-c3.mp4?v=00ee5d16a5-ea39545332026-10-17yes https://rankdeterminant.com/v/math-u9-ch4-c1https://rankdeterminant.com/media/v/math-u9-ch4-c1.jpg?v=b058604317-95f111The Integrating Factor | JEE Maths (English)How to solve the linear differential equation dy/dx + P(x)y = Q(x): write it in standard form, find the integrating factor e^(∫P dx), and use y·I.F. = ∫Q·I.F. dx + C. The integrating factors worth knowing by heart, equations linear in x, the classic trap of adding C after dividing, and two solved examples: y' + 2y/x = x² and y' + 2y = 4x with y(0) = 1.https://rankdeterminant.com/media/v/math-u9-ch4-c1.mp4?v=b058604317-95f1114922026-10-17yes https://rankdeterminant.com/v/math-u9-ch4-c2https://rankdeterminant.com/media/v/math-u9-ch4-c2.jpg?v=b90357f24f-9c57ceBernoulli Equations and Other Substitutions | JEE Maths (English)Bernoulli differential equation made simple: divide by y to the power n, put v equals y to the power one minus n, and solve the linear equation with the integrating factor. Also the t equals f of y substitution (cos y, e to the power y, tan y, log y), the classic one minus n and minus sign traps, and two JEE-style solved examples.https://rankdeterminant.com/media/v/math-u9-ch4-c2.mp4?v=b90357f24f-9c57ce4872026-10-17yes https://rankdeterminant.com/v/math-u9-ch5-c1https://rankdeterminant.com/media/v/math-u9-ch5-c1.jpg?v=566d2eb558-bddcafExact Differentials | JEE Maths (English)Exact differential equations made simple: spot the integrable combinations x dy + y dx = d(xy), d(y/x), d(x/y), d(tan inverse y/x), d ln(xy) and d of the root of x squared plus y squared, test M dx + N dy = 0 with dM/dy = dN/dx, build F(x, y) = C without adding a term twice, and two solved examples.https://rankdeterminant.com/media/v/math-u9-ch5-c1.mp4?v=566d2eb558-bddcaf4852026-10-17yes https://rankdeterminant.com/v/math-u9-ch5-c2https://rankdeterminant.com/media/v/math-u9-ch5-c2.jpg?v=17425987c9-2f1314Geometric Applications | JEE Maths (English)Geometric applications of differential equations: where the tangent meets the axes, the subtangent y/p and the subnormal yp, when the normal passes through the origin, and orthogonal trajectories by solving y' = -1/f(x, y). Two solved examples: the curves with a constant subtangent, and the orthogonal trajectories of the parabolas y = Cx^2.https://rankdeterminant.com/media/v/math-u9-ch5-c2.mp4?v=17425987c9-2f13144792026-10-17yes https://rankdeterminant.com/v/math-u9-ch5-c3https://rankdeterminant.com/media/v/math-u9-ch5-c3.jpg?v=f4cd0b3772-918591Integral Equations, Functional Equations and Inequalities | JEE Maths (English)Turn integral equations, functional equations and inequalities into differential equations: differentiate an equation with the integral from a to x, put x = a in the original equation for the initial condition, differentiate f(x+y) = f(x)f(y) in y and put y = 0, and multiply f' - kf > 0 by e^(-kx). Two solved examples with the common traps.https://rankdeterminant.com/media/v/math-u9-ch5-c3.mp4?v=f4cd0b3772-9185915072026-10-17yes https://rankdeterminant.com/v/math-u9-ch5-c4https://rankdeterminant.com/media/v/math-u9-ch5-c4.jpg?v=0db232ce9b-83df44JEE Advanced Questions: Inequalities and Functional Equations | JEE Maths (English)Two JEE Advanced differential equation questions solved step by step: the 2017 inequality f'(x) > 2f(x) with f(0) = 1, cracked with the integrating factor e^(-2x), and the 2018 equation f'(x) = 2 - f(x)/x, solved as a linear equation to get f = x + C/x and settle all four options. Includes a quick integrating factor recap and the classic traps.https://rankdeterminant.com/media/v/math-u9-ch5-c4.mp4?v=0db232ce9b-83df445002026-10-17yes https://rankdeterminant.com/v/math-u9-ch6-c1https://rankdeterminant.com/media/v/math-u9-ch6-c1.jpg?v=2eec12b7b2-5562edOverview | JEE Maths (English)How JEE Main questions on differential equations are usually built: an initial-value problem that is separable, homogeneous or linear, followed by a value, an area, a limit or an extremum. Learn to spot the type, avoid three classic traps, and follow two solved problems, including a limit as x tends to infinity with the integrating factor.https://rankdeterminant.com/media/v/math-u9-ch6-c1.mp4?v=2eec12b7b2-5562ed4992026-10-17yes https://rankdeterminant.com/v/math-u9-ch6-c2https://rankdeterminant.com/media/v/math-u9-ch6-c2.jpg?v=a2ac603c71-325dceMixed Problems: Set 1 | JEE Maths (English)Two tools for JEE Main differential equation problems: separating the variables (and what dividing assumes) and the integrating factor of a linear equation. Then two solved initial-value problems: y' = 3x²e^(−y) with y(0) = 0 gives y(2) = ln 9, and y' = y/x + x with y(1) = 2 gives y(2) = 6, with the classic traps about the constant C.https://rankdeterminant.com/media/v/math-u9-ch6-c2.mp4?v=a2ac603c71-325dce4912026-10-17yes https://rankdeterminant.com/v/math-u9-ch6-c3https://rankdeterminant.com/media/v/math-u9-ch6-c3.jpg?v=5921fa0598-6107f5Mixed Problems: Set 2 | JEE Maths (English)Two JEE Main-pattern differential equation problems solved step by step: the linear equation y' + y cot x = 2 cos x with integrating factor sin x, and the Bernoulli equation y' + y = y^2 made linear with v = 1/y. Covers the standard form, adding C before dividing by the I.F., the sign trap in v', the lost solution y = 0, and the spot-the-type pattern of mixed problems.https://rankdeterminant.com/media/v/math-u9-ch6-c3.mp4?v=5921fa0598-6107f54912026-10-17yes https://rankdeterminant.com/v/math-u9-ch6-c4https://rankdeterminant.com/media/v/math-u9-ch6-c4.jpg?v=93d73f9212-340862Mixed Problems: Set 3 | JEE Maths (English)Mixed JEE Main-pattern differential equation problems, Set 3: spot the tool (differentiate an area condition, substitute t = x + y, orthogonal trajectories), the decay model dN/dt = kN with half-life, lost solutions when separating, and two solved problems: a salt tank whose salt never fully runs out, and a solution that blows up at x = 2.https://rankdeterminant.com/media/v/math-u9-ch6-c4.mp4?v=93d73f9212-3408625022026-10-17yes https://rankdeterminant.com/v/math-u9-ch7-c1https://rankdeterminant.com/media/v/math-u9-ch7-c1.jpg?v=2871217b98-d04f46Overview | JEE Maths (English)How to use the differential equations problem bank: Part A as a 30-minute JEE Main test after Chapters 1 to 6, naming the type first (separable, linear, homogeneous), a Part C check on the general solution, and two solved problems: the order and degree of y = x dy/dx + a/(dy/dx), and the logistic equation dP/dt = P(1 - P/1000) with P(0) = 100.https://rankdeterminant.com/media/v/math-u9-ch7-c1.mp4?v=2871217b98-d04f465132026-10-17yes https://rankdeterminant.com/v/math-u9-ch7-c2https://rankdeterminant.com/media/v/math-u9-ch7-c2.jpg?v=60b096a248-7cbdcePart A: JEE Main Level | JEE Maths (English)Part A of the differential equations problem bank at JEE Main level: name the type of each mixed problem first, find the degree only after clearing a derivative from a denominator, solve a homogeneous equation with y = vx, and two solved problems with the classic traps: degree 1 or degree 2, and the constant that must be multiplied too.https://rankdeterminant.com/media/v/math-u9-ch7-c2.mp4?v=60b096a248-7cbdce4752026-10-17yes https://rankdeterminant.com/v/math-u9-ch7-c4https://rankdeterminant.com/media/v/math-u9-ch7-c4.jpg?v=cb2b6167e5-4c0ea3Part C: Concept Checks | JEE Maths (English)Five quick concept checks on differential equations for JEE Maths: why a first-order equation has exactly one arbitrary constant, the order of the equation of all circles of fixed radius, whether y' = (x^2 + y^2)/(xy) is linear, homogeneous or Bernoulli, why y = x^2 is a solution but not the general solution of xy' = 2y, and why two different solutions of a linear equation never cross.https://rankdeterminant.com/media/v/math-u9-ch7-c4.mp4?v=cb2b6167e5-4c0ea35112026-10-17yes https://rankdeterminant.com/v/phy-u1-ch1-c1https://rankdeterminant.com/media/v/phy-u1-ch1-c1.jpg?v=563c1f95b0Physical Quantities, Units and Systems of Units | JEE Physics (English)What a physical quantity is, why a bigger unit gives a smaller number (n1u1 = n2u2), base and derived quantities, the CGS, FPS, MKS and SI systems, the seven SI base units, the constants that define them since 2019, the JEE traps on charge, heat and weight, and two solved conversions: metre to kilometre, newton to dyne and joule to erg.https://rankdeterminant.com/media/v/phy-u1-ch1-c1.mp4?v=563c1f95b05332026-10-13yes https://rankdeterminant.com/v/phy-u1-ch1-c2https://rankdeterminant.com/media/v/phy-u1-ch1-c2.jpg?v=5e8b132f9ePlane Angle and Solid Angle | JEE Physics (English)What a radian and a steradian really are: plane angle as arc over radius, solid angle as area over r squared, 2π for a circle and 4π for a sphere, degree to radian conversion, minutes and seconds, the cone formula, the small-angle trick, the no-dimensions-but-still-a-unit trap, and two solved JEE-style problems, including the solid angle of the full Moon.https://rankdeterminant.com/media/v/phy-u1-ch1-c2.mp4?v=5e8b132f9e5112026-10-13yes https://rankdeterminant.com/v/phy-u1-ch1-c3https://rankdeterminant.com/media/v/phy-u1-ch1-c3.jpg?v=da7f7143e2Prefixes, Practical Units and Unit Conversion | JEE Physics (English)SI prefixes from atto to exa, the rules for writing units, practical units like the angstrom, fermi, light year, parsec, electron volt and kilowatt hour, the chain-conversion trick for km/h to m/s, and two JEE-style solved conversion problems with the classic traps.https://rankdeterminant.com/media/v/phy-u1-ch1-c3.mp4?v=da7f7143e25372026-10-13yes https://rankdeterminant.com/v/phy-u1-ch1-c4https://rankdeterminant.com/media/v/phy-u1-ch1-c4.jpg?v=468a4fd5f1Measuring Very Large and Very Small Distances | JEE Physics (English)How to measure very large and very small distances for JEE Physics: the parallax method and its radian trap, angular size, RADAR, SONAR and laser echo ranging with D = vt/2, vernier and screw gauge limits, the oleic acid oil-film method and molecular size from density, with two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u1-ch1-c4.mp4?v=468a4fd5f15042026-10-13yes https://rankdeterminant.com/v/phy-u1-ch1-c5https://rankdeterminant.com/media/v/phy-u1-ch1-c5.jpg?v=44146a394eOrder of Magnitude and Estimation | JEE Physics (English)How to find the order of magnitude of any number: write it as a times ten to the power b, the NCERT rule (a up to 5 keeps b, a above 5 gives b + 1), the root-ten 3.16 convention, the typical scales of length, mass and time, the negative-power trap, and two solved JEE-style problems, including the heartbeats in a lifetime.https://rankdeterminant.com/media/v/phy-u1-ch1-c5.mp4?v=44146a394e5012026-10-13yes https://rankdeterminant.com/v/phy-u1-ch2-c1https://rankdeterminant.com/media/v/phy-u1-ch2-c1.jpg?v=6a1fe6aa0dDimensions and Dimensional Formulae in Mechanics | JEE Physics (English)How to find the dimensional formula of any quantity in mechanics: the three base quantities M, L and T, what dimensions really are, the defining-equation method, why numbers and angles have no dimensions, the topper's build-from-force trick, pairs with the same dimensions, and two solved JEE problems on work, power, pressure, Young's modulus and compressibility.https://rankdeterminant.com/media/v/phy-u1-ch2-c1.mp4?v=6a1fe6aa0d5222026-10-13yes https://rankdeterminant.com/v/phy-u1-ch2-c2https://rankdeterminant.com/media/v/phy-u1-ch2-c2.jpg?v=54735a69b6Dimensions in Heat, Waves and Modern Physics | JEE Physics (English)Dimensional formulae outside mechanics for JEE Physics: specific heat, latent heat, heat capacity, molar heat capacity, coefficient of expansion, thermal conductivity, gas constant R, Boltzmann, Stefan and Wien constants, wave intensity, wave number, Rydberg and Planck constants, with the classic letter traps and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u1-ch2-c2.mp4?v=54735a69b65012026-10-13yes https://rankdeterminant.com/v/phy-u1-ch2-c3https://rankdeterminant.com/media/v/phy-u1-ch2-c3.jpg?v=829257d0cbElectric and Magnetic Quantities | JEE Physics (English)Dimensional formulae of charge, potential, resistance, capacitance, inductance, electric field, magnetic field, flux and magnetic moment, all built from two anchors. With the energy shortcut, the T to the minus three trap, the letter A trap, and two JEE-style solved problems: capacitance and inductance from energy, and why RC, L/R and root LC are times.https://rankdeterminant.com/media/v/phy-u1-ch2-c3.mp4?v=829257d0cb4732026-10-13yes https://rankdeterminant.com/v/phy-u1-ch2-c4https://rankdeterminant.com/media/v/phy-u1-ch2-c4.jpg?v=0185d8f05aSame Dimensions and Dimensionless Quantities | JEE Physics (English)Which physical quantities share the same dimensions, and which are dimensionless: work, energy and torque, pressure and energy density, Planck's constant and angular momentum, RC and L/R as time, why torque is never in joule, the sin x rule, and two JEE-style solved problems.https://rankdeterminant.com/media/v/phy-u1-ch2-c4.mp4?v=0185d8f05a5312026-10-13yes https://rankdeterminant.com/v/phy-u1-ch3-c1https://rankdeterminant.com/media/v/phy-u1-ch3-c1.jpg?v=46af9ef05b-93ac21The Principle of Homogeneity: Checking Equations | JEE Physics (English)How to check any physics equation with the principle of homogeneity: every term must have the same dimensions. See what the dimension test can and cannot tell you, why pure numbers like 1/2 and 2π slip through, and solve two JEE-style problems: the period of a pendulum, and checking and correcting a planet's orbit formula.https://rankdeterminant.com/media/v/phy-u1-ch3-c1.mp4?v=46af9ef05b-93ac214592026-10-16yes https://rankdeterminant.com/v/phy-u1-ch3-c2https://rankdeterminant.com/media/v/phy-u1-ch3-c2.jpg?v=77329151fd-398e24Dimensions of Constants Inside Formulae | JEE Physics (English)How to find the dimensions of constants like a, b, alpha and beta inside any physics formula for JEE: why the argument and value of sin, cos, e and ln are dimensionless, why only like quantities can be added or subtracted, the inside-out method, and two solved JEE-style problems, including the classic pressure P = (a - t^2)/(bx) question.https://rankdeterminant.com/media/v/phy-u1-ch3-c2.mp4?v=77329151fd-398e245172026-10-15yes https://rankdeterminant.com/v/phy-u1-ch3-c3https://rankdeterminant.com/media/v/phy-u1-ch3-c3.jpg?v=414cce591aConverting Units with Dimensions | JEE Physics (English)How to change a physical quantity from one system of units to another with its dimensional formula: why n1u1 = n2u2, the conversion formula n2 = n1(M1/M2)^a (L1/L2)^b (T1/T2)^c, the old-over-new and negative-power traps, and two solved JEE problems: newton to dyne and joule to erg, then one joule in a system of 10 kg, 1 km and 1 minute.https://rankdeterminant.com/media/v/phy-u1-ch3-c3.mp4?v=414cce591a4952026-10-13yes https://rankdeterminant.com/v/phy-u1-ch3-c4https://rankdeterminant.com/media/v/phy-u1-ch3-c4.jpg?v=9f8cd48af9Deriving Relations by Dimensional Analysis | JEE Physics (English)How to derive a physical relation from dimensions alone: write the quantity as a pure number times a product of powers, equate the powers of M, L and T, and solve. Why at most three unknown powers can be found, why the number k never comes from dimensions, and two solved JEE problems: the period of a simple pendulum and Poiseuille's formula.https://rankdeterminant.com/media/v/phy-u1-ch3-c4.mp4?v=9f8cd48af94952026-10-13yes https://rankdeterminant.com/v/phy-u1-ch3-c5https://rankdeterminant.com/media/v/phy-u1-ch3-c5.jpg?v=e0d8f94695Changing the Base Quantities | JEE Physics (English)How to write the dimensions of mass, length and energy when force, velocity and time, or c, h and G, are the base quantities: what independent base quantities means, the substitution method, the match-the-powers method, a quick check by putting M, L, T back, and two solved JEE problems ending with the Planck length.https://rankdeterminant.com/media/v/phy-u1-ch3-c5.mp4?v=e0d8f946954922026-10-13yes https://rankdeterminant.com/v/phy-u1-ch3-c6https://rankdeterminant.com/media/v/phy-u1-ch3-c6.jpg?v=0a09084afcLimitations of Dimensional Analysis | JEE Physics (English)What dimensional analysis cannot do, explained for JEE: why it cannot find pure numbers like 1/2 or 2π, cannot derive a sum like s = ut + ½at² or a sin, log or e^x relation, fails with too many variables, cannot tell torque from energy, and misses a pendulum's amplitude. Two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u1-ch3-c6.mp4?v=0a09084afc4712026-10-13yes https://rankdeterminant.com/v/phy-u1-ch4-c1https://rankdeterminant.com/media/v/phy-u1-ch4-c1.jpg?v=af1075ee5eAccuracy and Precision | JEE Physics (English)Accuracy and precision are not the same thing. Learn accuracy as closeness to the true value, precision as the resolution of the instrument and the spread of repeated readings, the four-target picture, why a precise instrument can still be wrong, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u1-ch4-c1.mp4?v=af1075ee5e5182026-10-13yes https://rankdeterminant.com/v/phy-u1-ch4-c2https://rankdeterminant.com/media/v/phy-u1-ch4-c2.jpg?v=72b26faab3-11306cSignificant Figures and the Rules for Counting Them | JEE Physics (English)How to count significant figures for JEE Physics: what a significant figure is, the seven rules for non-zero digits, sandwiched, leading and trailing zeros, why 4500 is ambiguous and how scientific notation fixes it, exact numbers, the unit-change trap, a topper's counting trick and two solved problems.https://rankdeterminant.com/media/v/phy-u1-ch4-c2.mp4?v=72b26faab3-11306c5432026-10-16yes https://rankdeterminant.com/v/phy-u1-ch4-c3https://rankdeterminant.com/media/v/phy-u1-ch4-c3.jpg?v=510e726a23Rounding Off | JEE Physics (English)How to round off a measured value to the required significant figures for JEE Physics: the three rounding rules, what to do when the dropped digit is exactly 5 (make the last kept digit even), why that rule avoids a bias, the 5-followed-by-non-zero trap, and two solved problems, including 1.995 rounded to 2.00.https://rankdeterminant.com/media/v/phy-u1-ch4-c3.mp4?v=510e726a234802026-10-13yes https://rankdeterminant.com/v/phy-u1-ch4-c4https://rankdeterminant.com/media/v/phy-u1-ch4-c4.jpg?v=89fa18752b-85ab85Arithmetic with Significant Figures | JEE Physics (English)How many digits to keep after you multiply, divide, add or subtract measured values in JEE Physics: the least significant figures rule, the least decimal places rule, powers and roots, rounding only the final answer, the nearly equal subtraction trap, and two solved problems including the classic box and gold pieces question.https://rankdeterminant.com/media/v/phy-u1-ch4-c4.mp4?v=89fa18752b-85ab855382026-10-16yes https://rankdeterminant.com/v/phy-u1-ch4-c5https://rankdeterminant.com/media/v/phy-u1-ch4-c5.jpg?v=dcb9d2cf86Scientific Notation and Reporting a Result | JEE Physics (English)How to write any measured value in scientific notation, why the digits in front are exactly the significant figures, and how to report a result with its error: the error to one or at most two significant figures, the value to the same decimal place. With the counting-zeros trap and two solved JEE problems on the mass and the radius of the Earth.https://rankdeterminant.com/media/v/phy-u1-ch4-c5.mp4?v=dcb9d2cf865012026-10-13yes https://rankdeterminant.com/v/phy-u1-ch5-c1https://rankdeterminant.com/media/v/phy-u1-ch5-c1.jpg?v=6d64896d09Types of Errors | JEE Physics (English)Systematic, random, least-count and gross errors, taught like a live JEE class: where each error comes from, why averaging many readings reduces random errors but not systematic ones, the topper's one-question trick to classify any error, and two solved problems, including the least-count error in a pendulum's period.https://rankdeterminant.com/media/v/phy-u1-ch5-c1.mp4?v=6d64896d094882026-10-13yes https://rankdeterminant.com/v/phy-u1-ch5-c2https://rankdeterminant.com/media/v/phy-u1-ch5-c2.jpg?v=9cbcfb8462Absolute, Mean Absolute, Relative and Percentage Errors | JEE Physics (English)How to find the best value of repeated readings, the absolute error of each reading, the mean absolute error, the relative error and the percentage error, why the same error is worse on a short length, the least count rule, and two solved JEE problems: pendulum periods and six weighings of a body.https://rankdeterminant.com/media/v/phy-u1-ch5-c2.mp4?v=9cbcfb84624592026-10-13yes https://rankdeterminant.com/v/phy-u1-ch5-c3https://rankdeterminant.com/media/v/phy-u1-ch5-c3.jpg?v=c5cb2ea570Errors in Sums and Differences | JEE Physics (English)How errors combine when you add or subtract measured quantities in JEE Physics: why the maximum absolute errors always add, even for a difference, the trap of subtracting nearly equal numbers that turns 1% readings into a 50% error, a topper's two-column method, and two solved problems on resistors in series and a temperature difference.https://rankdeterminant.com/media/v/phy-u1-ch5-c3.mp4?v=c5cb2ea5704522026-10-13yes https://rankdeterminant.com/v/phy-u1-ch5-c4https://rankdeterminant.com/media/v/phy-u1-ch5-c4.jpg?v=3d45667db8Errors in Products, Quotients and Powers | JEE Physics (English)How errors combine when you multiply, divide or raise to a power, for JEE Physics: why relative errors add even for a quotient, the power rule, why constants like pi carry no error, the topper's take-the-log trick, and two solved problems, including how a 1% error in a cube's side becomes a 3% error in its volume.https://rankdeterminant.com/media/v/phy-u1-ch5-c4.mp4?v=3d45667db84202026-10-13yes https://rankdeterminant.com/v/phy-u1-ch5-c5https://rankdeterminant.com/media/v/phy-u1-ch5-c5.jpg?v=cbf67c213dErrors in General Formulae | JEE Physics (English)How to find the maximum error in any formula for JEE Physics: differentiate, replace d by the errors and add the absolute values. Why the product rule fails for parallel resistors, the reciprocal-form trick that also works for the mirror formula, and two solved problems including the classic a squared minus b squared trap.https://rankdeterminant.com/media/v/phy-u1-ch5-c5.mp4?v=cbf67c213d5302026-10-13yes https://rankdeterminant.com/v/phy-u1-ch5-c6https://rankdeterminant.com/media/v/phy-u1-ch5-c6.jpg?v=c39b9ffae2Errors in Standard Experiments | JEE Physics (English)A four-step method for the maximum percentage error in any standard experiment, taught like a live JEE class: write the formula in measured quantities, take logs and differentiate, why every term is made positive, why the errors of two readings add, the topper's biggest-term trick, and two solved problems on specific heat and on resistance and heat.https://rankdeterminant.com/media/v/phy-u1-ch5-c6.mp4?v=c39b9ffae25512026-10-13yes https://rankdeterminant.com/v/phy-u1-ch6-c1https://rankdeterminant.com/media/v/phy-u1-ch6-c1.jpg?v=47d6290e3c-1fffabLeast Count and the Vernier Principle | JEE Physics (English)How vernier callipers read a tenth of a millimetre from a main scale marked only in millimetres: least count, Vernier's sliding-scale principle, LC = 1 MSD / n, the reading formula MSR + VSR × LC, the classic divide-by-n and millimetre-to-centimetre traps, and two JEE-style solved problems, taught like a live class.https://rankdeterminant.com/media/v/phy-u1-ch6-c1.mp4?v=47d6290e3c-1fffab4592026-10-16yes https://rankdeterminant.com/v/phy-u1-ch6-c2https://rankdeterminant.com/media/v/phy-u1-ch6-c2.jpg?v=b8dc954b50-fa2e82Zero Error in Vernier Callipers | JEE Physics (English)How to find the zero error of vernier callipers: positive zero error when the vernier zero is to the right, negative zero error when it is to the left, why a negative error is minus (n minus k) least counts and not minus k, how to get the corrected reading with the sign, and two solved JEE problems.https://rankdeterminant.com/media/v/phy-u1-ch6-c2.mp4?v=b8dc954b50-fa2e825002026-10-16yes https://rankdeterminant.com/v/phy-u1-ch6-c3https://rankdeterminant.com/media/v/phy-u1-ch6-c3.jpg?v=828a7107c9-6980a6The Screw Gauge | JEE Physics (English)How a screw gauge works: the pitch of the screw, how to find the pitch from rotations, least count equals pitch divided by the number of circular divisions, reading = MSR + CSR x LC minus zero error, why it beats vernier callipers for a thin wire, and two solved problems for JEE, including a micrometre unit trap.https://rankdeterminant.com/media/v/phy-u1-ch6-c3.mp4?v=828a7107c9-6980a64412026-10-16yes https://rankdeterminant.com/v/phy-u1-ch6-c4https://rankdeterminant.com/media/v/phy-u1-ch6-c4.jpg?v=61978dcbc5Zero Error and Backlash of a Screw Gauge | JEE Physics (English)How to find the zero error of a screw gauge: zero below the index line gives a positive error, zero above it gives a negative error, why 95 on the line means minus 5 divisions, how to correct a reading, what backlash error is and how to avoid it, and two solved JEE problems with the classic sign trap.https://rankdeterminant.com/media/v/phy-u1-ch6-c4.mp4?v=61978dcbc55002026-10-13yes https://rankdeterminant.com/v/phy-u1-ch6-c5https://rankdeterminant.com/media/v/phy-u1-ch6-c5.jpg?v=aa1e19038e-18e935Spherometer, Travelling Microscope and Angular Verniers | JEE Physics (English)How a spherometer finds the radius of curvature of a lens from one small height, R = l²/6h + h/2, and its least count; the travelling microscope, its vernier least count and refractive index from real and apparent depth; the angular vernier of a spectrometer; the topper's two-formula trick for least count, and two solved JEE problems with the classic traps.https://rankdeterminant.com/media/v/phy-u1-ch6-c5.mp4?v=aa1e19038e-18e9355172026-10-16yes https://rankdeterminant.com/v/phy-u1-ch7-c1https://rankdeterminant.com/media/v/phy-u1-ch7-c1.jpg?v=ac79e0fa92Overview | JEE Physics (English)How to use the mixed JEE Main-pattern problems of Units and Measurements like a real test: three sets of fifteen original problems on units and dimensions, dimensional analysis and significant figures, and errors and instruments, about 25 minutes per set, the try-first rule, and two solved problems on dimensions and on converting one newton into a new system of units.https://rankdeterminant.com/media/v/phy-u1-ch7-c1.mp4?v=ac79e0fa924532026-10-13yes https://rankdeterminant.com/v/phy-u1-ch7-c2https://rankdeterminant.com/media/v/phy-u1-ch7-c2.jpg?v=5fb73e0e5bSet A: Units and Dimensions | JEE Physics (English)How to find the dimensions of any strange combination in JEE Main: break it into M, L, T, A, or use the topper's shortcut of spotting known pieces (CV, ½LI², μ₀ε₀ = 1/c², E/B = c, RC and L/R). Covers the look-alike traps, h/λ versus force and flux versus voltage, and two solved problems, including which quantities share the dimensions of Planck's constant.https://rankdeterminant.com/media/v/phy-u1-ch7-c2.mp4?v=5fb73e0e5b5472026-10-13yes https://rankdeterminant.com/v/phy-u1-ch7-c3https://rankdeterminant.com/media/v/phy-u1-ch7-c3.jpg?v=bd66063393Set B: Dimensional Analysis and Significant Figures | JEE Physics (English)A mixed JEE Main problem class on units and dimensions: the dimensions of constants inside a formula, the air drag relation by matching powers, why adding 312 m to 2.0 x 10^4 m changes nothing, the subtraction trap in significant figures, and two solved unit conversions: 1 N with units of 100 g, 10 cm and 0.1 s, and G in tonne, km and minute.https://rankdeterminant.com/media/v/phy-u1-ch7-c3.mp4?v=bd660633935242026-10-13yes https://rankdeterminant.com/v/phy-u1-ch7-c4https://rankdeterminant.com/media/v/phy-u1-ch7-c4.jpg?v=b0bcb19e99Set C: Errors and Instruments | JEE Physics (English)A mixed JEE Main problem class on errors and instruments: the power rule for percentage error, why errors add even for a quotient, the negative zero error trap in vernier callipers, choosing the right instrument for a thin wire, and finding g from a simple pendulum with its error.https://rankdeterminant.com/media/v/phy-u1-ch7-c4.mp4?v=b0bcb19e995162026-10-13yes https://rankdeterminant.com/v/phy-u1-ch8-c1https://rankdeterminant.com/media/v/phy-u1-ch8-c1.jpg?v=275b94cdc1Overview | JEE Physics (English)How to use the Units and Measurements problem bank like a real JEE paper: mixed problems from the whole unit, a timer of about 2 minutes for easy, 3 to 4 for medium and 6 to 8 for hard problems, an answers-only unit test, and two solved problems: the nanosecond-to-years puzzle and a pendulum timing trap on least count and percentage error.https://rankdeterminant.com/media/v/phy-u1-ch8-c1.mp4?v=275b94cdc14482026-10-13yes https://rankdeterminant.com/v/phy-u1-ch8-c2https://rankdeterminant.com/media/v/phy-u1-ch8-c2.jpg?v=36beaef94aPart A: Units, Dimensions and Dimensional Analysis | JEE Physics (English)Mixed solved JEE problems on units and dimensions: the topper's trick of spotting known blocks like B squared over mu nought and hc, building a dimensionless group, the hidden one second in the nth-second formula, the dimensions of radiation pressure, and Larmor's formula by the method of dimensions.https://rankdeterminant.com/media/v/phy-u1-ch8-c2.mp4?v=36beaef94a5112026-10-13yes https://rankdeterminant.com/v/phy-u1-ch8-c3https://rankdeterminant.com/media/v/phy-u1-ch8-c3.jpg?v=6951944558-2a464aPart B: Errors and Significant Figures | JEE Physics (English)Mixed solved problems on errors and significant figures for JEE Physics: percentage error from the least count, why a finer instrument is not always better, the power rule for the error in a formula, significant figures in products and sums, and finding g with its error from a free-fall experiment.https://rankdeterminant.com/media/v/phy-u1-ch8-c3.mp4?v=6951944558-2a464a5022026-10-16yes https://rankdeterminant.com/v/phy-u1-ch8-c4https://rankdeterminant.com/media/v/phy-u1-ch8-c4.jpg?v=6a904bbad2Part C: Instruments and Concept Checks | JEE Physics (English)Solved problems on measuring instruments for JEE Physics: least count of vernier callipers and screw gauge, positive and negative zero error with the minus n minus k trap, the one reading formula for both instruments, backlash, the spherometer formula, and two worked problems, including a vernier whose 10 divisions equal 11 main divisions.https://rankdeterminant.com/media/v/phy-u1-ch8-c4.mp4?v=6a904bbad25062026-10-13yes https://rankdeterminant.com/v/phy-u1-ch8-c5https://rankdeterminant.com/media/v/phy-u1-ch8-c5.jpg?v=f8f15971bfUnit Test | JEE Physics (English)Take the 14-question Units and Measurements unit test like a real JEE exam: which chapter each question comes from, the timing guide, the Show answers trap, the topper's name-the-idea-first trick, and two solved test questions: the least count of a screw gauge, and the percentage error in g from a simple pendulum.https://rankdeterminant.com/media/v/phy-u1-ch8-c5.mp4?v=f8f15971bf4602026-10-13yes https://rankdeterminant.com/v/phy-u10-ch1-c1https://rankdeterminant.com/media/v/phy-u10-ch1-c1.jpg?v=ed68df9e76-1e05e5Periodic Motion and the Equation of SHM | JEE Physics (English)Simple harmonic motion for JEE Physics: the condition a = −ω²x and the restoring force F = −kx, the equation x = A sin(ωt + φ), amplitude, phase and initial phase (epoch), the period T = 2π√(m/k) that does not depend on amplitude, how to tell SHM from merely periodic motion (the sin²ωt trap), the reference circle, and two solved problems.https://rankdeterminant.com/media/v/phy-u10-ch1-c1.mp4?v=ed68df9e76-1e05e55052026-10-21yes https://rankdeterminant.com/v/phy-u10-ch1-c2https://rankdeterminant.com/media/v/phy-u10-ch1-c2.jpg?v=03ddd35d57-d4d5d1Velocity, Acceleration and Time Between Positions | JEE Physics (English)Velocity and acceleration in simple harmonic motion for JEE Physics: v = ±ω√(A² − x²) and a = −ω²x, maximum speed at the mean position and maximum acceleration at the extremes, the ellipse v–x graph, phase leads of π/2 and π, why the mean position to A/2 takes T/12 and not T/8, and two solved problems: v max and a max, and the amplitude and period from two speeds.https://rankdeterminant.com/media/v/phy-u10-ch1-c2.mp4?v=03ddd35d57-d4d5d14942026-10-20yes https://rankdeterminant.com/v/phy-u10-ch1-c3https://rankdeterminant.com/media/v/phy-u10-ch1-c3.jpg?v=81c0231b36-39b5a0Energy in SHM and Small Oscillations | JEE Physics (English)Energy in simple harmonic motion for JEE Physics: potential energy ½kx², kinetic energy ½k(A²−x²), the constant total energy ½kA², where kinetic equals potential energy (at A/√2, not A/2), why K and U oscillate at 2f, time and position averages, and the angular frequency of small oscillations from U''(x₀), with two solved problems.https://rankdeterminant.com/media/v/phy-u10-ch1-c3.mp4?v=81c0231b36-39b5a05302026-10-21yes https://rankdeterminant.com/v/phy-u10-ch2-c1https://rankdeterminant.com/media/v/phy-u10-ch2-c1.jpg?v=fdb8236e57-86713eSpring–Mass Systems | JEE Physics (English)The time period of a spring-mass system for JEE Physics: T = 2π√(m/k) for horizontal and vertical springs, why gravity only shifts the mean position, springs in parallel and in series, the block between two springs trap, cutting a spring (kl constant), two blocks joined by a spring with the reduced mass, and placing a mass on an oscillating block, with two solved problems.https://rankdeterminant.com/media/v/phy-u10-ch2-c1.mp4?v=fdb8236e57-86713e4872026-10-21yes https://rankdeterminant.com/v/phy-u10-ch2-c2https://rankdeterminant.com/media/v/phy-u10-ch2-c2.jpg?v=6fef581db3-549ae0The Simple Pendulum | JEE Physics (English)The simple pendulum for JEE Physics: why small swings are simple harmonic, T = 2π√(l/g) and why it does not depend on the mass, the seconds pendulum (T = 2 s, not 1 s), effective g in a lift, a car or free fall, the 84.6 minute limit for very long pendulums, pendulum clocks losing time, and two solved problems: a 1 m pendulum and a pendulum in an accelerating car.https://rankdeterminant.com/media/v/phy-u10-ch2-c2.mp4?v=6fef581db3-549ae04902026-10-21yes https://rankdeterminant.com/v/phy-u10-ch2-c3https://rankdeterminant.com/media/v/phy-u10-ch2-c3.jpg?v=a80508c635-70df44Physical Pendulums and Other Oscillators | JEE Physics (English)The physical (compound) pendulum for JEE Physics: T = 2π√(I/mgd) with I about the pivot, the rod about one end, the ring on a peg and the disc pivoted at its rim, the torsional pendulum and a dipole in a uniform field, a floating body and liquid in a U-tube, and why a tunnel along any chord of the Earth gives 84.6 minutes, with two solved problems.https://rankdeterminant.com/media/v/phy-u10-ch2-c3.mp4?v=a80508c635-70df444902026-10-21yes https://rankdeterminant.com/v/phy-u10-ch3-c1https://rankdeterminant.com/media/v/phy-u10-ch3-c1.jpg?v=9876f7e570-8acc70Superposition of SHMs | JEE Physics (English)Superposition of SHMs for JEE Physics: add two SHMs of the same frequency with phasors, the resultant amplitude and phase formulas, a sin ωt + b cos ωt, why different frequencies never give an SHM and when the sum is periodic, perpendicular SHMs (line, ellipse, circle, figure of eight), and two solved problems including three SHMs that cancel completely.https://rankdeterminant.com/media/v/phy-u10-ch3-c1.mp4?v=9876f7e570-8acc704862026-10-21yes https://rankdeterminant.com/v/phy-u10-ch3-c2https://rankdeterminant.com/media/v/phy-u10-ch3-c2.jpg?v=1bb65063d9-4ce9f2Damped and Forced Oscillations | JEE Physics (English)Damped and forced oscillations for JEE Physics: the damped motion x = A0 e^(-bt/2m) sin(ω't + φ) with ω' slightly less than ω0, why the amplitude halves in 2m ln2/b while the energy halves twice as fast, equal fractional loss in each period, forced oscillations at the driving frequency, the amplitude formula and resonance, with two solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u10-ch3-c2.mp4?v=1bb65063d9-4ce9f25062026-10-21yes https://rankdeterminant.com/v/phy-u10-ch4-c1https://rankdeterminant.com/media/v/phy-u10-ch4-c1.jpg?v=23f85c7b23-a45e0eDescribing a Travelling Wave | JEE Physics (English)Travelling waves for JEE Physics: a wave carries energy, not matter; transverse and longitudinal waves; y = f(x − vt) and f(x + vt); the sine wave y = A sin(kx − ωt + φ) with k = 2π/λ, ω = 2πf and v = ω/k = fλ; the sign rule for direction; phase difference; why the largest particle speed Aω is not the wave speed; and two solved problems.https://rankdeterminant.com/media/v/phy-u10-ch4-c1.mp4?v=23f85c7b23-a45e0e5022026-10-21yes https://rankdeterminant.com/v/phy-u10-ch4-c2https://rankdeterminant.com/media/v/phy-u10-ch4-c2.jpg?v=47690e0704-9db606Speed, Energy and Power of Waves on a String | JEE Physics (English)Wave speed on a string for JEE Physics: v = √(T/μ), μ = ρa for a wire, why a pulse speeds up as it climbs a hanging rope (v = √(gx), time 2√(L/g)), why the frequency stays fixed while the wavelength changes with speed, energy per unit length and power P = ½μω²A²v, with two solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u10-ch4-c2.mp4?v=47690e0704-9db6064812026-10-21yes https://rankdeterminant.com/v/phy-u10-ch4-c3https://rankdeterminant.com/media/v/phy-u10-ch4-c3.jpg?v=9abdc90a11-d605fcSuperposition, Interference, Reflection and Transmission | JEE Physics (English)Superposition of waves for JEE Physics: displacements add, the resultant amplitude A = √(A1² + A2² + 2A1A2 cos δ) and the intensity formula, waves in phase and in opposite phase, how a pulse comes back inverted at a fixed or denser end but not at a free or lighter end, the reflected and transmitted amplitudes at a junction of two strings, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u10-ch4-c3.mp4?v=9abdc90a11-d605fc4962026-10-21yes https://rankdeterminant.com/v/phy-u10-ch5-c1https://rankdeterminant.com/media/v/phy-u10-ch5-c1.jpg?v=1518ae997b-3729ccFormation of Standing Waves | JEE Physics (English)How standing waves form for JEE Physics: two equal waves running in opposite directions add up to y = 2A sin kx cos ωt, every point oscillates with amplitude 2A|sin kx|, nodes are λ/2 apart and a node to the next antinode is λ/4, loops move in phase or opposite phase, no energy flows along the string, fixed end node and free end antinode, with two solved problems and the classic amplitude trap.https://rankdeterminant.com/media/v/phy-u10-ch5-c1.mp4?v=1518ae997b-3729cc4792026-10-21yes https://rankdeterminant.com/v/phy-u10-ch5-c2https://rankdeterminant.com/media/v/phy-u10-ch5-c2.jpg?v=86d68c835f-09f660Normal Modes of Strings and Rods | JEE Physics (English)Normal modes of strings and rods for JEE Physics: a string fixed at both ends and f = (n/2L)√(T/μ), harmonics versus overtones, loops and nodes, why successive resonances differ by the fundamental, only odd harmonics with one free end, the sonometer law l ∝ √T, the energy of a mode, longitudinal waves in rods, and two solved problems with the classic trap.https://rankdeterminant.com/media/v/phy-u10-ch5-c2.mp4?v=86d68c835f-09f6604802026-10-21yes https://rankdeterminant.com/v/phy-u10-ch6-c1https://rankdeterminant.com/media/v/phy-u10-ch6-c1.jpg?v=a9356e881c-4263efSpeed, Pressure and Intensity of Sound | JEE Physics (English)Speed of sound for JEE Physics: v = √(B/ρ), Newton's isothermal formula and Laplace's adiabatic correction v = √(γRT/M), why the speed does not depend on pressure at fixed temperature, v ∝ √T, the displacement and pressure waves with p₀ = ρvωs₀, intensity I = p₀²/2ρv, the decibel scale, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u10-ch6-c1.mp4?v=a9356e881c-4263ef5152026-10-21yes https://rankdeterminant.com/v/phy-u10-ch6-c2https://rankdeterminant.com/media/v/phy-u10-ch6-c2.jpg?v=f255069c82-91291aOrgan Pipes and the Resonance Tube | JEE Physics (English)Organ pipes for JEE Physics: why an open end is a displacement antinode and a closed end a node, all harmonics f = nv/2L in an open pipe, odd harmonics only in a closed pipe, overtones versus harmonics, the end correction e = 0.6r, and the resonance tube results v = 2f(l₂ − l₁) and e = (l₂ − 3l₁)/2, with two solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u10-ch6-c2.mp4?v=f255069c82-91291a5072026-10-21yes https://rankdeterminant.com/v/phy-u10-ch6-c3https://rankdeterminant.com/media/v/phy-u10-ch6-c3.jpg?v=5f61c99e58-251b04Beats | JEE Physics (English)Beats for JEE Physics: why two sounds of nearly equal frequencies swell and fade, why the beat frequency is |f1 − f2| and not half of it, beats from two wavelengths v|1/λ1 − 1/λ2|, how wax, filing and string tension change a frequency, and how to find an unknown frequency f0 ± n by testing both candidates, with two solved problems and their classic traps.https://rankdeterminant.com/media/v/phy-u10-ch6-c3.mp4?v=5f61c99e58-251b044882026-10-21yes https://rankdeterminant.com/v/phy-u10-ch7-c1https://rankdeterminant.com/media/v/phy-u10-ch7-c1.jpg?v=390fd14526-5cf91dThe Doppler Formula | JEE Physics (English)The Doppler effect for sound in JEE Physics: why the waves crowd ahead of a moving source, the formula f' = f(v + vo)/(v − vs) and its sign convention, speeds relative to the air, wind and line-of-sight components, why a moving source and a moving observer are not symmetric, and two solved problems: a passing source, and a train whistle whose pitch drops in the ratio 6:5.https://rankdeterminant.com/media/v/phy-u10-ch7-c1.mp4?v=390fd14526-5cf91d4742026-10-21yes https://rankdeterminant.com/v/phy-u10-ch7-c2https://rankdeterminant.com/media/v/phy-u10-ch7-c2.jpg?v=4c5663d2a6-dbaafdReflection, Echoes and Beats | JEE Physics (English)Doppler effect with reflection for JEE Physics: why a reflector is first an observer and then a source, the echo a driver hears from a wall, f'' = f(v+u)/(v-u), the same result for a surface approaching a source at rest, beats with the direct sound, the 2uf/v shortcut for u much smaller than v, and two solved problems (car horn echo and sonar) with the classic traps.https://rankdeterminant.com/media/v/phy-u10-ch7-c2.mp4?v=4c5663d2a6-dbaafd4692026-10-21yes https://rankdeterminant.com/v/phy-u10-ch8-c1https://rankdeterminant.com/media/v/phy-u10-ch8-c1.jpg?v=0e86559800-108946Overview | JEE Physics (English)How to solve JEE Main oscillations and waves questions in about two minutes each: the SHM toolkit (maximum speed A omega, spring and pendulum periods, springs in series and parallel), waves on strings and nodes, open and closed pipes, beats, and the Doppler sign convention, with two solved problems including the classic tension and length trap.https://rankdeterminant.com/media/v/phy-u10-ch8-c1.mp4?v=0e86559800-1089465092026-10-21yes https://rankdeterminant.com/v/phy-u10-ch8-c2https://rankdeterminant.com/media/v/phy-u10-ch8-c2.jpg?v=1bf0ea77f0-352a15Mixed Problems: Set 1 (SHM) | JEE Physics (English)SHM mixed problems for JEE Main, solved like a live class: the largest speed and acceleration from x = A sin(omega t + phi), a pendulum clock on the Moon and why its period grows only root 6 times, the fraction of energy that is potential, springs in series, and the time between two positions with the reference circle, with the classic traps.https://rankdeterminant.com/media/v/phy-u10-ch8-c2.mp4?v=1bf0ea77f0-352a154902026-10-21yes https://rankdeterminant.com/v/phy-u10-ch8-c3https://rankdeterminant.com/media/v/phy-u10-ch8-c3.jpg?v=efd3c1e25f-7d4a9cMixed Problems: Set 2 (Waves and Strings) | JEE Physics (English)Waves on strings in one JEE Main style mixed set: reading the frequency and wavelength off a wave equation, particle speed versus wave speed and the largest slope, nodes half a wavelength apart, the harmonics of a string fixed at both ends, why a 44% rise in tension gives only a 20% rise in frequency, and the interference trap where I and 4I give 9I, not 5I.https://rankdeterminant.com/media/v/phy-u10-ch8-c3.mp4?v=efd3c1e25f-7d4a9c5032026-10-21yes https://rankdeterminant.com/v/phy-u10-ch8-c4https://rankdeterminant.com/media/v/phy-u10-ch8-c4.jpg?v=09f0c5f963-151239Mixed Problems: Set 3 (Sound and Doppler) | JEE Physics (English)Sound and Doppler effect mixed problems for JEE Main, solved like a live class: overtones and harmonics of open and closed organ pipes, why 30 dB louder means 1000 times the intensity, the signs in the Doppler formula for a moving listener and a moving source, and the resonance tube with end correction, with the classic traps.https://rankdeterminant.com/media/v/phy-u10-ch8-c4.mp4?v=09f0c5f963-1512395092026-10-21yes https://rankdeterminant.com/v/phy-u10-ch9-c1https://rankdeterminant.com/media/v/phy-u10-ch9-c1.jpg?v=890d0184fd-dbabf0Overview | JEE Physics (English)How to use the oscillations and waves problem bank: Part A as a 30-minute JEE Main-level test after Chapters 1 to 8, Part B's longer JEE Advanced problems, Part C's concept checks (the pendulum at large swings, Doppler at right angles), and two solved problems: a pendulum in a lift accelerating down at g/2, and the waxed tuning fork beats trap.https://rankdeterminant.com/media/v/phy-u10-ch9-c1.mp4?v=890d0184fd-dbabf04272026-10-21yes https://rankdeterminant.com/v/phy-u10-ch9-c2https://rankdeterminant.com/media/v/phy-u10-ch9-c2.jpg?v=eb4bac02f6-4ea1afPart A: JEE Main Level | JEE Physics (English)JEE Main-level problems from the oscillations and waves unit problem bank, solved step by step: omega and amplitude from the largest speed and acceleration in SHM (5 rad/s, 0.1 m), a pendulum in a lift accelerating down at g/2 (root 2 times T), closing one end of an open pipe (300 Hz to 150 Hz), f, lambda and v from a wave equation (25 Hz, 40 cm, 10 m/s), and beats with a waxed fork (297 Hz), with the traps.https://rankdeterminant.com/media/v/phy-u10-ch9-c2.mp4?v=eb4bac02f6-4ea1af4742026-10-21yes https://rankdeterminant.com/v/phy-u10-ch9-c4https://rankdeterminant.com/media/v/phy-u10-ch9-c4.jpg?v=bee643cbe8-bdf878Part C: Concept Checks | JEE Physics (English)Five oscillations and waves concept checks for JEE, solved like a live class: is a pendulum's period independent of amplitude for large swings, is there a Doppler shift when the listener moves at right angles, why beats are not heard beyond about 10 Hz, does a travelling wave carry matter, and do displacement nodes in a pipe coincide with pressure nodes.https://rankdeterminant.com/media/v/phy-u10-ch9-c4.mp4?v=bee643cbe8-bdf8784722026-10-21yes https://rankdeterminant.com/v/phy-u11-ch1-c1https://rankdeterminant.com/media/v/phy-u11-ch1-c1.jpg?v=1590274e9c-892b88Electric Charge and Coulomb's Law | JEE Physics (English)Coulomb's law and the basics of electric charge for JEE: quantisation q = ne, conservation and additivity, why a positively charged body is slightly lighter, charging by induction, the vector form, the force in a medium and through a dielectric slab, superposition, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u11-ch1-c1.mp4?v=1590274e9c-892b884932026-10-21yes https://rankdeterminant.com/v/phy-u11-ch1-c2https://rankdeterminant.com/media/v/phy-u11-ch1-c2.jpg?v=594d96ad59-9cca0bEquilibrium of Charges | JEE Physics (English)Equilibrium of charges for JEE Physics: where a third charge feels no force between two like charges and outside two unlike charges, the square root shortcut, the charge that keeps the whole system in equilibrium, stable and unstable equilibrium along and across the line, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch1-c2.mp4?v=594d96ad59-9cca0b5032026-10-21yes https://rankdeterminant.com/v/phy-u11-ch1-c3https://rankdeterminant.com/media/v/phy-u11-ch1-c3.jpg?v=92c3f03513-956bb6Electric Field of Point Charges | JEE Physics (English)Electric field of point charges for JEE Physics: E = F/q₀ and its unit N/C = V/m, the field kq/r² pointing away from a positive and towards a negative charge, adding fields as vectors, why the force on an electron is opposite to E, the rules of field lines, the regular polygon trick when one charge is removed, and two solved problems: the field and force 30 cm from 2 μC, and four charges on a square.https://rankdeterminant.com/media/v/phy-u11-ch1-c3.mp4?v=92c3f03513-956bb64872026-10-21yes https://rankdeterminant.com/v/phy-u11-ch1-c4https://rankdeterminant.com/media/v/phy-u11-ch1-c4.jpg?v=1178b381e3-b5d596Fields of Continuous Charge Distributions | JEE Physics (English)Electric field of continuous charge distributions for JEE Physics: cutting the charge into point-charge pieces dq, a finite rod and an infinite line of charge (2kλ/r), arcs and the semicircle, a ring on its axis and why its centre has zero field, the disc and the infinite sheet σ/2ε₀, and two solved problems: the field on the axis of a charged rod, and where the axial field of a ring is largest.https://rankdeterminant.com/media/v/phy-u11-ch1-c4.mp4?v=1178b381e3-b5d5964832026-10-21yes https://rankdeterminant.com/v/phy-u11-ch1-c5https://rankdeterminant.com/media/v/phy-u11-ch1-c5.jpg?v=025de5a6f0-7db20aMotion of Charged Particles in Electric Fields | JEE Physics (English)Motion of a charged particle in a uniform electric field for JEE Physics: constant acceleration qE/m and the equations of motion, effective gravity, deflection between parallel plates y = qEL²/2mu² and tan θ = qEL/mu², the straight path outside, stopping distance against the field, a charged pendulum in a horizontal field, and two solved problems on an electron's speed and its deflection between plates.https://rankdeterminant.com/media/v/phy-u11-ch1-c5.mp4?v=025de5a6f0-7db20a4912026-10-21yes https://rankdeterminant.com/v/phy-u11-ch2-c1https://rankdeterminant.com/media/v/phy-u11-ch2-c1.jpg?v=dc5d238116-118cfbElectric Flux | JEE Physics (English)Electric flux for JEE Physics: the area vector along the normal, flux E·A = EA cos θ with θ measured from the normal, the integral form, the unit N m² C⁻¹ = V m, the outward normal and flux signs for a closed surface, zero net flux in a uniform field, the flat-rim trick for a hemisphere, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u11-ch2-c1.mp4?v=dc5d238116-118cfb4802026-10-21yes https://rankdeterminant.com/v/phy-u11-ch2-c2https://rankdeterminant.com/media/v/phy-u11-ch2-c2.jpg?v=7024dd0c95-893775Gauss's Law | JEE Physics (English)Gauss's law for JEE Physics: the flux through any closed surface is q_in/ε₀ whatever its shape or size, why zero flux does not mean zero field on the surface, flux through a cube with the charge at the centre, a face, an edge or a corner using the extra-cubes trick, flux through a disc, the differential form, and two solved problems.https://rankdeterminant.com/media/v/phy-u11-ch2-c2.mp4?v=7024dd0c95-8937754632026-10-21yes https://rankdeterminant.com/v/phy-u11-ch2-c3https://rankdeterminant.com/media/v/phy-u11-ch2-c3.jpg?v=ce592c5751-7e0ee0Spheres, Shells and Cavities | JEE Physics (English)Gauss's law with spherical symmetry for JEE Physics: why the field is zero inside a thin shell and jumps to σ/ε₀ at its surface, how the field of a uniform solid sphere grows with r inside and peaks at the surface, non-uniform density ρ = ρ₀rⁿ, and the topper's trick for a spherical cavity, with two solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u11-ch2-c3.mp4?v=ce592c5751-7e0ee04872026-10-21yes https://rankdeterminant.com/v/phy-u11-ch2-c4https://rankdeterminant.com/media/v/phy-u11-ch2-c4.jpg?v=511254f47f-6bdca8Lines, Cylinders, Sheets and Slabs | JEE Physics (English)Gauss's law for JEE Physics with cylindrical and plane symmetry: the field of an infinite line charge, a long charged cylinder inside and outside, a cylindrical shell, an infinite sheet whose field does not change with distance, two and three parallel sheets with directions, a thick slab, and the field just outside a conductor, with the classic traps and two solved problems.https://rankdeterminant.com/media/v/phy-u11-ch2-c4.mp4?v=511254f47f-6bdca85042026-10-21yes https://rankdeterminant.com/v/phy-u11-ch3-c1https://rankdeterminant.com/media/v/phy-u11-ch3-c1.jpg?v=d74a69dc70-067609Electric Potential | JEE Physics (English)Electric potential for JEE Physics: V as the work per unit charge in bringing a test charge from infinity, V = kq/r for a point charge, potentials added as scalars, V_B − V_A as minus the line integral of E, E = −dV/dx and the gradient, equipotential surfaces perpendicular to E, the V = 0 but E ≠ 0 trap, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch3-c1.mp4?v=d74a69dc70-0676095042026-10-21yes https://rankdeterminant.com/v/phy-u11-ch3-c2https://rankdeterminant.com/media/v/phy-u11-ch3-c2.jpg?v=cbcf6f1409-240f01Potentials of Continuous Distributions | JEE Physics (English)Electric potential of continuous charge distributions for JEE Physics: why a ring or an arc of any angle gives kQ/R at its centre, the axis of a ring, a rod on its axis with a natural log, a disc built from rings, a shell and a solid sphere (centre is 1.5 times the surface), and an infinite line with differences only, plus two solved problems.https://rankdeterminant.com/media/v/phy-u11-ch3-c2.mp4?v=cbcf6f1409-240f014862026-10-21yes https://rankdeterminant.com/v/phy-u11-ch3-c3https://rankdeterminant.com/media/v/phy-u11-ch3-c3.jpg?v=0dc3281823-69a8c5Potential Energy and Work | JEE Physics (English)Electrostatic potential energy for JEE Physics: U = kq₁q₂/r for two charges, one term for every pair in a system, U = qV, work by an external agent ΔU = q(V_B − V_A) and by the field −ΔU, the electron volt, self-energy of a thin shell and a solid sphere, energy density ½ε₀E², and two solved problems on four charges at the corners of a square.https://rankdeterminant.com/media/v/phy-u11-ch3-c3.mp4?v=0dc3281823-69a8c54672026-10-21yes https://rankdeterminant.com/v/phy-u11-ch3-c4https://rankdeterminant.com/media/v/phy-u11-ch3-c4.jpg?v=1c3d90d950-66e75aEnergy Conservation for Moving Charges | JEE Physics (English)Energy methods for moving charges in JEE Physics: K + qV stays constant, speed after acceleration from rest through a potential difference, the distance of closest approach to a fixed nucleus, the least kinetic energy to cross a potential hill, two free charges with momentum and energy together, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch3-c4.mp4?v=1c3d90d950-66e75a4932026-10-21yes https://rankdeterminant.com/v/phy-u11-ch4-c1https://rankdeterminant.com/media/v/phy-u11-ch4-c1.jpg?v=a9e250f8c3-296de3The Electric Dipole | JEE Physics (English)The electric dipole for JEE Physics: the dipole moment and its direction, the axial and equatorial fields of a short dipole, the field at any angle, the potential and why it is zero on the equatorial plane while the field is not, the exact fields close to the dipole, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch4-c1.mp4?v=a9e250f8c3-296de34642026-10-21yes https://rankdeterminant.com/v/phy-u11-ch4-c2https://rankdeterminant.com/media/v/phy-u11-ch4-c2.jpg?v=6a12438b28-817ea9A Dipole in an External Field | JEE Physics (English)An electric dipole in an external field for JEE Physics: why the net force is zero in a uniform field while a torque p E sin theta still turns it, the potential energy U = -pE cos theta, the work to rotate a dipole, stable and unstable positions, small oscillations, the pull of a non-uniform field, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch4-c2.mp4?v=6a12438b28-817ea94642026-10-21yes https://rankdeterminant.com/v/phy-u11-ch4-c3https://rankdeterminant.com/media/v/phy-u11-ch4-c3.jpg?v=2c17801203-cfedf3Conductors in Electrostatic Equilibrium | JEE Physics (English)Conductors in electrostatic equilibrium for JEE Physics: zero field inside the metal, the whole conductor as an equipotential, charge on the outer surface, the field sigma over epsilon naught just outside, cavities and shielding, sharp points, two spheres joined by a wire, the outward pressure on a charged surface, merging charged drops, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch4-c3.mp4?v=2c17801203-cfedf34692026-10-21yes https://rankdeterminant.com/v/phy-u11-ch4-c4https://rankdeterminant.com/media/v/phy-u11-ch4-c4.jpg?v=6126d6b5f9-1c8df7Concentric Shells, Earthing and Connections | JEE Physics (English)Concentric conducting shells for JEE Physics: the potential of each shell from V = k sum q over max(r, R), the charges on the inner and outer surfaces of a shell, why earthing makes the potential zero but not the charge, what a connecting wire does, the potential difference trick, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch4-c4.mp4?v=6126d6b5f9-1c8df74752026-10-21yes https://rankdeterminant.com/v/phy-u11-ch5-c1https://rankdeterminant.com/media/v/phy-u11-ch5-c1.jpg?v=f21effea4a-f9be66Capacitance and Standard Capacitors | JEE Physics (English)Capacitance for JEE Physics: C equals Q over V and why it depends only on geometry and the medium, the isolated sphere and the capacitance of the Earth, parallel-plate, spherical and cylindrical capacitors, the charges on the four faces of two plates, the force between the plates, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch5-c1.mp4?v=f21effea4a-f9be665212026-10-21yes https://rankdeterminant.com/v/phy-u11-ch5-c2https://rankdeterminant.com/media/v/phy-u11-ch5-c2.jpg?v=6faf415ce8-ca2b93Combinations of Capacitors | JEE Physics (English)Combinations of capacitors for JEE Physics: same V in parallel and same Q in series, why parallel capacitances add while series reciprocals add, how charge and voltage divide, the product over sum trick, why parallel is always at least four times series, the balanced Wheatstone bridge, n plates joined alternately, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch5-c2.mp4?v=6faf415ce8-ca2b935052026-10-21yes https://rankdeterminant.com/v/phy-u11-ch5-c3https://rankdeterminant.com/media/v/phy-u11-ch5-c3.jpg?v=4b8beafb79-daf0adEnergy Stored and Charge Sharing | JEE Physics (English)Energy stored in a capacitor for JEE Physics: U = Q squared over 2C = half CV squared = half QV, energy density, why a battery loses half its work as heat whatever the resistance, charge sharing between two capacitors with the common potential and the energy lost, unlike plates joined, pulling the plates apart with and without the battery, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch5-c3.mp4?v=4b8beafb79-daf0ad5192026-10-21yes https://rankdeterminant.com/v/phy-u11-ch5-c4https://rankdeterminant.com/media/v/phy-u11-ch5-c4.jpg?v=f2a3d3d50d-ead533Capacitors in Steady-State Circuits | JEE Physics (English)How to solve capacitor circuits for JEE Physics: why no current flows through a capacitor branch in steady state, why isolated plates keep their total charge, the loop rule (sum of q over C equals sum of emf), and the node method weighted average for the potential of a junction, with two solved problems from the course and their common traps.https://rankdeterminant.com/media/v/phy-u11-ch5-c4.mp4?v=f2a3d3d50d-ead5335032026-10-21yes https://rankdeterminant.com/v/phy-u11-ch6-c1https://rankdeterminant.com/media/v/phy-u11-ch6-c1.jpg?v=47ebe71028-48d1edDielectrics and Polarisation | JEE Physics (English)Dielectrics for JEE Physics: polar and non-polar molecules, how polarisation leaves bound charge on the faces of a slab that opposes the applied field, E equals E naught over K, why K is at least one and tends to infinity for a metal, the bound charge formula, C equals K C naught for a completely filled capacitor, Coulomb's law in a medium, dielectric strength, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch6-c1.mp4?v=47ebe71028-48d1ed4702026-10-21yes https://rankdeterminant.com/v/phy-u11-ch6-c2https://rankdeterminant.com/media/v/phy-u11-ch6-c2.jpg?v=a7f36ea587-760c11Partially Filled Capacitors | JEE Physics (English)Capacitors partly filled with dielectrics for JEE Physics: why layers across the gap act in series and materials side by side act in parallel, the dielectric slab formula and why the slab's position in the gap does not matter, a metal slab, permittivity that varies across the gap, and two solved problems from the course, including an isolated capacitor where the charge stays fixed.https://rankdeterminant.com/media/v/phy-u11-ch6-c2.mp4?v=a7f36ea587-760c114672026-10-21yes https://rankdeterminant.com/v/phy-u11-ch6-c3https://rankdeterminant.com/media/v/phy-u11-ch6-c3.jpg?v=fc42aec81f-689379Inserting a Dielectric: Battery Connected or Disconnected | JEE Physics (English)What happens when a dielectric slab fills a capacitor. With the battery disconnected the charge stays fixed, and V, E and the stored energy fall by K. With it connected V stays fixed, and the charge and energy rise K times. Where the energy goes, the force pulling a slab in, the rise of a liquid between plates, and two solved problems from the course with their traps.https://rankdeterminant.com/media/v/phy-u11-ch6-c3.mp4?v=fc42aec81f-6893794832026-10-21yes https://rankdeterminant.com/v/phy-u11-ch6-c4https://rankdeterminant.com/media/v/phy-u11-ch6-c4.jpg?v=fe5acf9751-c7ccb4Leakage through a Dielectric | JEE Physics (English)Leaky dielectrics for JEE Physics: why a real dielectric lets a small leakage current through, its resistance R equals rho d over A, why R times C equals rho K epsilon naught whatever the shape, the leakage current C V over rho K epsilon naught, the self-discharge time constant of an isolated capacitor, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u11-ch6-c4.mp4?v=fe5acf9751-c7ccb44932026-10-21yes https://rankdeterminant.com/v/phy-u11-ch7-c1https://rankdeterminant.com/media/v/phy-u11-ch7-c1.jpg?v=0204b5bbec-90ce14Overview | JEE Physics (English)How to solve JEE Main electrostatics questions in about two minutes each: Coulomb's law and its conditions, fields as vectors, Gauss's law and the zero-flux trap, potential and energy as scalars, the short dipole, and capacitors with dielectrics (battery on or isolated), with two solved problems: the zero-field point of two charges and the energy lost in charge sharing.https://rankdeterminant.com/media/v/phy-u11-ch7-c1.mp4?v=0204b5bbec-90ce145142026-10-21yes https://rankdeterminant.com/v/phy-u11-ch7-c2https://rankdeterminant.com/media/v/phy-u11-ch7-c2.jpg?v=866c7a0021-a42a9aMixed Problems: Set 1 (Charges, Fields and Gauss's Law) | JEE Physics (English)Electrostatics mixed problems for JEE Main, solved like a live class: the force between two protons one femtometre apart, the flux through one face of a cube with Gauss's law, the field inside a uniformly charged solid sphere, the null point between two like charges, and the field at the centre of a square with one corner empty, with the classic traps.https://rankdeterminant.com/media/v/phy-u11-ch7-c2.mp4?v=866c7a0021-a42a9a5022026-10-21yes https://rankdeterminant.com/v/phy-u11-ch7-c3https://rankdeterminant.com/media/v/phy-u11-ch7-c3.jpg?v=cf678df731-866f1dMixed Problems: Set 2 (Potential, Energy and Dipoles) | JEE Physics (English)Mixed JEE Main-pattern problems on electric potential, energy and dipoles: the potential of three charges on a triangle, why the potential is not zero inside a charged shell, the torque on a dipole, the potential energy of two charges, and the field from a given potential, with the traps students fall into.https://rankdeterminant.com/media/v/phy-u11-ch7-c3.mp4?v=cf678df731-866f1d5032026-10-21yes https://rankdeterminant.com/v/phy-u11-ch7-c4https://rankdeterminant.com/media/v/phy-u11-ch7-c4.jpg?v=923f2b2c8f-8143aeMixed Problems: Set 3 (Capacitors and Dielectrics) | JEE Physics (English)Capacitors and dielectrics for JEE Main in about two minutes a question: capacitance and parallel plates, series and parallel combinations with the product-over-sum trick, energy stored, battery connected or isolated, and the partial dielectric slab formula, with two solved problems: three 6 microfarad capacitors giving 4 microfarad, and a K = 6 slab filling half the gap giving 12/7 of C0.https://rankdeterminant.com/media/v/phy-u11-ch7-c4.mp4?v=923f2b2c8f-8143ae4932026-10-21yes https://rankdeterminant.com/v/phy-u11-ch8-c1https://rankdeterminant.com/media/v/phy-u11-ch8-c1.jpg?v=d57d1c1c19-38c32bOverview | JEE Physics (English)How to use the electrostatics problem bank: Part A as a 30-minute JEE Main-level test after Chapters 1 to 7, Part B's longer JEE Advanced problems, Part C's concept checks (Gauss's law without symmetry, does capacitance depend on charge), and two solved problems: the flux through a closed surface with a charge outside, and a dielectric slab in one of two series capacitors with the battery connected.https://rankdeterminant.com/media/v/phy-u11-ch8-c1.mp4?v=d57d1c1c19-38c32b4772026-10-21yes https://rankdeterminant.com/v/phy-u11-ch8-c2https://rankdeterminant.com/media/v/phy-u11-ch8-c2.jpg?v=fe1f9fd1e4-b729f0Part A: JEE Main Level | JEE Physics (English)JEE Main-level problems from the electrostatics unit problem bank, solved step by step: Gauss's law flux with a charge outside the surface (about -1.13 × 10^5 N m²/C), field and potential of a charged conducting sphere (10^6 N/C, 10^5 V), capacitors in series and parallel (16, 16 and 36 μC), work done by a uniform field using the dot product (20 J), and the field of four charges at the origin, with the traps.https://rankdeterminant.com/media/v/phy-u11-ch8-c2.mp4?v=fe1f9fd1e4-b729f04632026-10-21yes https://rankdeterminant.com/v/phy-u11-ch8-c4https://rankdeterminant.com/media/v/phy-u11-ch8-c4.jpg?v=e622e8b65e-2e9cffPart C: Concept Checks | JEE Physics (English)Six electrostatics concept checks for JEE, solved like a live class: can the field be zero where the potential is not, why field lines never form closed loops, the potential in an empty cavity of a conductor, Gauss's law for a surface with no symmetry, does capacitance depend on charge, and what happens to the energy when a slab enters an isolated capacitor.https://rankdeterminant.com/media/v/phy-u11-ch8-c4.mp4?v=e622e8b65e-2e9cff4922026-10-21yes https://rankdeterminant.com/v/phy-u12-ch1-c1https://rankdeterminant.com/media/v/phy-u12-ch1-c1.jpg?v=9fd6421364-3867d6Electric Current and Current Density | JEE Physics (English)Electric current as I = dq/dt, the ampere and the direction of current, charge as the area under the I–t graph, a revolving charge as a current, current density and I = ∫J·dA, why current is a scalar, why a steady current is the same in every cross-section, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u12-ch1-c1.mp4?v=9fd6421364-3867d64602026-10-21yes https://rankdeterminant.com/v/phy-u12-ch1-c2https://rankdeterminant.com/media/v/phy-u12-ch1-c2.jpg?v=2e6ed5254e-bf406cDrift Velocity and Mobility | JEE Physics (English)Drift velocity and mobility for JEE, taught like a live class: why fast random electrons give no current, how an electric field makes them drift, the drift velocity formula with relaxation time, mobility and its unit, I = neAv_d, why a lamp lights at once, why drift speed at a fixed potential difference does not depend on area, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u12-ch1-c2.mp4?v=2e6ed5254e-bf406c4752026-10-21yes https://rankdeterminant.com/v/phy-u12-ch1-c3https://rankdeterminant.com/media/v/phy-u12-ch1-c3.jpg?v=3f6abfb748-212eadOhm's Law, Resistance and Resistivity | JEE Physics (English)Ohm's law for an ohmic conductor at constant temperature, its microscopic form J = sigma E with conductivity and resistivity built from drift, R = rho l over A, why resistivity depends only on the material and temperature, and why a wire stretched to twice its length has four times the resistance. Two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u12-ch1-c3.mp4?v=3f6abfb748-212ead5072026-10-21yes https://rankdeterminant.com/v/phy-u12-ch1-c4https://rankdeterminant.com/media/v/phy-u12-ch1-c4.jpg?v=b721f4e737-017afaTemperature Dependence and the Colour Code | JEE Physics (English)How resistance changes with temperature: R = R0(1 + alpha delta T) for metals over moderate ranges, why manganin, constantan and nichrome barely change, why semiconductors have a negative alpha, finding alpha from two readings, and reading the resistor colour code with B B ROY of Great Britain. Two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u12-ch1-c4.mp4?v=b721f4e737-017afa5002026-10-21yes https://rankdeterminant.com/v/phy-u12-ch2-c1https://rankdeterminant.com/media/v/phy-u12-ch2-c1.jpg?v=3de2a92371-f0d047Series and Parallel Combinations | JEE Physics (English)How resistors combine in series and in parallel: same current and the resistances add, same voltage and the reciprocals add, the voltage and current divider rules, product over sum for two resistors, the n squared to one ratio, a wire bent into a circle, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u12-ch2-c1.mp4?v=3de2a92371-f0d0474932026-10-21yes https://rankdeterminant.com/v/phy-u12-ch2-c2https://rankdeterminant.com/media/v/phy-u12-ch2-c2.jpg?v=1ec7ca240c-c099fdSymmetry, Balanced Bridges and Special Networks | JEE Physics (English)How to simplify scary resistor networks: points at equal potential, the balanced Wheatstone bridge condition P/Q = R/S, the infinite ladder trick, the cube of twelve equal resistors and the star–delta conversion, with two solved JEE-style problems and the classic traps.https://rankdeterminant.com/media/v/phy-u12-ch2-c2.mp4?v=1ec7ca240c-c099fd5062026-10-21yes https://rankdeterminant.com/v/phy-u12-ch2-c3https://rankdeterminant.com/media/v/phy-u12-ch2-c3.jpg?v=86aebbd5e8-44d185EMF, Internal Resistance and Terminal Voltage | JEE Physics (English)How a real cell works: emf E and internal resistance r, the current E over (R + r), terminal voltage V = E − Ir while the cell drives a circuit and V = E + Ir while it is being charged, open and short circuit, the V–I line with intercept E and slope −r, finding r from two readings, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u12-ch2-c3.mp4?v=86aebbd5e8-44d1854802026-10-21yes https://rankdeterminant.com/v/phy-u12-ch2-c4https://rankdeterminant.com/media/v/phy-u12-ch2-c4.jpg?v=772a144c27-55beacCombinations of Cells | JEE Physics (English)How cells combine: n identical cells in series (emf nE, internal resistance nr, and (n − 2k)E when k are reversed), m cells in parallel (emf E, resistance r/m), mixed grouping in rows with the largest current when the external resistance equals the internal resistance, cells of different emfs in parallel, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u12-ch2-c4.mp4?v=772a144c27-55beac4812026-10-21yes https://rankdeterminant.com/v/phy-u12-ch3-c1https://rankdeterminant.com/media/v/phy-u12-ch3-c1.jpg?v=9533f5bb01-94324bKirchhoff's Laws | JEE Physics (English)Kirchhoff's junction rule (conservation of charge) and loop rule (conservation of energy), explained step by step: the sign convention for resistors and cells, the potential difference along a branch, the node-potential method for circuits with several cells, and two solved JEE-style problems, including a cell that is being charged.https://rankdeterminant.com/media/v/phy-u12-ch3-c1.mp4?v=9533f5bb01-94324b4972026-10-21yes https://rankdeterminant.com/v/phy-u12-ch4-c1https://rankdeterminant.com/media/v/phy-u12-ch4-c1.jpg?v=a0f913c768-b540fcGalvanometer, Ammeter and Voltmeter | JEE Physics (English)How a moving-coil galvanometer becomes an ammeter (a small shunt in parallel, S = I_g G/(I − I_g)) and a voltmeter (a large resistance in series, R = V/I_g − G): figure of merit, current and voltage sensitivity, ideal meters, why a real voltmeter reads low, extending a meter's range n times, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u12-ch4-c1.mp4?v=a0f913c768-b540fc5192026-10-21yes https://rankdeterminant.com/v/phy-u12-ch4-c2https://rankdeterminant.com/media/v/phy-u12-ch4-c2.jpg?v=f2e07dad99-9a12edWheatstone Bridge and Metre Bridge | JEE Physics (English)Metre bridge and Wheatstone bridge for JEE Physics: the balance condition P/Q = R/S, why the null point gives X/R = l/(100 - l), what does and does not move the null point, end corrections, why the error is least near the middle, and two solved metre bridge problems, including a shunt question.https://rankdeterminant.com/media/v/phy-u12-ch4-c2.mp4?v=f2e07dad99-9a12ed5022026-10-21yes https://rankdeterminant.com/v/phy-u12-ch4-c3https://rankdeterminant.com/media/v/phy-u12-ch4-c3.jpg?v=350169ee01-f544c9The Potentiometer | JEE Physics (English)How a potentiometer measures the true emf of a cell while drawing no current: the potential gradient k = V_AB/L, the null point E = kl, what sets k and the sensitivity, when no null point exists, comparing two emfs, the sum-difference method, finding a cell's internal resistance, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u12-ch4-c3.mp4?v=350169ee01-f544c95072026-10-21yes https://rankdeterminant.com/v/phy-u12-ch5-c1https://rankdeterminant.com/media/v/phy-u12-ch5-c1.jpg?v=562d9b327f-144dd6Joule Heating and Electric Power | JEE Physics (English)Electric power and Joule heating for JEE Physics: P = VI = I²R = V²/R and heat H = I²Rt, how a rating fixes the resistance, why power goes as V squared, which bulb glows brighter in series and in parallel, the total power of two bulbs, the kilowatt hour unit, and two solved problems on a heater and on 60 W and 40 W bulbs in series.https://rankdeterminant.com/media/v/phy-u12-ch5-c1.mp4?v=562d9b327f-144dd64972026-10-21yes https://rankdeterminant.com/v/phy-u12-ch5-c2https://rankdeterminant.com/media/v/phy-u12-ch5-c2.jpg?v=24f9af755e-74fccfMaximum Power, Fuses and Transmission | JEE Physics (English)Maximum power transfer for JEE Physics: the power E squared R over (R + r) squared, why it peaks at R = r with P max = E squared over 4r and only 50% efficiency, two loads with R1 R2 = r squared, why the fusing current goes as r to the power 3/2 and does not depend on length, and why power lines use high voltage, with two solved problems.https://rankdeterminant.com/media/v/phy-u12-ch5-c2.mp4?v=24f9af755e-74fccf4772026-10-21yes https://rankdeterminant.com/v/phy-u12-ch6-c1https://rankdeterminant.com/media/v/phy-u12-ch6-c1.jpg?v=8432590c2d-2cf97bCapacitors in DC Circuits | JEE Physics (English)Capacitors in DC circuits for JEE Physics: why no current flows into a capacitor in the steady state, why a resistor in series with it has no potential drop, why an uncharged capacitor acts as a wire just after switching and a charged one as a cell of emf q/C, the redraw-twice trick, and two solved problems on steady charge, stored energy and battery current.https://rankdeterminant.com/media/v/phy-u12-ch6-c1.mp4?v=8432590c2d-2cf97b4552026-10-21yes https://rankdeterminant.com/v/phy-u12-ch6-c2https://rankdeterminant.com/media/v/phy-u12-ch6-c2.jpg?v=c84221dd62-0d9a19Charging and Discharging | JEE Physics (English)Charging and discharging of a capacitor through a resistor for JEE Physics: q = CE(1 - e^(-t/RC)), the time constant tau = RC, 63% and 37% after one tau, current and voltages while charging, half-life of charge and of energy, why half of CE squared is lost as heat whatever R is, tau = C R_eq for a network, and two solved problems.https://rankdeterminant.com/media/v/phy-u12-ch6-c2.mp4?v=c84221dd62-0d9a195142026-10-21yes https://rankdeterminant.com/v/phy-u12-ch7-c1https://rankdeterminant.com/media/v/phy-u12-ch7-c1.jpg?v=61b9426fb5-a6663cOverview | JEE Physics (English)How to use the current electricity mixed problem sets for JEE Main: the question types, the tools for each set (drift, Ohm's law, resistivity, series and parallel, cells, Kirchhoff's rules, meters, bridge, potentiometer, power, capacitors and RC charging) and two solved problems: a wire stretched to three times its length, and the time to reach 75% charge.https://rankdeterminant.com/media/v/phy-u12-ch7-c1.mp4?v=61b9426fb5-a6663c4872026-10-21yes https://rankdeterminant.com/v/phy-u12-ch7-c2https://rankdeterminant.com/media/v/phy-u12-ch7-c2.jpg?v=94f08e5c9f-a409f9Mixed Problems: Set 1 (Current, Resistivity and Networks) | JEE Physics (English)Current electricity mixed problems for JEE Main, solved like a live class: why a wire stretched to three times its length has nine times the resistance, drift speed from I = neAv_d with the square millimetre trap, series and parallel with product over sum, a wire bent into a circle, and the infinite ladder network.https://rankdeterminant.com/media/v/phy-u12-ch7-c2.mp4?v=94f08e5c9f-a409f94842026-10-21yes https://rankdeterminant.com/v/phy-u12-ch7-c3https://rankdeterminant.com/media/v/phy-u12-ch7-c3.jpg?v=79ca0200bd-903dbbMixed Problems: Set 2 (Cells, Kirchhoff's Laws and Instruments) | JEE Physics (English)Mixed JEE Main-pattern problems on current electricity: the terminal voltage of a real cell while it discharges and while it is charged, turning a galvanometer into an ammeter and a voltmeter, comparing emfs with a potentiometer, and a junction potential from Kirchhoff's junction rule, with the traps students fall into.https://rankdeterminant.com/media/v/phy-u12-ch7-c3.mp4?v=79ca0200bd-903dbb4832026-10-21yes https://rankdeterminant.com/v/phy-u12-ch7-c4https://rankdeterminant.com/media/v/phy-u12-ch7-c4.jpg?v=4a59794b89-a11543Mixed Problems: Set 3 (Power and RC Circuits) | JEE Physics (English)Power and RC circuit mixed problems for JEE Main, solved like a live class: why a 100 W, 200 V bulb on 160 V gives 64 W and not 80 W, maximum power E squared over 4r at R = r, the steady charge on a capacitor, the time to reach 75% of the final charge, and why a discharging capacitor's energy falls as e to the power minus 2t over tau.https://rankdeterminant.com/media/v/phy-u12-ch7-c4.mp4?v=4a59794b89-a115434672026-10-21yes https://rankdeterminant.com/v/phy-u12-ch8-c1https://rankdeterminant.com/media/v/phy-u12-ch8-c1.jpg?v=de514b4dfa-d57de1Overview | JEE Physics (English)How to use the current electricity problem bank: Part A as a 30-minute JEE Main-level test after Chapters 1 to 7, Part B's JEE Advanced problems, Part C's concept checks (why a potentiometer beats a voltmeter, Wheatstone bridge balance), and two solved problems: 40 W and 100 W bulbs in series, and the steady charge on a capacitor joining two branches.https://rankdeterminant.com/media/v/phy-u12-ch8-c1.mp4?v=de514b4dfa-d57de14922026-10-21yes https://rankdeterminant.com/v/phy-u12-ch8-c2https://rankdeterminant.com/media/v/phy-u12-ch8-c2.jpg?v=ab2517fb9c-84d610Part A: JEE Main Level | JEE Physics (English)JEE Main-level problems from the current electricity problem bank, solved step by step: series and parallel resistors (ratio 11), a wire drawn to double length (resistance four times), converting a galvanometer into a voltmeter (9900 ohm in series), finding the emf and internal resistance of a cell (2 V, 0.2 ohm), and 40 W and 100 W bulbs in series (powers 5:2), with the traps.https://rankdeterminant.com/media/v/phy-u12-ch8-c2.mp4?v=ab2517fb9c-84d6104992026-10-21yes https://rankdeterminant.com/v/phy-u12-ch8-c4https://rankdeterminant.com/media/v/phy-u12-ch8-c4.jpg?v=0a7ab37a11-73fddfPart C: Concept Checks | JEE Physics (English)Six current electricity concept checks for JEE, solved like a live class: does every conductor obey Ohm's law, why manganin is used for standard resistors, does the balance of a Wheatstone bridge depend on the emf, why a potentiometer is preferred to a voltmeter, drift speed at a fixed current, and why the heat in charging a capacitor does not depend on the resistance.https://rankdeterminant.com/media/v/phy-u12-ch8-c4.mp4?v=0a7ab37a11-73fddf5202026-10-21yes https://rankdeterminant.com/v/phy-u13-ch1-c1https://rankdeterminant.com/media/v/phy-u13-ch1-c1.jpg?v=19f4ff2278-68a964Magnetic Field and the Biot–Savart Law | JEE Physics (English)The Biot-Savart law for a current element, dB = (μ0/4π) I dl sinθ / r², in vector and scalar form: why the field is perpendicular to both dl and r, why it is zero on the line of the element, the field of a moving point charge, tesla and gauss, the right-hand rule, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u13-ch1-c1.mp4?v=19f4ff2278-68a9644932026-10-21yes https://rankdeterminant.com/v/phy-u13-ch1-c2https://rankdeterminant.com/media/v/phy-u13-ch1-c2.jpg?v=6fdb032c0f-b7f369Field of a Straight Current | JEE Physics (English)Magnetic field of a straight current-carrying wire from the Biot-Savart law: the finite-wire formula with sin alpha plus sin beta, why the angles are measured from the perpendicular, the infinite and semi-infinite wire, zero field on the line of the wire, square and polygon loops, and two solved JEE-style problems on a 30 cm wire.https://rankdeterminant.com/media/v/phy-u13-ch1-c2.mp4?v=6fdb032c0f-b7f3695092026-10-21yes https://rankdeterminant.com/v/phy-u13-ch1-c3https://rankdeterminant.com/media/v/phy-u13-ch1-c3.jpg?v=13acbc2486-64973fField of Arcs, Circular Loops and Coils | JEE Physics (English)Magnetic field of a current-carrying arc, circular loop and coil for JEE, taught like a live class: the Biot-Savart derivation of mu naught I phi over 4 pi R, the semicircle, full loop and N turns, the field on the axis of a loop, why only 1 over 2 root 2 of it is left at x = R (not half) and one eighth at x = root 3 R, the straight-piece trick, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u13-ch1-c3.mp4?v=13acbc2486-64973f4892026-10-21yes https://rankdeterminant.com/v/phy-u13-ch2-c1https://rankdeterminant.com/media/v/phy-u13-ch2-c1.jpg?v=4449eafa2a-1413e5Ampère's Circuital Law | JEE Physics (English)Ampere's circuital law for JEE, taught like a live class: the line integral of B round an Amperian loop equals mu naught times the enclosed current, the right-hand sign rule, choosing a smart loop, the field of a long straight wire in one line, why outside currents do not change the integral, Gauss's law for magnetism, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u13-ch2-c1.mp4?v=4449eafa2a-1413e54692026-10-21yes https://rankdeterminant.com/v/phy-u13-ch2-c2https://rankdeterminant.com/media/v/phy-u13-ch2-c2.jpg?v=cf339fa12c-a208aeThick Wires, Cylinders and Current Sheets | JEE Physics (English)Magnetic field inside and outside a thick current-carrying wire from Ampere's circuital law: B proportional to r inside and to 1/r outside, thin and thick tubes, the coaxial cable, non-uniform current density, the infinite current sheet, the cavity superposition trick, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u13-ch2-c2.mp4?v=cf339fa12c-a208ae4902026-10-21yes https://rankdeterminant.com/v/phy-u13-ch2-c3https://rankdeterminant.com/media/v/phy-u13-ch2-c3.jpg?v=629937db0c-597782Solenoids and Toroids | JEE Physics (English)Magnetic field of a long solenoid and a toroid for JEE, taught like a live class: Ampere's law with a rectangular loop gives mu naught n I inside and almost zero outside, half the field at the ends, the finite solenoid formula, why only turns per unit length matter, the toroid field mu naught N I over 2 pi r, a core of relative permeability with H = nI, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u13-ch2-c3.mp4?v=629937db0c-5977824742026-10-21yes https://rankdeterminant.com/v/phy-u13-ch3-c1https://rankdeterminant.com/media/v/phy-u13-ch3-c1.jpg?v=44e9aaaff9-ed94d2The Lorentz Force | JEE Physics (English)The Lorentz force for JEE, taught like a live class: F = qE + q v cross B, the size q v B sin theta, why the magnetic force is perpendicular to v and B and does no work, when it is zero, the reversed direction for an electron, Fleming's left-hand rule, and two solved problems, including the cross product by determinant, with the classic sign traps.https://rankdeterminant.com/media/v/phy-u13-ch3-c1.mp4?v=44e9aaaff9-ed94d24982026-10-21yes https://rankdeterminant.com/v/phy-u13-ch3-c2https://rankdeterminant.com/media/v/phy-u13-ch3-c2.jpg?v=082297ab8e-b84ac7Circular and Helical Motion | JEE Physics (English)Circular and helical motion of a charged particle in a uniform magnetic field for JEE: why the path is a circle, the radius m v over q B in momentum, kinetic energy and voltage form, a period and cyclotron frequency independent of speed, the sense of rotation, the helix with its radius and pitch, and two solved proton problems with the sine and cosine trap.https://rankdeterminant.com/media/v/phy-u13-ch3-c2.mp4?v=082297ab8e-b84ac74932026-10-21yes https://rankdeterminant.com/v/phy-u13-ch3-c3https://rankdeterminant.com/media/v/phy-u13-ch3-c3.jpg?v=d942853e0f-bbf599Crossed Fields, the Cyclotron and the Hall Effect | JEE Physics (English)Crossed electric and magnetic fields for JEE: the velocity selector v = E/B for any charge or mass, the mass spectrometer, a charge released from rest moving on a cycloid, the cyclotron frequency and maximum kinetic energy, why a cyclotron cannot accelerate electrons, and the Hall voltage that reveals the sign of the carriers, with two solved problems.https://rankdeterminant.com/media/v/phy-u13-ch3-c3.mp4?v=d942853e0f-bbf5995102026-10-21yes https://rankdeterminant.com/v/phy-u13-ch4-c1https://rankdeterminant.com/media/v/phy-u13-ch4-c1.jpg?v=3d31ba71f1-b56fb7Force on a Current-Carrying Conductor | JEE Physics (English)Force on a current-carrying conductor in a magnetic field for JEE: how the Lorentz force on moving charges adds up to F = I L cross B and I L B sine theta, why a wire of any shape feels the same force as the straight wire joining its ends, why a closed loop in a uniform field feels no net force but may feel a torque, and two solved problems with the centimetre and sign traps.https://rankdeterminant.com/media/v/phy-u13-ch4-c1.mp4?v=3d31ba71f1-b56fb74722026-10-21yes https://rankdeterminant.com/v/phy-u13-ch4-c2https://rankdeterminant.com/media/v/phy-u13-ch4-c2.jpg?v=11d139a7bb-1dfe39Force Between Parallel Currents | JEE Physics (English)Force between two long parallel current-carrying wires for JEE Physics: the formula mu0 I1 I2 over 2 pi d, why parallel currents attract and antiparallel currents repel, how this force defined the ampere, the force on a rod and on a rectangular loop near a long wire, and two solved problems, ending with a wire that floats on magnetic repulsion.https://rankdeterminant.com/media/v/phy-u13-ch4-c2.mp4?v=11d139a7bb-1dfe394772026-10-21yes https://rankdeterminant.com/v/phy-u13-ch4-c3https://rankdeterminant.com/media/v/phy-u13-ch4-c3.jpg?v=07331bc45a-cedf06Torque on a Current Loop; Magnetic Moment | JEE Physics (English)Torque on a current loop in a uniform magnetic field for JEE: why the equal and opposite forces form a couple, tau = I A B sin theta for any plane loop, the magnetic moment mu = N I A by the right-hand rule, tau = mu cross B, the potential energy U = -mu dot B, stable and unstable equilibrium, the work 2 mu B, and two solved problems with the square-centimetre and angle traps.https://rankdeterminant.com/media/v/phy-u13-ch4-c3.mp4?v=07331bc45a-cedf064652026-10-21yes https://rankdeterminant.com/v/phy-u13-ch4-c4https://rankdeterminant.com/media/v/phy-u13-ch4-c4.jpg?v=67faa5f1b4-573c99The Moving-Coil Galvanometer | JEE Physics (English)Moving-coil galvanometer for JEE Physics: why the radial field gives the same torque NIAB at every position and an evenly marked, linear scale, current sensitivity, voltage sensitivity and figure of merit, why doubling the turns leaves the voltage sensitivity unchanged, eddy-current damping on a metal frame, and two solved problems, ending with the swing caused by a sudden charge.https://rankdeterminant.com/media/v/phy-u13-ch4-c4.mp4?v=67faa5f1b4-573c994632026-10-21yes https://rankdeterminant.com/v/phy-u13-ch5-c1https://rankdeterminant.com/media/v/phy-u13-ch5-c1.jpg?v=162f8b527e-4c1dfeThe Bar Magnet as a Magnetic Dipole | JEE Physics (English)The bar magnet as a magnetic dipole for JEE: closed field lines, the magnetic moment from S to N and m = q_m times 2l, the axial and equatorial fields of a short magnet and their 2 : 1 ratio, the formulas for a magnet that is not short, torque and energy in a uniform field, what cutting and bending do to pole strength and moment, and two solved problems.https://rankdeterminant.com/media/v/phy-u13-ch5-c1.mp4?v=162f8b527e-4c1dfe4972026-10-21yes https://rankdeterminant.com/v/phy-u13-ch5-c2https://rankdeterminant.com/media/v/phy-u13-ch5-c2.jpg?v=177fed7dd1-331f44The Earth's Magnetism | JEE Physics (English)Earth's magnetism for JEE Physics: the Earth as a dipole whose south pole faces geographic north, the three magnetic elements (declination, dip, horizontal component), B_H = B_E cos dip and B_V = B_E sin dip, apparent dip in a tilted plane, the true dip from two perpendicular planes, neutral points and the oscillation magnetometer, with two solved problems.https://rankdeterminant.com/media/v/phy-u13-ch5-c2.mp4?v=177fed7dd1-331f444902026-10-21yes https://rankdeterminant.com/v/phy-u13-ch5-c3https://rankdeterminant.com/media/v/phy-u13-ch5-c3.jpg?v=bd06c81562-ef9f86Magnetic Materials | JEE Physics (English)Magnetic materials for JEE Physics: magnetisation M, magnetic intensity H, susceptibility and relative permeability with B = mu0(H + M) and mu_r = 1 + chi; diamagnetic, paramagnetic and ferromagnetic materials, Curie's law, the Curie temperature, the Meissner effect, the hysteresis loop with retentivity and coercivity, soft iron versus steel, and two solved problems.https://rankdeterminant.com/media/v/phy-u13-ch5-c3.mp4?v=bd06c81562-ef9f865142026-10-21yes https://rankdeterminant.com/v/phy-u13-ch6-c1https://rankdeterminant.com/media/v/phy-u13-ch6-c1.jpg?v=8ed49e244a-39a97bOverview | JEE Physics (English)How to use the magnetism mixed problem sets for JEE Main: the tools for fields of wires, arcs and coils, for charged particles (force, radius, period) and for forces, torques and magnetic materials, with two solved problems: where the field of two parallel wires is zero, and the pitch of an electron's helix.https://rankdeterminant.com/media/v/phy-u13-ch6-c1.mp4?v=8ed49e244a-39a97b4792026-10-21yes https://rankdeterminant.com/v/phy-u13-ch6-c2https://rankdeterminant.com/media/v/phy-u13-ch6-c2.jpg?v=a3e74f9f2a-676113Mixed Problems: Set 1 (Fields of Currents) | JEE Physics (English)Mixed JEE Main-pattern problems on the magnetic field of currents: a long straight wire with mu naught over two pi, the semi-infinite wire, arcs with the angle in radians, loops and coils, two concentric coils whose fields cancel, the zero-field point between two parallel wires, and the field at the centre of a hairpin wire, with the traps students fall into.https://rankdeterminant.com/media/v/phy-u13-ch6-c2.mp4?v=a3e74f9f2a-6761134672026-10-21yes https://rankdeterminant.com/v/phy-u13-ch6-c3https://rankdeterminant.com/media/v/phy-u13-ch6-c3.jpg?v=15e61984f3-a6d98eMixed Problems: Set 2 (Charged Particles) | JEE Physics (English)Charged particles in a magnetic field, JEE Main pattern: why the magnetic force does no work, the radius m v over q B and root 2 m K over q B, what doubling the kinetic energy really does, the period and cyclotron frequency, the velocity selector, and two solved problems: the radius of a proton's circle and the mass of an ion in atomic mass units.https://rankdeterminant.com/media/v/phy-u13-ch6-c3.mp4?v=15e61984f3-a6d98e4692026-10-21yes https://rankdeterminant.com/v/phy-u13-ch6-c4https://rankdeterminant.com/media/v/phy-u13-ch6-c4.jpg?v=bef6f55e9c-6fa61cMixed Problems: Set 3 (Forces, Torques and Magnetism) | JEE Physics (English)Force on a current-carrying wire, torque on a coil and magnetic materials, JEE Main pattern: F = ILB sin theta, why a bent wire in a uniform field acts like the straight line joining its ends, parallel currents attract, magnetic moment NIA, torque with theta from the normal, susceptibility and Curie's law, and two solved problems: a coil's moment and torque, and the force on an L-shaped wire.https://rankdeterminant.com/media/v/phy-u13-ch6-c4.mp4?v=bef6f55e9c-6fa61c4842026-10-21yes https://rankdeterminant.com/v/phy-u13-ch7-c1https://rankdeterminant.com/media/v/phy-u13-ch7-c1.jpg?v=2377a71fc8-555596Overview | JEE Physics (English)How to use the magnetic effects of current and magnetism problem bank: Part A as a 30-minute JEE Main-level test after Chapters 1 to 6, Part B's JEE Advanced problems, Part C's concept checks (do electron beams attract or repel, can a magnetic field change kinetic energy), and two solved problems: the field at the centre of a circular loop, and an electron fired across a long solenoid.https://rankdeterminant.com/media/v/phy-u13-ch7-c1.mp4?v=2377a71fc8-5555964742026-10-21yes https://rankdeterminant.com/v/phy-u13-ch7-c2https://rankdeterminant.com/media/v/phy-u13-ch7-c2.jpg?v=77d99b0c27-93372dPart A: JEE Main Level | JEE Physics (English)Quick JEE Main level problems on magnetic effects of current: why a straight wire and a semicircular wire feel the same force in a uniform field, how the radius mv/qB changes with the field, why the period does not depend on speed, the field at the centre of a circular loop, and the radius of an alpha particle accelerated through one kilovolt.https://rankdeterminant.com/media/v/phy-u13-ch7-c2.mp4?v=77d99b0c27-93372d5042026-10-21yes https://rankdeterminant.com/v/phy-u13-ch7-c4https://rankdeterminant.com/media/v/phy-u13-ch7-c4.jpg?v=a5cc49b3d6-1a5cc7Part C: Concept Checks | JEE Physics (English)Seven magnetic effects of current concept checks for JEE, solved like a live class: can a magnetic field change kinetic energy, why a velocity selector ignores charge and mass, force and torque on a current loop in a uniform field, zero field inside a thin tube and outside a toroid, whether the cyclotron frequency depends on speed, and why parallel electron beams repel.https://rankdeterminant.com/media/v/phy-u13-ch7-c4.mp4?v=a5cc49b3d6-1a5cc74962026-10-21yes https://rankdeterminant.com/v/phy-u14-ch1-c1https://rankdeterminant.com/media/v/phy-u14-ch1-c1.jpg?v=55a119abb6-745418Magnetic Flux | JEE Physics (English)Magnetic flux for JEE: Φ = BA cos θ with θ measured from the normal and not the plane, the weber (1 Wb = 1 T m² = 1 V s), flux linkage NΦ for a coil, zero net flux through any closed surface, the flat-rim trick for curved surfaces, the flux of a long straight wire's field through a rectangle using the natural log, and two solved JEE-style problems, one with the classic angle trap.https://rankdeterminant.com/media/v/phy-u14-ch1-c1.mp4?v=55a119abb6-7454184772026-10-21yes https://rankdeterminant.com/v/phy-u14-ch1-c2https://rankdeterminant.com/media/v/phy-u14-ch1-c2.jpg?v=6b3395fba9-f87894Faraday's Law | JEE Physics (English)Faraday's law of electromagnetic induction for JEE Physics: the induced emf equals minus N times the rate of change of flux, the three ways the flux BA cos theta can change, why the charge that flows is N times the change in flux over R and does not depend on the time taken, and two solved problems: a rising field, and a coil flipped through 180 degrees.https://rankdeterminant.com/media/v/phy-u14-ch1-c2.mp4?v=6b3395fba9-f878944692026-10-21yes https://rankdeterminant.com/v/phy-u14-ch1-c3https://rankdeterminant.com/media/v/phy-u14-ch1-c3.jpg?v=52bd4eaee7-508781Lenz's Law | JEE Physics (English)Lenz's law explained for JEE: the induced current opposes the change in flux, not the flux itself. See why a coil repels an approaching magnet and attracts a receding one, why Lenz's law is conservation of energy, the three-step trick for the direction of induced current, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u14-ch1-c3.mp4?v=52bd4eaee7-5087814642026-10-21yes https://rankdeterminant.com/v/phy-u14-ch1-c4https://rankdeterminant.com/media/v/phy-u14-ch1-c4.jpg?v=569a28152f-53803aInduced Electric Field and Eddy Currents | JEE Physics (English)Induced electric field explained for JEE: why a changing magnetic field creates an electric field even in empty space, its closed loops and why no potential exists, the field inside and outside a cylindrical region, eddy currents with their uses and laminations, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u14-ch1-c4.mp4?v=569a28152f-53803a4802026-10-21yes https://rankdeterminant.com/v/phy-u14-ch2-c1https://rankdeterminant.com/media/v/phy-u14-ch2-c1.jpg?v=07234a5baf-a2f07eA Conductor Moving in a Magnetic Field | JEE Physics (English)Motional emf for JEE Physics: why a rod moving in a magnetic field develops an emf Bvl, the electric field vB inside it, which end is at the higher potential from v cross B, components when the directions are not perpendicular, the effective length of a bent wire, when there is no emf at all, and two solved problems including the emf between an aeroplane's wing tips.https://rankdeterminant.com/media/v/phy-u14-ch2-c1.mp4?v=07234a5baf-a2f07e5072026-10-21yes https://rankdeterminant.com/v/phy-u14-ch2-c2https://rankdeterminant.com/media/v/phy-u14-ch2-c2.jpg?v=470d1eb5aa-e05bc3A Rod Sliding on Rails | JEE Physics (English)A rod sliding on conducting rails, for JEE Physics: the emf Blv and the current Blv/R, which way the induced current flows by Lenz's law, the opposing magnetic force B²l²v/R, the energy balance Fv = I²R, the terminal velocity FR/B²l², the time constant mR/B²l² and the total stopping distance v₀τ, with two solved problems.https://rankdeterminant.com/media/v/phy-u14-ch2-c2.mp4?v=470d1eb5aa-e05bc34922026-10-21yes https://rankdeterminant.com/v/phy-u14-ch2-c3https://rankdeterminant.com/media/v/phy-u14-ch2-c3.jpg?v=08e3f9b2ed-bf1535Loops Moving Through a Field | JEE Physics (English)Motional emf for a loop crossing the edge of a uniform magnetic field: why only the length cut by the boundary matters, why no current flows when the loop is wholly inside, the plus, zero, minus emf for a loop crossing a field region, the current's direction from Lenz's law, and two solved problems, a square loop entering a field and a circular loop crossing a straight boundary.https://rankdeterminant.com/media/v/phy-u14-ch2-c3.mp4?v=08e3f9b2ed-bf15354732026-10-21yes https://rankdeterminant.com/v/phy-u14-ch2-c4https://rankdeterminant.com/media/v/phy-u14-ch2-c4.jpg?v=bdb0aafba7-282addRotating Conductors and the Generator | JEE Physics (English)The emf of a rod rotating about one end in a magnetic field, one half B omega l squared, from its average speed; the emf of a rotating disc and between two points of a rod; why a rod spinning about its centre gives zero between its ends; the AC generator emf N B A omega sin omega t and its peak; and two solved problems, a spoked wheel in the earth's field and a 100-turn generator.https://rankdeterminant.com/media/v/phy-u14-ch2-c4.mp4?v=bdb0aafba7-282add4842026-10-21yes https://rankdeterminant.com/v/phy-u14-ch3-c1https://rankdeterminant.com/media/v/phy-u14-ch3-c1.jpg?v=2ca4bedbd3-510342Self-Inductance | JEE Physics (English)Self-inductance from the start: flux linkage N phi = L I, the henry, the back emf -L dI/dt and why Lenz's law makes it oppose the change, the solenoid and toroid formulas, energy stored one half L I squared, magnetic energy density, the potential drop across an inductor, and two solved problems: a solenoid's inductance, and V_A - V_B for a rising and a falling current.https://rankdeterminant.com/media/v/phy-u14-ch3-c1.mp4?v=2ca4bedbd3-5103424912026-10-21yes https://rankdeterminant.com/v/phy-u14-ch3-c2https://rankdeterminant.com/media/v/phy-u14-ch3-c2.jpg?v=bec94451e3-82f140Mutual Inductance | JEE Physics (English)Mutual inductance from the start: flux linkage N2 phi2 = M I1, why M is the same whichever coil carries the current, the induced emf -M dI1/dt and Lenz's law, M for a coil on a long solenoid and for coplanar loops, the coupling coefficient k, coupled coils in series, the topper's trick for finding M, and two solved problems: a coil on a solenoid, and the peak emf in a large loop around a small one.https://rankdeterminant.com/media/v/phy-u14-ch3-c2.mp4?v=bec94451e3-82f1404672026-10-21yes https://rankdeterminant.com/v/phy-u14-ch3-c3https://rankdeterminant.com/media/v/phy-u14-ch3-c3.jpg?v=f7be724fc3-156391LR Circuits | JEE Physics (English)LR circuits from the start: growth of current i = (E/R)(1 - e^(-t/tau)), the time constant tau = L/R, the voltage across the coil, decay i = i0 e^(-t/tau), 63% and 37% in one time constant, the time to reach half or 90% of the final current, the inductor as an open circuit just after a switch and a plain wire in the steady state, the which-R trap, and two solved problems.https://rankdeterminant.com/media/v/phy-u14-ch3-c3.mp4?v=f7be724fc3-1563914682026-10-21yes https://rankdeterminant.com/v/phy-u14-ch3-c4https://rankdeterminant.com/media/v/phy-u14-ch3-c4.jpg?v=0bf1c7e3ca-3e80f1LC Oscillations | JEE Physics (English)LC oscillations from the start: the equation L d2q/dt2 + q/C = 0, the charge q = q0 cos(omega t + phi), omega = 1/root(LC), the maximum current omega q0 = V0 root(C/L), constant total energy with each form oscillating at 2f, the spring-mass analogy, damping, and two solved problems including capacitors in series.https://rankdeterminant.com/media/v/phy-u14-ch3-c4.mp4?v=0bf1c7e3ca-3e80f14762026-10-21yes https://rankdeterminant.com/v/phy-u14-ch4-c1https://rankdeterminant.com/media/v/phy-u14-ch4-c1.jpg?v=687622deb4-9c61b5Alternating Quantities | JEE Physics (English)Alternating voltage and current from the start: v = V0 sin(omega t), the peak value, angular frequency, frequency and period, the phase of the current, why the mean over a full cycle is zero, the mean over a half cycle 2I0/pi, the rms value I0/root 2 and why it measures heating, what 220 V AC really means, the rms of DC plus AC, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u14-ch4-c1.mp4?v=687622deb4-9c61b54762026-10-21yes https://rankdeterminant.com/v/phy-u14-ch4-c2https://rankdeterminant.com/media/v/phy-u14-ch4-c2.jpg?v=4e21e037b3-827505Resistor, Inductor and Capacitor on AC | JEE Physics (English)A resistor, a pure inductor and a pure capacitor on an AC source: reactances X_L = omega L and X_C = 1/(omega C), why the current is in phase, lags or leads by 90 degrees, phasor diagrams, zero average power in L and C, how reactance changes with frequency (L passes DC, C blocks DC), the CIVIL trick, and two solved problems with the classic omega trap.https://rankdeterminant.com/media/v/phy-u14-ch4-c2.mp4?v=4e21e037b3-8275055042026-10-21yes https://rankdeterminant.com/v/phy-u14-ch4-c3https://rankdeterminant.com/media/v/phy-u14-ch4-c3.jpg?v=4b8b6ef6a4-71ac6cSeries RL and RC Circuits | JEE Physics (English)Series RL and RC circuits on AC: why the same current flows through both elements, why the voltages 90 degrees apart add like perpendicular vectors, the impedance Z = root of R squared plus X squared, when the current lags or leads and tan phi, average power and the power factor cos phi = R/Z, the choke coil, the voltmeter trap, and two solved problems.https://rankdeterminant.com/media/v/phy-u14-ch4-c3.mp4?v=4b8b6ef6a4-71ac6c5042026-10-21yes https://rankdeterminant.com/v/phy-u14-ch5-c1https://rankdeterminant.com/media/v/phy-u14-ch5-c1.jpg?v=f2cb8bb793-a48d0fThe Series LCR Circuit | JEE Physics (English)The series LCR circuit from its phasor diagram: one common current, VR in phase, VL leading and VC lagging by 90 degrees, impedance Z = √(R² + (XL − XC)²), I = V/Z, tan φ = (XL − XC)/R, when the current leads or lags, resonance at XL = XC, why VL can exceed the source voltage, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u14-ch5-c1.mp4?v=f2cb8bb793-a48d0f4692026-10-21yes https://rankdeterminant.com/v/phy-u14-ch5-c2https://rankdeterminant.com/media/v/phy-u14-ch5-c2.jpg?v=15f1083eb0-35be72Resonance | JEE Physics (English)Resonance in a series LCR circuit: why it happens when XL equals XC, the resonant frequency 1/(2π√LC) and why it does not depend on R, Z = R and the greatest current, power factor 1, why VL and VC can be many times the source voltage, the quality factor Q, the half-power points and bandwidth, and two solved problems.https://rankdeterminant.com/media/v/phy-u14-ch5-c2.mp4?v=15f1083eb0-35be724732026-10-21yes https://rankdeterminant.com/v/phy-u14-ch5-c3https://rankdeterminant.com/media/v/phy-u14-ch5-c3.jpg?v=e7e88c8c3a-3ade6dPower in AC Circuits | JEE Physics (English)Average power in an AC circuit: P = V_rms I_rms cos phi = I_rms squared R, the power factor cos phi = R/Z, apparent power in volt-ampere, the wattless component I sin phi, why a pure inductor or capacitor uses no power, the half-power frequencies, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u14-ch5-c3.mp4?v=e7e88c8c3a-3ade6d4812026-10-22yes https://rankdeterminant.com/v/phy-u14-ch5-c4https://rankdeterminant.com/media/v/phy-u14-ch5-c4.jpg?v=5c8a1815a9-cae18dParallel Branches on AC | JEE Physics (English)Parallel branches on AC: why every branch has the same voltage, why the resistor, inductor and capacitor currents add as phasors, the total current I = root of I_R squared plus (I_C minus I_L) squared, impedance V/I and power factor I_R/I, why ideal L and C in parallel at omega = 1/root LC draw no source current, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u14-ch5-c4.mp4?v=5c8a1815a9-cae18d4552026-10-21yes https://rankdeterminant.com/v/phy-u14-ch5-c5https://rankdeterminant.com/media/v/phy-u14-ch5-c5.jpg?v=a48d8bed53-75b17fTransformers and Power Transmission | JEE Physics (English)How a transformer works by mutual induction and why it needs AC: the turns ratio Vs/Vp = Ns/Np, step-up and step-down, the ideal transformer VpIp = VsIs, efficiency and the four energy losses, why power is sent at high voltage to cut the I squared R line loss, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u14-ch5-c5.mp4?v=a48d8bed53-75b17f4872026-10-21yes https://rankdeterminant.com/v/phy-u14-ch6-c1https://rankdeterminant.com/media/v/phy-u14-ch6-c1.jpg?v=c7b873a5ea-1b42cfOverview | JEE Physics (English)How to use the electromagnetic induction and alternating current mixed problem sets for JEE Main: the question types, the tools for each set (Faraday's and Lenz's laws, motional emf, inductance, LR and LC circuits, reactance, impedance, resonance, power factor and the transformer) and two solved problems: the emf from a changing flux, and the source voltage of a series LCR circuit.https://rankdeterminant.com/media/v/phy-u14-ch6-c1.mp4?v=c7b873a5ea-1b42cf4952026-10-21yes https://rankdeterminant.com/v/phy-u14-ch6-c2https://rankdeterminant.com/media/v/phy-u14-ch6-c2.jpg?v=1994125710-c53e93Mixed Problems: Set 1 (Induction and Motional EMF) | JEE Physics (English)Mixed JEE Main-pattern problems on electromagnetic induction: Faraday's law with Lenz's law for the sign, the emf from a changing flux, the charge that flows whatever the time taken, motional emf B l v with the perpendicular condition, the emf across an aircraft's wings, and a rod on rails: induced current, the retarding force, and how far it slides before stopping.https://rankdeterminant.com/media/v/phy-u14-ch6-c2.mp4?v=1994125710-c53e935002026-10-21yes https://rankdeterminant.com/v/phy-u14-ch6-c3https://rankdeterminant.com/media/v/phy-u14-ch6-c3.jpg?v=2ce5ec2799-65ea39Mixed Problems: Set 2 (Inductance, LR and LC Circuits) | JEE Physics (English)JEE Main-pattern problems on inductance, LR and LC circuits: the back emf and self-inductance, the inductance of a solenoid, energy stored in a coil, mutual inductance and coupled coils in series, LR growth and decay with the time constant L/R, the inductor just after a switch and in the steady state, LC oscillations and the maximum current, with two solved problems.https://rankdeterminant.com/media/v/phy-u14-ch6-c3.mp4?v=2ce5ec2799-65ea395082026-10-21yes https://rankdeterminant.com/v/phy-u14-ch6-c4https://rankdeterminant.com/media/v/phy-u14-ch6-c4.jpg?v=7999abf802-fae59aMixed Problems: Set 3 (Alternating Current) | JEE Physics (English)Mixed JEE Main-pattern problems on alternating current: inductive and capacitive reactance with the unit conversions, who leads and who lags, impedance and phase angle of a series LCR circuit, rms values, average power and the power factor, apparent power, and a choke coil that lets a 120 V bulb run on 240 V mains, solved step by step with the common traps.https://rankdeterminant.com/media/v/phy-u14-ch6-c4.mp4?v=7999abf802-fae59a5172026-10-21yes https://rankdeterminant.com/v/phy-u14-ch7-c1https://rankdeterminant.com/media/v/phy-u14-ch7-c1.jpg?v=6c71b39fca-7078e4Overview | JEE Physics (English)How to use the electromagnetic induction and AC problem bank: Part A as a 30-minute JEE Main-level test after Chapters 1 to 6, Part B's JEE Advanced problems, Part C's concept checks (does a changing flux always drive a current, how an inductor behaves at switch-on), and two solved LR circuit problems that both lead to t = tau ln 2.https://rankdeterminant.com/media/v/phy-u14-ch7-c1.mp4?v=6c71b39fca-7078e44682026-10-21yes https://rankdeterminant.com/v/phy-u14-ch7-c2https://rankdeterminant.com/media/v/phy-u14-ch7-c2.jpg?v=1b5f84e895-c2dddePart A: JEE Main Level | JEE Physics (English)JEE Main level problems on electromagnetic induction and AC, solved step by step: Faraday's law for a 1000-turn coil (2 V) with Lenz's law for the direction, a rod sliding on rails (1 W), the peak of 230 V mains (325 V), why the charge through a coil (2 mC) does not depend on how fast you pull it, and a series LCR circuit (5 A, power factor 0.6, 600 W), with the traps.https://rankdeterminant.com/media/v/phy-u14-ch7-c2.mp4?v=1b5f84e895-c2ddde4692026-10-21yes https://rankdeterminant.com/v/phy-u14-ch7-c4https://rankdeterminant.com/media/v/phy-u14-ch7-c4.jpg?v=f406583ec0-0627efPart C: Concept Checks | JEE Physics (English)Eight electromagnetic induction and AC concept checks for JEE, solved like a live class: does a changing flux always give a current, does a loop sliding in a uniform field get one, is the induced electric field conservative, why a pure inductor or capacitor takes zero average power, what a transformer cannot change, why power travels at high voltage, an inductor on DC, and how the coil voltage in a series LCR circuit can exceed the supply.https://rankdeterminant.com/media/v/phy-u14-ch7-c4.mp4?v=f406583ec0-0627ef4742026-10-21yes https://rankdeterminant.com/v/phy-u15-ch1-c1https://rankdeterminant.com/media/v/phy-u15-ch1-c1.jpg?v=3f848b1af7-7422f2The Displacement Current | JEE Physics (English)Displacement current for JEE Physics: why Ampère's law fails for a charging capacitor, Maxwell's fix i_d = ε₀ dΦE/dt, the Ampère–Maxwell law, why the displacement current in the gap equals the conduction current in the wires, the fully charged capacitor trap, the AC amplitude ωCV₀, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u15-ch1-c1.mp4?v=3f848b1af7-7422f24992026-10-21yes https://rankdeterminant.com/v/phy-u15-ch1-c2https://rankdeterminant.com/media/v/phy-u15-ch1-c2.jpg?v=7a88b22898-9fe8c2Magnetic Field in a Charging Capacitor | JEE Physics (English)Magnetic field between the circular plates of a charging capacitor for JEE Physics: how the displacement current spreads uniformly over the plates, the Ampère–Maxwell law giving B = μ0 i r / 2πR² inside and μ0 i / 2πr outside, the dE/dt form, why B is zero on the axis and greatest at the edge, and two solved problems with the classic wire-formula trap.https://rankdeterminant.com/media/v/phy-u15-ch1-c2.mp4?v=7a88b22898-9fe8c25122026-10-21yes https://rankdeterminant.com/v/phy-u15-ch1-c3https://rankdeterminant.com/media/v/phy-u15-ch1-c3.jpg?v=f1f5157957-19ab5bConduction and Displacement Current in a Material | JEE Physics (English)Conduction and displacement current densities in a material carrying an alternating field: J c equals sigma E, J d equals epsilon times the rate of change of E, the 90 degree phase difference, the amplitude ratio sigma over epsilon omega, the instantaneous ratio with tan omega t, and two solved JEE-style problems on copper at 50 Hz and sea water.https://rankdeterminant.com/media/v/phy-u15-ch1-c3.mp4?v=f1f5157957-19ab5b4922026-10-22yes https://rankdeterminant.com/v/phy-u15-ch1-c4https://rankdeterminant.com/media/v/phy-u15-ch1-c4.jpg?v=e5ea38ece9-1394d7Maxwell's Equations | JEE Physics (English)Maxwell's four equations for JEE in plain English: Gauss's law for electricity and for magnetism, Faraday's law and the Ampère–Maxwell law, what each one means, why there are no magnetic monopoles, the term Maxwell added, why electromagnetic waves follow, and two solved problems, including the speed of light from mu naught and epsilon naught.https://rankdeterminant.com/media/v/phy-u15-ch1-c4.mp4?v=e5ea38ece9-1394d74882026-10-22yes https://rankdeterminant.com/v/phy-u15-ch2-c1https://rankdeterminant.com/media/v/phy-u15-ch2-c1.jpg?v=6fe2cd393c-096427Production and Nature of Electromagnetic Waves | JEE Physics (English)How electromagnetic waves are produced and what they look like: why only accelerated charges radiate, the circular motion trap, the LC circuit frequency, E and B perpendicular and in phase, transverse waves and polarisation, speed c in vacuum, no deflection by fields, and two solved JEE-style problems on wavelength and capacitance.https://rankdeterminant.com/media/v/phy-u15-ch2-c1.mp4?v=6fe2cd393c-0964274802026-10-22yes https://rankdeterminant.com/v/phy-u15-ch2-c2https://rankdeterminant.com/media/v/phy-u15-ch2-c2.jpg?v=740b20199a-e8309dThe Wave Equations | JEE Physics (English)How to read the plane electromagnetic wave equation E = E0 sin(kx − ωt): the wave number k = 2π/λ, the angular frequency ω = 2πν, the speed c = ω/k = νλ, the sign rule for the direction of travel, E0/B0 = E/B = c in vacuum, the ω/k trick to test for vacuum, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u15-ch2-c2.mp4?v=740b20199a-e8309d4662026-10-22yes https://rankdeterminant.com/v/phy-u15-ch2-c3https://rankdeterminant.com/media/v/phy-u15-ch2-c3.jpg?v=19771b06c1-519d46Directions of vec E, vec B and Propagation | JEE Physics (English)How to find the direction of the electric field, the magnetic field or the travel of an electromagnetic wave: the right-hand rule E hat cross B hat equals n hat, B = (1/c) n × E, E = c B × n, B = k × E / ω, the cyclic x-y-z shortcut, the sign traps, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u15-ch2-c3.mp4?v=19771b06c1-519d464632026-10-22yes https://rankdeterminant.com/v/phy-u15-ch2-c4https://rankdeterminant.com/media/v/phy-u15-ch2-c4.jpg?v=4d5dc3e68b-07bddcElectromagnetic Waves in a Medium | JEE Physics (English)Electromagnetic waves inside a medium: speed v equals c over root of mu r epsilon r, refractive index n, the non-magnetic case n equals root epsilon r, why the frequency stays the same while the wavelength becomes lambda naught over n, E0 over B0 equals v, the common traps, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u15-ch2-c4.mp4?v=4d5dc3e68b-07bddc4322026-10-22yes https://rankdeterminant.com/v/phy-u15-ch2-c5https://rankdeterminant.com/media/v/phy-u15-ch2-c5.jpg?v=ec8c678cce-cc23ffJEE Advanced, AIEEE and Earlier JEE Main Questions: Waves | JEE Physics (English)Past JEE Advanced, AIEEE and JEE Main questions on electromagnetic waves, solved step by step: polarisation and transverse waves, the directions of E, B and travel, refractive index from mu and epsilon, what changes when a wave enters a medium, E0 = cB0 with peak fields, the dimensions of E, B, mu0 and epsilon0, and why the square root of mu0 over epsilon0 comes out as 377 ohms.https://rankdeterminant.com/media/v/phy-u15-ch2-c5.mp4?v=ec8c678cce-cc23ff4752026-10-22yes https://rankdeterminant.com/v/phy-u15-ch3-c1https://rankdeterminant.com/media/v/phy-u15-ch3-c1.jpg?v=3e7ab6b14c-3d4b18Energy Density | JEE Physics (English)Energy density of an electromagnetic wave: the electric and magnetic energy densities ½ε0E² and B²/2μ0, why they are exactly equal in vacuum, the total ε0E², the average ½ε0E0² = ε0E²rms, the peak value, why the energy density at a point oscillates at twice the frequency of the wave, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u15-ch3-c1.mp4?v=3e7ab6b14c-3d4b185042026-10-22yes https://rankdeterminant.com/v/phy-u15-ch3-c2https://rankdeterminant.com/media/v/phy-u15-ch3-c2.jpg?v=fa5276451f-110f8cIntensity and the Poynting Vector | JEE Physics (English)Intensity of electromagnetic waves explained: I equals average u times c, the Poynting vector E cross B over mu naught, I in terms of E0, B0 and rms values, peak versus average, the 377 ohm shortcut, the inverse square law for a point source with E0 falling as 1 over r, and two solved JEE-style problems, including the electric field of sunlight.https://rankdeterminant.com/media/v/phy-u15-ch3-c2.mp4?v=fa5276451f-110f8c5032026-10-22yes https://rankdeterminant.com/v/phy-u15-ch3-c3https://rankdeterminant.com/media/v/phy-u15-ch3-c3.jpg?v=e02ee8493c-5af3acMomentum and Radiation Pressure | JEE Physics (English)Radiation pressure and the momentum of electromagnetic waves for JEE: why light with zero rest mass carries momentum U/c, pressure I/c on a perfect absorber and 2I/c on a perfect reflector, (1+r)I/c for partial reflection, force from power P/c and 2P/c, the 2I cos squared theta over c rule at an angle, and two solved problems with the common traps.https://rankdeterminant.com/media/v/phy-u15-ch3-c3.mp4?v=e02ee8493c-5af3ac5332026-10-22yes https://rankdeterminant.com/v/phy-u15-ch3-c4https://rankdeterminant.com/media/v/phy-u15-ch3-c4.jpg?v=b420779502-026ff1JEE Advanced, AIEEE and Earlier JEE Main Questions: Energy | JEE Physics (English)Past JEE Advanced and JEE Main questions on the energy of electromagnetic waves, solved step by step: equal electric and magnetic energy densities even in a medium, average energy density and intensity, rms values, a point source spreading over 4 pi r squared, the field amplitude from intensity, and the momentum U over c that a light pulse gives to an absorbing object.https://rankdeterminant.com/media/v/phy-u15-ch3-c4.mp4?v=b420779502-026ff14922026-10-22yes https://rankdeterminant.com/v/phy-u15-ch4-c1https://rankdeterminant.com/media/v/phy-u15-ch4-c1.jpg?v=d2b0d8886c-9ba1d2The Regions of the Spectrum | JEE Physics (English)The electromagnetic spectrum for JEE: why all EM waves travel at the same speed c in vacuum, the seven regions from radio waves to gamma rays with their wavelength ranges, sources and detectors, the order of wavelength, frequency and photon energy, the E = 1240/λ shortcut, and two solved problems with the common traps.https://rankdeterminant.com/media/v/phy-u15-ch4-c1.mp4?v=d2b0d8886c-9ba1d25212026-10-22yes https://rankdeterminant.com/v/phy-u15-ch4-c2https://rankdeterminant.com/media/v/phy-u15-ch4-c2.jpg?v=a036166ab3-64052dSources, Detection and Uses | JEE Physics (English)Uses, sources and detectors of every region of the electromagnetic spectrum for JEE: radio and TV bands, microwaves in radar and ovens, infrared heat waves and the greenhouse effect, ultraviolet and the ozone layer, X-rays and gamma rays in medicine, the atmospheric windows and the ionosphere, and two solved problems including a photon-energy numerical.https://rankdeterminant.com/media/v/phy-u15-ch4-c2.mp4?v=a036166ab3-64052d5332026-10-22yes https://rankdeterminant.com/v/phy-u15-ch4-c3https://rankdeterminant.com/media/v/phy-u15-ch4-c3.jpg?v=502202350e-dacb33AIEEE and Earlier JEE Main Questions: Spectrum | JEE Physics (English)Past AIEEE and JEE Main questions on the electromagnetic spectrum, solved step by step: the order of the regions by wavelength, frequency and photon energy, E = h nu, the 1240 over lambda trick, the source and detector of each region, why beta rays are not electromagnetic waves, and how to rank blue light, yellow light, X-rays and radio waves by energy per quantum.https://rankdeterminant.com/media/v/phy-u15-ch4-c3.mp4?v=502202350e-dacb334902026-10-22yes https://rankdeterminant.com/v/phy-u15-ch5-c1https://rankdeterminant.com/media/v/phy-u15-ch5-c1.jpg?v=205d371044-4c8589Overview | JEE Physics (English)How to use the electromagnetic waves mixed problem sets for JEE Main: three timed sets of twelve, the tools from each chapter (displacement current, E0 = cB0, waves in a medium, energy density, intensity, radiation pressure, the spectrum) and two solved problems: the field amplitude farther from a point source, and the electric field of a wave travelling along minus x.https://rankdeterminant.com/media/v/phy-u15-ch5-c1.mp4?v=205d371044-4c85895252026-10-22yes https://rankdeterminant.com/v/phy-u15-ch5-c2https://rankdeterminant.com/media/v/phy-u15-ch5-c2.jpg?v=7d4d1ea68e-29a7a6Set 1 | JEE Physics (English)A problem class on electromagnetic waves for JEE Main: displacement current from C dV/dt and when it is zero, E0 = cB0 in vacuum, the direction of B from E cross B with unit vectors, the intensity of a point source from P over 4πr², and the force of a laser on a mirror, 2P/c, with the trap in each one explained.https://rankdeterminant.com/media/v/phy-u15-ch5-c2.mp4?v=7d4d1ea68e-29a7a65112026-10-22yes https://rankdeterminant.com/v/phy-u15-ch5-c3https://rankdeterminant.com/media/v/phy-u15-ch5-c3.jpg?v=06fc16fea6-783b0cSet 2 | JEE Physics (English)Mixed JEE Main-pattern problems on electromagnetic waves: E0 = cB0 (not B0 = cE0), the direction of travel from the sign between omega t and kx, the direction of E from B cross n, the average energy density (1/2) epsilon0 E0 squared, intensity, radiation pressure I/c and 2I/c, and two solved problems: the energy in a vessel and writing E from a given B.https://rankdeterminant.com/media/v/phy-u15-ch5-c3.mp4?v=06fc16fea6-783b0c5182026-10-22yes https://rankdeterminant.com/v/phy-u15-ch5-c4https://rankdeterminant.com/media/v/phy-u15-ch5-c4.jpg?v=68f3834561-fa3dedSet 3 | JEE Physics (English)Electromagnetic waves problems in JEE Main style: wavelength and frequency from the wave number k, intensity from the rms electric field, average energy density I over c, why the field from a point source falls as 1/r, radiation pressure for absorbers, mirrors and partial reflectors, and a laser pulse that pushes a free mirror, with the classic traps.https://rankdeterminant.com/media/v/phy-u15-ch5-c4.mp4?v=68f3834561-fa3ded4972026-10-22yes https://rankdeterminant.com/v/phy-u15-ch6-c1https://rankdeterminant.com/media/v/phy-u15-ch6-c1.jpg?v=e0b110d356-b44dd1Overview | JEE Physics (English)How to use the electromagnetic waves problem bank: Part A at JEE Main level, Part B at JEE Advanced level, Part C concept checks (why a mirror feels twice the radiation pressure, why the push of sunlight is never noticed), and two solved problems: the intensity of a wave with a 30 V/m field amplitude, and the force and acceleration of a free, perfectly absorbing plate.https://rankdeterminant.com/media/v/phy-u15-ch6-c1.mp4?v=e0b110d356-b44dd14652026-10-22yes https://rankdeterminant.com/v/phy-u15-ch6-c2https://rankdeterminant.com/media/v/phy-u15-ch6-c2.jpg?v=a21233b538-864e3dPart A: JEE Main Level | JEE Physics (English)Part A of the electromagnetic waves problem bank, at JEE Main level: the displacement current from a changing electric flux, E0 = cB0 in vacuum and why E and B are in phase, the intensity I = ½ε0E0²c, why the field of a point source falls as 1/r and not 1/r² (the 16 : 1 trap), and the radiation force on a black solar panel.https://rankdeterminant.com/media/v/phy-u15-ch6-c2.mp4?v=a21233b538-864e3d4672026-10-22yes https://rankdeterminant.com/v/phy-u15-ch6-c4https://rankdeterminant.com/media/v/phy-u15-ch6-c4.jpg?v=aebdd09040-9f342cPart C: Concept Checks | JEE Physics (English)Eight electromagnetic waves concept checks for JEE, solved like a live class: why the displacement current was needed, why the waves need no medium and are not bent by a magnetic field, why frequency fixes the colour of light, why the electric field moves electrons far more than the magnetic field, an Earth with no atmosphere, why a mirror feels twice the radiation pressure, and why you never feel sunlight push.https://rankdeterminant.com/media/v/phy-u15-ch6-c4.mp4?v=aebdd09040-9f342c4902026-10-22yes https://rankdeterminant.com/v/phy-u16-ch1-c1https://rankdeterminant.com/media/v/phy-u16-ch1-c1.jpg?v=5c82cb28f0-2edf38Laws of Reflection and Plane Mirrors | JEE Physics (English)Laws of reflection for JEE Physics: angles measured from the normal, i = r, deviation 180° − 2i and the glancing-angle shortcut, a rotating mirror turns the reflected ray through 2θ, two inclined mirrors deviate a ray by 360° − 2θ, plane mirror image properties and image speed, the half-height mirror, the number of images n = 360°/θ, and two solved problems with the classic trap.https://rankdeterminant.com/media/v/phy-u16-ch1-c1.mp4?v=5c82cb28f0-2edf384792026-10-22yes https://rankdeterminant.com/v/phy-u16-ch1-c2https://rankdeterminant.com/media/v/phy-u16-ch1-c2.jpg?v=894fe0d6e7-080bcbSpherical Mirrors and the Mirror Formula | JEE Physics (English)Spherical mirrors made simple: pole, centre of curvature, focus and f = R/2, the sign convention from the pole, the mirror formula 1/v + 1/u = 1/f, magnification m = -v/u, the m = f/(f - u) shortcut, where a concave mirror forms each image, why a convex mirror always gives a small erect image, and two solved JEE-style problems with the classic sign traps.https://rankdeterminant.com/media/v/phy-u16-ch1-c2.mp4?v=894fe0d6e7-080bcb4902026-10-22yes https://rankdeterminant.com/v/phy-u16-ch1-c3https://rankdeterminant.com/media/v/phy-u16-ch1-c3.jpg?v=af06d45402-e25b13Size and Speed of the Image | JEE Physics (English)Longitudinal magnification and the speed of the image in a spherical mirror: differentiate the mirror formula to get dv/du = -m^2, image length m^2 b for a short object along the axis, area magnified m^2 times, image velocity -m^2 times the object velocity along the axis and m times across it, the long-rod trap, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u16-ch1-c3.mp4?v=af06d45402-e25b134832026-10-22yes https://rankdeterminant.com/v/phy-u16-ch1-c5https://rankdeterminant.com/media/v/phy-u16-ch1-c5.jpg?v=866b0da5a0-f1618bAIEEE Questions: Reflection | JEE Physics (English)Two AIEEE questions on reflection, solved step by step: how many images two plane mirrors at 60 degrees form (n = 360/θ, with the even, odd and non-integer cases), the mirror sign convention, the m = f/(f − u) shortcut, and how fast the image of an overtaking car moves in a convex side-view mirror, with the classic m versus m squared trap.https://rankdeterminant.com/media/v/phy-u16-ch1-c5.mp4?v=866b0da5a0-f1618b4692026-10-22yes https://rankdeterminant.com/v/phy-u16-ch2-c1https://rankdeterminant.com/media/v/phy-u16-ch2-c1.jpg?v=09c1d18842-72e07dSnell's Law and Refractive Index | JEE Physics (English)Snell's law and refractive index for JEE Physics: n = c/v, why the frequency (and so the colour) stays fixed while speed and wavelength fall by the factor n, the relative refractive index, bending towards or away from the normal, deviation |i − r|, n sin θ constant through parallel layers, optical path nt and time nt/c, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch2-c1.mp4?v=09c1d18842-72e07d4712026-10-22yes https://rankdeterminant.com/v/phy-u16-ch2-c2https://rankdeterminant.com/media/v/phy-u16-ch2-c2.jpg?v=8ed18bcc3c-46240fApparent Depth and the Glass Slab | JEE Physics (English)Why a pool looks shallower than it is: apparent depth d/n for viewing near the normal, how far the object seems raised, objects under several layers, an object in air seen from under water, the one rule apparent = real × n(observer)/n(object), the normal shift t(1 − 1/n) of a glass slab, lateral shift, and two solved problems including the classic fish and bird question.https://rankdeterminant.com/media/v/phy-u16-ch2-c2.mp4?v=8ed18bcc3c-46240f4982026-10-22yes https://rankdeterminant.com/v/phy-u16-ch2-c3https://rankdeterminant.com/media/v/phy-u16-ch2-c3.jpg?v=0a26b83eeb-a5424aTotal Internal Reflection | JEE Physics (English)Total internal reflection explained step by step: why light going from a denser to a rarer medium bends away from the normal, the critical angle sin θc = n2/n1 (1/n in air), the two conditions, the circle of light r = h/√(n²−1) above an underwater source, 45°–90°–45° prisms, optical fibres, and two solved JEE-style problems with the classic 1/n trap.https://rankdeterminant.com/media/v/phy-u16-ch2-c3.mp4?v=0a26b83eeb-a5424a5182026-10-22yes https://rankdeterminant.com/v/phy-u16-ch2-c4https://rankdeterminant.com/media/v/phy-u16-ch2-c4.jpg?v=53874c97ef-386440Refraction through a Prism | JEE Physics (English)Refraction through a prism made simple: r1 + r2 = A and deviation δ = i + e − A, why the deviation has a minimum when i = e, the prism formula n = sin((A + δm)/2) / sin(A/2), thin prisms with δ = (n − 1)A, a prism in a liquid, when no light can emerge (A > 2θc), maximum deviation at grazing incidence, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch2-c4.mp4?v=53874c97ef-3864405332026-10-22yes https://rankdeterminant.com/v/phy-u16-ch2-c6https://rankdeterminant.com/media/v/phy-u16-ch2-c6.jpg?v=42e0ae0671-025291AIEEE and Earlier JEE Main Questions: Refraction | JEE Physics (English)Two past refraction questions from AIEEE 2009 and JEE Main 2015, solved step by step: the critical angle and total internal reflection, a ray grazing along the wall of a glass rod, the prism relation r1 + r2 = A, and the range of angles of incidence for which light gets out through the second face of a prism, with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch2-c6.mp4?v=42e0ae0671-0252914912026-10-22yes https://rankdeterminant.com/v/phy-u16-ch3-c1https://rankdeterminant.com/media/v/phy-u16-ch3-c1.jpg?v=7d6e14cc98-148fb0Refraction at a Spherical Surface | JEE Physics (English)Refraction at a single spherical surface made simple: n2/v - n1/u = (n2 - n1)/R, the sign convention from the pole, why the sign of R follows the direction of the light and not the shape, the magnification m = n1v/n2u, the plane-surface apparent depth result, and two solved JEE-style problems, including the glass ball resting on a dot.https://rankdeterminant.com/media/v/phy-u16-ch3-c1.mp4?v=7d6e14cc98-148fb04762026-10-22yes https://rankdeterminant.com/v/phy-u16-ch3-c2https://rankdeterminant.com/media/v/phy-u16-ch3-c2.jpg?v=5556217bd7-d5e764The Lens Maker's Formula | JEE Physics (English)The lens maker's formula for a thin lens, explained with the sign convention for R1 and R2, equiconvex and plano-convex lenses, power in dioptres, cutting a lens along or across the axis, and a lens immersed in a liquid, where a convex lens can diverge. Two solved problems: a biconcave lens and a glass lens in a liquid of index 1.6.https://rankdeterminant.com/media/v/phy-u16-ch3-c2.mp4?v=5556217bd7-d5e7644822026-10-22yes https://rankdeterminant.com/v/phy-u16-ch3-c3https://rankdeterminant.com/media/v/phy-u16-ch3-c3.jpg?v=36c908e3e7-792370The Thin Lens Formula and Magnification | JEE Physics (English)The thin lens formula 1/v - 1/u = 1/f with the sign convention, magnification m = v/u and what its sign tells you, where a convex lens puts the image, the least object-image distance 4f, and the displacement method f = (D² - d²)/4D, with two solved JEE-style problems and the common sign traps.https://rankdeterminant.com/media/v/phy-u16-ch3-c3.mp4?v=36c908e3e7-7923705012026-10-22yes https://rankdeterminant.com/v/phy-u16-ch3-c4https://rankdeterminant.com/media/v/phy-u16-ch3-c4.jpg?v=0bc9d7158d-1302a2Combinations of Lenses and Mirrors | JEE Physics (English)Combinations of lenses and mirrors made simple: thin lenses in contact (1/F = 1/f1 + 1/f2, powers add, magnifications multiply), two lenses a distance d apart, when a parallel beam emerges parallel (d = f1 + f2), the step-by-step method, and the silvered lens P = 2PL + PM with F = -1/P, plus two solved JEE-style problems with the classic sign traps.https://rankdeterminant.com/media/v/phy-u16-ch3-c4.mp4?v=0bc9d7158d-1302a24862026-10-22yes https://rankdeterminant.com/v/phy-u16-ch3-c5https://rankdeterminant.com/media/v/phy-u16-ch3-c5.jpg?v=9d4c5c7fd2-7d4cc8JEE Advanced Questions (2010–2018): Lenses | JEE Physics (English)Two past IIT-JEE questions on lenses, solved step by step: the thin lens formula and its sign convention, the lens maker's formula for a plano-convex lens, two plano-convex lenses of different glass in contact (IIT-JEE 2012), and a convex lens in front of a plane mirror, where the returning light meets the lens again as a virtual object (IIT-JEE 2010), with the classic sign traps.https://rankdeterminant.com/media/v/phy-u16-ch3-c5.mp4?v=9d4c5c7fd2-7d4cc84762026-10-22yes https://rankdeterminant.com/v/phy-u16-ch3-c6https://rankdeterminant.com/media/v/phy-u16-ch3-c6.jpg?v=0fe3037581-0c6090IIT-JEE Questions (1978–2006): Lenses | JEE Physics (English)Two past IIT-JEE questions on lenses, solved step by step: the thin lens formula with its sign convention, magnification m = f/(f+u), powers adding for a convex and a concave lens in contact (IIT-JEE 2005), and an object moving towards a convex lens, where the image moves m squared times as fast and the magnification changes with time (IIT-JEE 2004), with the classic sign traps.https://rankdeterminant.com/media/v/phy-u16-ch3-c6.mp4?v=0fe3037581-0c60904722026-10-22yes https://rankdeterminant.com/v/phy-u16-ch3-c7https://rankdeterminant.com/media/v/phy-u16-ch3-c7.jpg?v=95bc02b3c2-7fef13AIEEE and Earlier JEE Main Questions: Lenses | JEE Physics (English)Two past AIEEE questions on the power of a lens, solved step by step: power in dioptres with the focal length in metres, the sign convention, powers adding for thin lenses in contact (AIEEE 2007), and the lens maker's formula in a liquid, where a diverging lens of minus five dioptres becomes converging (AIEEE 2005), with the classic unit and sign traps.https://rankdeterminant.com/media/v/phy-u16-ch3-c7.mp4?v=95bc02b3c2-7fef134812026-10-22yes https://rankdeterminant.com/v/phy-u16-ch4-c1https://rankdeterminant.com/media/v/phy-u16-ch4-c1.jpg?v=0118a03d59-73a05eDispersion | JEE Physics (English)Why a glass prism splits white light: refractive index depends on wavelength (Cauchy's relation), so violet deviates more than red. Mean deviation, angular dispersion and dispersive power of a thin prism, achromatic and direct-vision prism pairs, and two solved JEE problems on crown and flint glass with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch4-c1.mp4?v=0118a03d59-73a05e5102026-10-22yes https://rankdeterminant.com/v/phy-u16-ch4-c2https://rankdeterminant.com/media/v/phy-u16-ch4-c2.jpg?v=301da21cca-9a4358Microscopes | JEE Physics (English)Magnifying power of a simple microscope (1 + D/f with the image at the near point, D/f at infinity) and of a compound microscope, M = m_o m_e ≈ (L/f_o)(D/f_e), with the lens sign convention, why the final image is inverted, tube length, the lens separation trap, and two solved JEE-style problems: a magnifying glass and a microscope with M = -60.https://rankdeterminant.com/media/v/phy-u16-ch4-c2.mp4?v=301da21cca-9a43585122026-10-22yes https://rankdeterminant.com/v/phy-u16-ch4-c3https://rankdeterminant.com/media/v/phy-u16-ch4-c3.jpg?v=d42193d80a-e647f2Telescopes | JEE Physics (English)How an astronomical telescope works: the objective and the eyepiece, magnifying power and tube length in normal adjustment, the formulas for the final image at the near point (25 cm), why the image is inverted, terrestrial, Galilean and reflecting telescopes, why a bigger objective gives more light but not more magnification, and two solved problems.https://rankdeterminant.com/media/v/phy-u16-ch4-c3.mp4?v=d42193d80a-e647f24892026-10-22yes https://rankdeterminant.com/v/phy-u16-ch4-c4https://rankdeterminant.com/media/v/phy-u16-ch4-c4.jpg?v=eea53d934d-ae2a4eIIT-JEE Questions: Dispersion and Instruments | JEE Physics (English)Two past IIT-JEE questions on dispersion, solved step by step: Cauchy's relation and why violet has the larger refractive index, the critical angle for each colour and which colours escape when green is just totally reflected (IIT-JEE 2004), and a crown and flint thin prism pair with no mean deviation, its flint prism angle and net dispersion (IIT-JEE 2001), with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch4-c4.mp4?v=eea53d934d-ae2a4e5062026-10-22yes https://rankdeterminant.com/v/phy-u16-ch4-c5https://rankdeterminant.com/media/v/phy-u16-ch4-c5.jpg?v=f599e86850-e1ea57AIEEE and Earlier JEE Main Questions: Dispersion and Instruments | JEE Physics (English)Two past JEE Main optics questions solved step by step: why a telescope of magnifying power 20 makes a distant tree look 20 times nearer, and which colours escape from water when green light meets the surface at its critical angle. Also refractive index and wavelength, minimum deviation of a prism, the two conditions for total internal reflection, and the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch4-c5.mp4?v=f599e86850-e1ea575022026-10-22yes https://rankdeterminant.com/v/phy-u16-ch5-c1https://rankdeterminant.com/media/v/phy-u16-ch5-c1.jpg?v=2a56b716c7-860583Wavefronts and Huygens' Principle | JEE Physics (English)What a wavefront is, why point, line and distant sources give spherical, cylindrical and plane wavefronts, Huygens' secondary wavelets and the forward envelope, Snell's law from Huygens' construction, why light is slower in a denser medium, frequency and wavelength on refraction, and two solved JEE problems on refracted wavefronts and beam width.https://rankdeterminant.com/media/v/phy-u16-ch5-c1.mp4?v=2a56b716c7-8605835012026-10-22yes https://rankdeterminant.com/v/phy-u16-ch5-c2https://rankdeterminant.com/media/v/phy-u16-ch5-c2.jpg?v=ea76b304d2-5b5424Superposition and Coherence | JEE Physics (English)How two light waves add at a point: the resultant intensity with its cross term, maximum and minimum intensity, phase difference from path difference, 4 I0 cos squared for equal waves, the amplitude ratio formula, and why two independent lamps are not coherent. Two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch5-c2.mp4?v=ea76b304d2-5b54244412026-10-22yes https://rankdeterminant.com/v/phy-u16-ch5-c3https://rankdeterminant.com/media/v/phy-u16-ch5-c3.jpg?v=f563092b40-113ac8Young's Double-Slit Experiment | JEE Physics (English)Young's double-slit experiment for JEE: the path difference y d over D, positions of bright and dark fringes, fringe width beta = lambda D / d, the classic dark-fringe trap, angular fringe width, fringes in a liquid, intensity 4 I0 cos squared, the highest order, two wavelengths and white-light fringes, with two solved course problems.https://rankdeterminant.com/media/v/phy-u16-ch5-c3.mp4?v=f563092b40-113ac85002026-10-22yes https://rankdeterminant.com/v/phy-u16-ch5-c4https://rankdeterminant.com/media/v/phy-u16-ch5-c4.jpg?v=185bc09713-d96640Shift of Fringes and Thin Films | JEE Physics (English)How a thin transparent sheet over one slit shifts the double-slit pattern towards the covered slit by (mu - 1)t over lambda fringes, with the fringe width unchanged; and how thin films make colours: path difference 2 mu t cos r, the half-wavelength phase change at a denser medium, the bright and dark conditions, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch5-c4.mp4?v=185bc09713-d966404842026-10-22yes https://rankdeterminant.com/v/phy-u16-ch5-c6https://rankdeterminant.com/media/v/phy-u16-ch5-c6.jpg?v=5fc765ea41-344c2bAIEEE and Earlier JEE Main Questions: Interference | JEE Physics (English)Past interference questions from AIEEE 2003, AIEEE 2009 and JEE Main 2017, solved step by step: why interference needs coherent sources, bright fringe positions n lambda D over d, fringe width, and where the bright fringes of two wavelengths coincide, n1 lambda1 = n2 lambda2, with the order-swap trap and the units trap.https://rankdeterminant.com/media/v/phy-u16-ch5-c6.mp4?v=5fc765ea41-344c2b4632026-10-22yes https://rankdeterminant.com/v/phy-u16-ch6-c1https://rankdeterminant.com/media/v/phy-u16-ch6-c1.jpg?v=e790c8063c-d7f205Diffraction at a Single Slit | JEE Physics (English)Diffraction at a single slit, step by step: when bending is noticeable, the minima condition a sin theta = n lambda, the secondary maxima, the angular and linear width of the central maximum (2 lambda D over a), the intensity ratios, why a narrower slit gives a wider but dimmer pattern, interference versus diffraction, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch6-c1.mp4?v=e790c8063c-d7f2054992026-10-22yes https://rankdeterminant.com/v/phy-u16-ch6-c2https://rankdeterminant.com/media/v/phy-u16-ch6-c2.jpg?v=8a958d8b42-cd6ba8Resolving Power | JEE Physics (English)Why two far-away headlights look like one light: Rayleigh's criterion, the limit of resolution of a telescope (1.22 lambda over D), the microscope formula with numerical aperture n sin beta, how oil immersion, a shorter wavelength and the electron microscope raise the resolving power, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch6-c2.mp4?v=8a958d8b42-cd6ba84952026-10-22yes https://rankdeterminant.com/v/phy-u16-ch6-c3https://rankdeterminant.com/media/v/phy-u16-ch6-c3.jpg?v=6164094013-c8bd27Polarisation | JEE Physics (English)Why a third polaroid between two crossed ones lets light through: unpolarised and plane-polarised light, the half-intensity rule for one polaroid, Malus's law I cos squared theta, crossed polaroids, the I0/8 sin squared 2 theta result, polarisation by reflection with Brewster's law tan iB = n, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch6-c3.mp4?v=6164094013-c8bd274972026-10-22yes https://rankdeterminant.com/v/phy-u16-ch6-c4https://rankdeterminant.com/media/v/phy-u16-ch6-c4.jpg?v=35bd65aff3-7d9259IIT-JEE, AIEEE and Earlier JEE Main Questions: Diffraction and Polarisation | JEE Physics (English)Past JEE Main questions on diffraction and polarisation, solved step by step: single-slit minima a sin theta = n lambda, the angular width of the central maximum and the half-angle trap, unpolarised light through a polaroid, Malus's law and crossed polaroids, then the JEE Main 2013 two-polaroid question and the JEE Main 2018 single slit plus Young's double slit question.https://rankdeterminant.com/media/v/phy-u16-ch6-c4.mp4?v=35bd65aff3-7d92595022026-10-22yes https://rankdeterminant.com/v/phy-u16-ch7-c1https://rankdeterminant.com/media/v/phy-u16-ch7-c1.jpg?v=7e8820108d-07ae7bOverview | JEE Physics (English)How to attack the mixed optics problems of JEE Main: thirty minutes for fifteen problems, the sign convention for mirrors and lenses, the plus and minus in the mirror and lens formulas, total internal reflection, the prism, fringe width and dark fringes, single-slit minima, Malus and Brewster, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u16-ch7-c1.mp4?v=7e8820108d-07ae7b4982026-10-22yes https://rankdeterminant.com/v/phy-u16-ch7-c2https://rankdeterminant.com/media/v/phy-u16-ch7-c2.jpg?v=f52a0da507-8a51d0Set 1 | JEE Physics (English)A problem class on mirrors for JEE Main optics: the image in a plane mirror, the shortest mirror for a full view (half your height), the sign convention, the mirror formula 1/v + 1/u = 1/f, and the one-line trick m = f/(f - u) for concave and convex mirrors, with the sign trap in each problem explained.https://rankdeterminant.com/media/v/phy-u16-ch7-c2.mp4?v=f52a0da507-8a51d04672026-10-22yes https://rankdeterminant.com/v/phy-u16-ch7-c3https://rankdeterminant.com/media/v/phy-u16-ch7-c3.jpg?v=b44d969e62-415f74Set 2 | JEE Physics (English)Mixed JEE Main-pattern optics problems, Set 2: the images in two parallel plane mirrors, the sign convention, the mirror formula 1/v + 1/u = 1/f, the magnification m = f/(f - u), why the image of an object moving along the axis moves m squared times as fast and in the opposite direction, and two solved problems: a concave mirror image on a screen, and the speed of an image.https://rankdeterminant.com/media/v/phy-u16-ch7-c3.mp4?v=b44d969e62-415f744792026-10-22yes https://rankdeterminant.com/v/phy-u16-ch7-c4https://rankdeterminant.com/media/v/phy-u16-ch7-c4.jpg?v=632ba251e8-be41a8Set 3 | JEE Physics (English)Mixed optics problems in JEE Main style, solved step by step: signs in the mirror formula for a virtual image, two wavelengths whose bright fringes coincide in a double-slit experiment, the circle of sky a diver sees through the critical angle, and a two-lens system, with the classic traps in the sign of v, in u for the second lens and in the total magnification.https://rankdeterminant.com/media/v/phy-u16-ch7-c4.mp4?v=632ba251e8-be41a84912026-10-22yes https://rankdeterminant.com/v/phy-u16-ch8-c1https://rankdeterminant.com/media/v/phy-u16-ch8-c1.jpg?v=206ef3c6da-3192b8Overview | JEE Physics (English)How to use the optics problem bank: Part A at JEE Main level, Part B at JEE Advanced level, Part C concept checks (why an air bubble in glass is a diverging lens), and two solved problems: the image of a 4 cm object 18 cm from a concave mirror of focal length 12 cm, and a concave mirror with a glass slab between the object and the mirror, with the sign trap and the second-crossing trap.https://rankdeterminant.com/media/v/phy-u16-ch8-c1.mp4?v=206ef3c6da-3192b84842026-10-22yes https://rankdeterminant.com/v/phy-u16-ch8-c2https://rankdeterminant.com/media/v/phy-u16-ch8-c2.jpg?v=a4ae031354-898f8fPart A: JEE Main Level | JEE Physics (English)JEE Main-level optics problems from the unit problem bank, solved step by step with one sign convention: a concave mirror image (36 cm in front, 8 cm high, inverted), a convex mirror's focal length (20 cm, not 12), a concave lens image (8 cm, virtual, m = 1/3) and a convex lens image on a screen (f = 20 cm, m = -4), with the sign and unit traps.https://rankdeterminant.com/media/v/phy-u16-ch8-c2.mp4?v=a4ae031354-898f8f5242026-10-22yes https://rankdeterminant.com/v/phy-u16-ch8-c4https://rankdeterminant.com/media/v/phy-u16-ch8-c4.jpg?v=3fbf546b80-0d8fb3Part C: Concept Checks | JEE Physics (English)Eight optics concept checks for JEE, solved like a live class: why a convex mirror is the rear-view mirror, why water changes a lens but not a mirror, how a convex lens can diverge light, why there is no total internal reflection from air into glass, the white central fringe, closing one slit, the air bubble in glass, and what wider slits do to Young's fringes.https://rankdeterminant.com/media/v/phy-u16-ch8-c4.mp4?v=3fbf546b80-0d8fb35172026-10-22yes https://rankdeterminant.com/v/phy-u17-ch1-c1https://rankdeterminant.com/media/v/phy-u17-ch1-c1.jpg?v=a8de70d521-83b097The Photon | JEE Physics (English)What a photon is and how to find its energy and momentum for JEE Physics: E = hν = hc/λ, p = h/λ = E/c, the 1240 eV nm shortcut, why a brighter beam has more photons but not more energetic ones, why photon energy stays the same in glass, and two solved problems: a photon's energy in joules and electron volts, and the recoil speed of a sodium atom that emits a photon.https://rankdeterminant.com/media/v/phy-u17-ch1-c1.mp4?v=a8de70d521-83b0975042026-10-22yes https://rankdeterminant.com/v/phy-u17-ch1-c2https://rankdeterminant.com/media/v/phy-u17-ch1-c2.jpg?v=92cb07cb39-4ae234Counting Photons | JEE Physics (English)How to count photons: N = P/hν = Pλ/hc photons per second, why a red lamp gives more photons than a blue lamp of the same power, photon flux I/hν, a point source spreading over 4πr², photons per unit volume, the force of light P/c and 2P/c, and two solved JEE-style problems with the unit-conversion traps.https://rankdeterminant.com/media/v/phy-u17-ch1-c2.mp4?v=92cb07cb39-4ae2344992026-10-22yes https://rankdeterminant.com/v/phy-u17-ch1-c3https://rankdeterminant.com/media/v/phy-u17-ch1-c3.jpg?v=9770b6f63b-4e41f5Electron Emission and the Work Function | JEE Physics (English)What the work function of a metal is, the three ways to free an electron (thermionic, field and photoelectric emission), why no electrons leave below the threshold frequency however bright the light, the 1240 eV nm shortcut for the threshold wavelength, and two solved problems: caesium's threshold frequency and wavelength, and which of sodium, copper and platinum responds to visible light.https://rankdeterminant.com/media/v/phy-u17-ch1-c3.mp4?v=9770b6f63b-4e41f55052026-10-22yes https://rankdeterminant.com/v/phy-u17-ch1-c4https://rankdeterminant.com/media/v/phy-u17-ch1-c4.jpg?v=add54f82ba-517528AIEEE Questions: Photons | JEE Physics (English)How can a photon carry momentum when its rest mass is zero? Photon energy E = h nu = hc/lambda, momentum p = h nu/c = h/lambda = E/c, why brighter light means more photons and not more energetic ones, momentum conservation when a photon is reflected or emitted, and two solved problems: the AIEEE 2007 photon momentum question and the recoil speed of a sodium atom.https://rankdeterminant.com/media/v/phy-u17-ch1-c4.mp4?v=add54f82ba-5175284572026-10-22yes https://rankdeterminant.com/v/phy-u17-ch2-c1https://rankdeterminant.com/media/v/phy-u17-ch2-c1.jpg?v=b927584629-891da2The Experimental Facts | JEE Physics (English)Why can a dim light knock out electrons that a bright light cannot? The experimental facts of the photoelectric effect: the apparatus, photocurrent proportional to intensity, saturation current, stopping potential with K max = eV0, threshold frequency, no time lag, why the wave theory of light fails, and two solved problems on the stopping potential and the maximum speed of photoelectrons.https://rankdeterminant.com/media/v/phy-u17-ch2-c1.mp4?v=b927584629-891da25092026-10-22yes https://rankdeterminant.com/v/phy-u17-ch2-c2https://rankdeterminant.com/media/v/phy-u17-ch2-c2.jpg?v=ffe91348f5-29fd59Einstein's Photoelectric Equation | JEE Physics (English)Einstein's photoelectric equation K max = h nu - phi naught explained: one photon, one electron, work function, threshold frequency, stopping potential e V naught, why intensity changes the number of electrons but not their energy, the 1240 over lambda electron volt shortcut, the doubling-frequency trap, and two solved problems including the threshold wavelength from two stopping potentials.https://rankdeterminant.com/media/v/phy-u17-ch2-c2.mp4?v=ffe91348f5-29fd595032026-10-22yes https://rankdeterminant.com/v/phy-u17-ch2-c4https://rankdeterminant.com/media/v/phy-u17-ch2-c4.jpg?v=ca78b52319-935585AIEEE and Earlier JEE Main Questions: Photoelectric Equation | JEE Physics (English)Einstein's photoelectric equation h nu = phi0 + Kmax with Kmax = eV0, the threshold frequency, why intensity changes the number of electrons but not their energy, the 1240 eV nm shortcut, the AIEEE 2011 trap (linear is not proportional), and two solved questions: AIEEE 2006 (which region of the spectrum?) and JEE Main 2016 (speed when the wavelength becomes 3/4 of its value).https://rankdeterminant.com/media/v/phy-u17-ch2-c4.mp4?v=ca78b52319-9355855152026-10-22yes https://rankdeterminant.com/v/phy-u17-ch3-c1https://rankdeterminant.com/media/v/phy-u17-ch3-c1.jpg?v=c4d364855c-31ba2aThe Graphs of the Experiment | JEE Physics (English)Photoelectric effect graphs explained: photocurrent against collector potential for different intensities and frequencies, saturation current, stopping potential against frequency with slope h over e, threshold frequency and work function from the intercepts, K max against frequency, V naught against 1 over lambda and wavelength, and two solved problems, including the stopping potential ratio for two metals.https://rankdeterminant.com/media/v/phy-u17-ch3-c1.mp4?v=c4d364855c-31ba2a5012026-10-22yes https://rankdeterminant.com/v/phy-u17-ch3-c2https://rankdeterminant.com/media/v/phy-u17-ch3-c2.jpg?v=ed36f4bb1b-118fd0Photocurrent, Efficiency and the Photocell | JEE Physics (English)How the saturation current in the photoelectric effect is found by counting photons: i = eta N e = eta P lambda e over h c, quantum efficiency, the inverse-square law for a point source, why the same power at a higher frequency gives a smaller current but a larger stopping potential, the photocell and its uses, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u17-ch3-c2.mp4?v=ed36f4bb1b-118fd05042026-10-22yes https://rankdeterminant.com/v/phy-u17-ch3-c3https://rankdeterminant.com/media/v/phy-u17-ch3-c3.jpg?v=4f3070d547-dba9cdIsolated Conductors and Other Applications | JEE Physics (English)Why an isolated metal sphere under light charges up positive and stops emitting at the stopping potential (e V final = K max = h nu minus phi naught), its charge q = 4 pi epsilon naught r V, the number of electrons lost, the zinc plate and electroscope, the intensity trap, and two solved problems: the final potential, and how long the emission lasts.https://rankdeterminant.com/media/v/phy-u17-ch3-c3.mp4?v=4f3070d547-dba9cd5132026-10-22yes https://rankdeterminant.com/v/phy-u17-ch3-c4https://rankdeterminant.com/media/v/phy-u17-ch3-c4.jpg?v=c3c9ebd6c6-984f70JEE Advanced Questions (2011–2018): Graphs and Applications | JEE Physics (English)Stopping potential against frequency, against wavelength and against one over wavelength, why the slope h/e is the same for every metal, finding Planck's constant from stopping-potential readings (JEE Advanced 2016), and the force of photoelectrons on an anode (JEE Advanced 2018), solved step by step with the common traps.https://rankdeterminant.com/media/v/phy-u17-ch3-c4.mp4?v=c3c9ebd6c6-984f705382026-10-22yes https://rankdeterminant.com/v/phy-u17-ch3-c5https://rankdeterminant.com/media/v/phy-u17-ch3-c5.jpg?v=fdda802e33-c6619bIIT-JEE Questions (1989–2009): Graphs and Applications | JEE Physics (English)Past IIT-JEE questions (1989–2009) on photoelectric graphs and the photocell: why the frequency sets the stopping potential and the intensity sets the saturation current, why the current from a point source falls as one over r squared, the 1240 over lambda shortcut in electron volt, and two solved problems: a lamp moved three times farther, and three plates lit by light of three wavelengths.https://rankdeterminant.com/media/v/phy-u17-ch3-c5.mp4?v=fdda802e33-c6619b5312026-10-22yes https://rankdeterminant.com/v/phy-u17-ch3-c6https://rankdeterminant.com/media/v/phy-u17-ch3-c6.jpg?v=f66ea9a3d5-547964AIEEE Questions: Graphs and Applications | JEE Physics (English)Two AIEEE questions on photoelectric graphs and the photocell, solved step by step: the graph of K max against frequency from Einstein's equation (slope h, cutting the frequency axis at the threshold frequency, negative intercept), and how moving a small source closer changes the number of photoelectrons through the inverse-square law, with the classic traps.https://rankdeterminant.com/media/v/phy-u17-ch3-c6.mp4?v=f66ea9a3d5-5479645252026-10-22yes https://rankdeterminant.com/v/phy-u17-ch4-c1https://rankdeterminant.com/media/v/phy-u17-ch4-c1.jpg?v=b7468d5c1c-9e086cThe de Broglie Wavelength | JEE Physics (English)The de Broglie wavelength of matter waves explained: lambda = h/p = h/mv, the kinetic energy form h/root(2mK), a charge accelerated through V with h/root(2mqV), the electron shortcut 1.227/root V nm, gas molecules and charges in a magnetic field, the same-momentum trap, and two solved problems: a cricket ball and an electron beam whose voltage is raised from 25 V to 100 V.https://rankdeterminant.com/media/v/phy-u17-ch4-c1.mp4?v=b7468d5c1c-9e086c4852026-10-22yes https://rankdeterminant.com/v/phy-u17-ch4-c2https://rankdeterminant.com/media/v/phy-u17-ch4-c2.jpg?v=0fd49fbfc3-f4fd10Comparing Particles and Photons | JEE Physics (English)How to compare the de Broglie wavelengths of two particles: same momentum, same speed, same kinetic energy and same accelerating voltage, what the same wavelength means for kinetic energy, a photon against an electron, the masses and charges to remember, and two solved problems: a proton and an alpha particle through the same voltage, and an electron and a photon of wavelength 1 nm.https://rankdeterminant.com/media/v/phy-u17-ch4-c2.mp4?v=0fd49fbfc3-f4fd104932026-10-22yes https://rankdeterminant.com/v/phy-u17-ch4-c3https://rankdeterminant.com/media/v/phy-u17-ch4-c3.jpg?v=22868bb834-2e1afeEvidence for Matter Waves | JEE Physics (English)The Davisson-Germer experiment explained step by step: 54 V electrons on a nickel crystal, the sharp peak at 50 degrees, Bragg's law giving 0.165 nm against the de Broglie value 0.167 nm, G. P. Thomson's diffraction rings, the electron microscope, and standing matter waves in a Bohr orbit that give mvr = nh/2π, with two solved problems from the course.https://rankdeterminant.com/media/v/phy-u17-ch4-c3.mp4?v=22868bb834-2e1afe5142026-10-22yes https://rankdeterminant.com/v/phy-u17-ch4-c5https://rankdeterminant.com/media/v/phy-u17-ch4-c5.jpg?v=aeec60ef08-bb3043AIEEE and Earlier JEE Main Questions: Matter Waves | JEE Physics (English)Past AIEEE and JEE Main questions on matter waves, solved step by step: the de Broglie wavelength lambda = h/p = h/root(2mK) = h/root(2mqV), the 1.227/root V nm electron shortcut, the ratio trick, the Davisson-Germer experiment and the JEE Main 2015 experiment match, an electron whose kinetic energy doubles (AIEEE 2005), and the JEE Main 2017 elastic collision wavelength ratio.https://rankdeterminant.com/media/v/phy-u17-ch4-c5.mp4?v=aeec60ef08-bb30434772026-10-22yes https://rankdeterminant.com/v/phy-u17-ch5-c1https://rankdeterminant.com/media/v/phy-u17-ch5-c1.jpg?v=2a41c370a4-7e0975Overview | JEE Physics (English)How to solve JEE Main dual nature questions in about 100 seconds each: photon energy with hc = 1240 eV nm, Einstein's photoelectric equation and the threshold frequency, why intensity changes the saturation current but not the stopping potential, the stopping potential graph of slope h/e, and the de Broglie wavelength, with two solved problems including the one volt to four volt trap.https://rankdeterminant.com/media/v/phy-u17-ch5-c1.mp4?v=2a41c370a4-7e09755312026-10-22yes https://rankdeterminant.com/v/phy-u17-ch5-c2https://rankdeterminant.com/media/v/phy-u17-ch5-c2.jpg?v=57c4a8d6bc-84eb62Set 1 | JEE Physics (English)A problem class on dual nature for JEE Main: photon energy in eV as 1240 over the wavelength in nm, photons per second, Einstein's equation Kmax = hν − φ0 = eV0, the threshold, what tripling the intensity does to the saturation current and the stopping potential, the electron's de Broglie wavelength 1.227/√V nm, and two solved problems with their traps.https://rankdeterminant.com/media/v/phy-u17-ch5-c2.mp4?v=57c4a8d6bc-84eb625842026-10-22yes https://rankdeterminant.com/v/phy-u17-ch5-c3https://rankdeterminant.com/media/v/phy-u17-ch5-c3.jpg?v=5b05060be6-bd0145Set 2 | JEE Physics (English)Mixed JEE Main-pattern problems on dual nature of radiation and matter, Set 2: photon energy E = 1240/λ in eV, Einstein's photoelectric equation Kmax = hν − φ0 = eV0, no emission below the threshold, why intensity changes the photocurrent but not the stopping potential, de Broglie wavelength λ = h/p, and two solved problems: a stopping potential, and a photon and an electron of the same wavelength.https://rankdeterminant.com/media/v/phy-u17-ch5-c3.mp4?v=5b05060be6-bd01455042026-10-22yes https://rankdeterminant.com/v/phy-u17-ch5-c4https://rankdeterminant.com/media/v/phy-u17-ch5-c4.jpg?v=38cebdcc44-1e660aSet 3 | JEE Physics (English)Mixed dual nature problems in JEE Main style, solved step by step: work function from the threshold frequency, why intensity changes the saturation current but not the stopping potential, equal de Broglie wavelengths, a new stopping potential for a new wavelength, and the work function from two stopping potentials, with the classic traps.https://rankdeterminant.com/media/v/phy-u17-ch5-c4.mp4?v=38cebdcc44-1e660a5062026-10-22yes https://rankdeterminant.com/v/phy-u17-ch6-c1https://rankdeterminant.com/media/v/phy-u17-ch6-c1.jpg?v=a0f4a387cf-a557cfOverview | JEE Physics (English)How to use the dual nature problem bank: Part A at JEE Main level, Part B at JEE Advanced level, Part C concept checks (why bright red light ejects no electrons from zinc while faint ultraviolet light does), and two solved problems: the maximum kinetic energy for 350 nm light on sodium, and a work function from a 3:1 ratio of maximum speeds, with the squared-ratio trap.https://rankdeterminant.com/media/v/phy-u17-ch6-c1.mp4?v=a0f4a387cf-a557cf4982026-10-22yes https://rankdeterminant.com/v/phy-u17-ch6-c2https://rankdeterminant.com/media/v/phy-u17-ch6-c2.jpg?v=0f4bcc86b2-fb8fb8Part A: JEE Main Level | JEE Physics (English)Part A of the dual nature problem bank at JEE Main level: photon energy as 1240 over the wavelength in nm (12400 in angstrom), Einstein's equation Kmax = hν − φ0 = eV0, the threshold, what doubling the frequency and halving the intensity really does, the de Broglie wavelength 1.227/√V nm for electrons, the Davisson–Germer check, and two solved problems with their traps.https://rankdeterminant.com/media/v/phy-u17-ch6-c2.mp4?v=0f4bcc86b2-fb8fb84902026-10-22yes https://rankdeterminant.com/v/phy-u17-ch6-c4https://rankdeterminant.com/media/v/phy-u17-ch6-c4.jpg?v=00964ea78c-fcb927Part C: Concept Checks | JEE Physics (English)Dual nature concept checks for JEE, solved like a live class: why bright red light ejects no electrons from zinc while faint ultraviolet does, what intensity means in the photon picture, all-or-nothing absorption, what fixes the stopping potential, why matter waves are not electromagnetic, why a car shows no wave nature, Bohr orbits as standing waves, and an electron and a proton with the same kinetic energy.https://rankdeterminant.com/media/v/phy-u17-ch6-c4.mp4?v=00964ea78c-fcb9275092026-10-22yes https://rankdeterminant.com/v/phy-u18-ch1-c1https://rankdeterminant.com/media/v/phy-u18-ch1-c1.jpg?v=94d5db42f4-9670d7Overview | JEE Physics (English)Start Atoms and Nuclei with the constants every chapter uses: e²/4πε₀ = 1.44 MeV fm = 1.44 eV nm, hc = 1240 eV nm, the Rydberg constant, the Bohr radius, −13.6 eV for hydrogen and 1 u = 931.5 MeV/c². Then two solved problems with their traps: the closest approach of a 5.5 MeV alpha particle to a gold nucleus, and the orbit radius of hydrogen's electron in Rutherford's model.https://rankdeterminant.com/media/v/phy-u18-ch1-c1.mp4?v=94d5db42f4-9670d75042026-10-22yes https://rankdeterminant.com/v/phy-u18-ch1-c2https://rankdeterminant.com/media/v/phy-u18-ch1-c2.jpg?v=39db717acb-791bbcThe Scattering Experiment | JEE Physics (English)Rutherford's alpha particle scattering experiment explained: Thomson's watermelon model and its prediction, the Geiger and Marsden gold foil set-up, why most alpha particles pass straight through and about 1 in 8000 turn back by more than 90 degrees, the size of the nucleus, why electrons are ignored, why a thin gold foil, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u18-ch1-c2.mp4?v=39db717acb-791bbc4792026-10-22yes https://rankdeterminant.com/v/phy-u18-ch1-c3https://rankdeterminant.com/media/v/phy-u18-ch1-c3.jpg?v=dc76be9308-8ef9c7Closest Approach and Impact Parameter | JEE Physics (English)Distance of closest approach of an alpha particle to a nucleus and the impact parameter in Rutherford scattering: the 1.44 MeV fm shortcut, r0 = 2.88 Z / K fm, b = (r0/2) cot(theta/2), the speed-doubling trap, what is conserved, and two solved problems on a gold nucleus.https://rankdeterminant.com/media/v/phy-u18-ch1-c3.mp4?v=dc76be9308-8ef9c74742026-10-22yes https://rankdeterminant.com/v/phy-u18-ch1-c4https://rankdeterminant.com/media/v/phy-u18-ch1-c4.jpg?v=c8a900a117-9e5a1dRutherford's Model and Its Difficulties | JEE Physics (English)Rutherford's planetary model of the hydrogen atom: electrostatic attraction as the centripetal force, the kinetic, potential and total energy of the electron (E = -K = U/2), why the total energy is negative, and the two failures of the model, collapse of the atom and a continuous spectrum, with two solved problems on orbit energies and the orbit radius from the ionisation energy.https://rankdeterminant.com/media/v/phy-u18-ch1-c4.mp4?v=c8a900a117-9e5a1d5062026-10-22yes https://rankdeterminant.com/v/phy-u18-ch1-c5https://rankdeterminant.com/media/v/phy-u18-ch1-c5.jpg?v=792cf631e1-35509ePast JEE Questions: Scattering | JEE Physics (English)Four past JEE questions on Rutherford alpha scattering, solved step by step: distance of closest approach with the 2.88 Z / K fm shortcut (JEE Main 2026), why r0 is proportional to 1/m and not 1/v^4 (AIEEE 2006), the N versus theta graph from 1/sin^4(theta/2) (JEE Main 2020), and why the plum pudding model is not a special case of Rutherford's model (JEE Main 2024).https://rankdeterminant.com/media/v/phy-u18-ch1-c5.mp4?v=792cf631e1-35509e4822026-10-22yes https://rankdeterminant.com/v/phy-u18-ch2-c1https://rankdeterminant.com/media/v/phy-u18-ch2-c1.jpg?v=7579dd64fd-557b65Postulates, Radius and Speed | JEE Physics (English)Bohr's three postulates, the quantum condition mvr = nh/2π, and how to derive the radius and speed of the electron in a hydrogen-like atom: r = 0.529 n²/Z Å and v = 2.19×10⁶ Z/n m/s, the Bohr radius, v = c/137, how the period and frequency scale with n and Z, the de Broglie picture, and two solved problems on He⁺ and Be³⁺ with the classic Z trap.https://rankdeterminant.com/media/v/phy-u18-ch2-c1.mp4?v=7579dd64fd-557b655132026-10-22yes https://rankdeterminant.com/v/phy-u18-ch2-c2https://rankdeterminant.com/media/v/phy-u18-ch2-c2.jpg?v=0e77e26500-d415ceEnergy of the Stationary States | JEE Physics (English)Energy of the electron in the nth Bohr orbit: E = -13.6 Z²/n² eV for hydrogen-like atoms, the K : U : E = 1 : -2 : -1 trick, hydrogen's energy levels, excitation energy and excitation potential, ionisation (binding) energy, and two solved problems, including the trap of shifting the zero of potential energy.https://rankdeterminant.com/media/v/phy-u18-ch2-c2.mp4?v=0e77e26500-d415ce5022026-10-22yes https://rankdeterminant.com/v/phy-u18-ch2-c3https://rankdeterminant.com/media/v/phy-u18-ch2-c3.jpg?v=d349ccb76b-3a000cOrbital Current and Magnetism | JEE Physics (English)How the orbiting electron in a Bohr atom acts as a tiny current loop: the orbital current i = ev/2πr, proportional to Z²/n³, the magnetic moment μ = (e/2m)L = n μB with the Bohr magneton, why μ points opposite to L, and the field at the nucleus, proportional to Z³/n⁵ (12.5 T in hydrogen), with two solved JEE-style problems: the current in He+ and the torque on an atom in a field.https://rankdeterminant.com/media/v/phy-u18-ch2-c3.mp4?v=d349ccb76b-3a000c4932026-10-22yes https://rankdeterminant.com/v/phy-u18-ch2-c4https://rankdeterminant.com/media/v/phy-u18-ch2-c4.jpg?v=14ffdba586-276eaeBeyond the Simple Model | JEE Physics (English)Reduced mass in the Bohr model: why the nucleus also moves, μ = mM/(m+M), how energies, radii and the Rydberg constant change, why deuterium's lines shift, a heavier particle in place of the electron, positronium with E = −6.8/n² eV and separation 2a₀n², other force laws, the limits of the Bohr model, and two solved problems on positronium and a muon bound to a proton.https://rankdeterminant.com/media/v/phy-u18-ch2-c4.mp4?v=14ffdba586-276eae5342026-10-22yes https://rankdeterminant.com/v/phy-u18-ch2-c6https://rankdeterminant.com/media/v/phy-u18-ch2-c6.jpg?v=ef24f27a1b-617297IIT-JEE Questions (1981–2003): Bohr Model | JEE Physics (English)Two past IIT-JEE questions on the Bohr model, solved step by step: why doubly ionised lithium needs 122.4 eV to lose its electron (energy goes as Z squared, not Z), and how an ionisation energy of 4 rydberg gives Z = 2, a 30.4 nm photon and the first-orbit radius. With r = a0 n²/Z, E = −13.6 Z²/n² eV, the second-excited-state trap and λ = 1240/ΔE.https://rankdeterminant.com/media/v/phy-u18-ch2-c6.mp4?v=ef24f27a1b-6172974982026-10-22yes https://rankdeterminant.com/v/phy-u18-ch2-c7https://rankdeterminant.com/media/v/phy-u18-ch2-c7.jpg?v=c48068b4fd-96311dAIEEE and Earlier JEE Main Questions: Bohr Model | JEE Physics (English)Solved AIEEE and earlier JEE Main questions on the Bohr model: how radius, speed, period and frequency scale with n and Z for hydrogen-like atoms, the ionisation energy 13.6 Z²/n² eV from level n, why the first excited state means n = 2, the He+ ionisation energy (JEE Main 2019) and the frequency of revolution in hydrogen's first excited state (JEE Main 2020).https://rankdeterminant.com/media/v/phy-u18-ch2-c7.mp4?v=c48068b4fd-96311d4852026-10-22yes https://rankdeterminant.com/v/phy-u18-ch3-c1https://rankdeterminant.com/media/v/phy-u18-ch3-c1.jpg?v=ed38a165fc-e1a4acThe Hydrogen Spectrum | JEE Physics (English)The hydrogen spectrum explained step by step: the Rydberg formula 1/λ = RZ²(1/n₁² − 1/n₂²), why each series is named by the lower level (Lyman, Balmer, Paschen, Brackett, Pfund), the first line and the series limit, the four visible Balmer lines, emission and absorption spectra, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u18-ch3-c1.mp4?v=ed38a165fc-e1a4ac4782026-10-22yes https://rankdeterminant.com/v/phy-u18-ch3-c2https://rankdeterminant.com/media/v/phy-u18-ch3-c2.jpg?v=a7a06d5cfc-ed0c52Counting Lines; Hydrogen-like Ions | JEE Physics (English)How many spectral lines do hydrogen atoms excited to level n emit? The n(n-1)/2 rule, lines between two levels, the one-atom trap (at most n-1 photons), and why every energy of a hydrogen-like ion such as He+ or Li2+ is Z squared times hydrogen's. Two solved examples: lines from n = 5, and finding Z and a series limit.https://rankdeterminant.com/media/v/phy-u18-ch3-c2.mp4?v=a7a06d5cfc-ed0c524782026-10-22yes https://rankdeterminant.com/v/phy-u18-ch3-c3https://rankdeterminant.com/media/v/phy-u18-ch3-c3.jpg?v=429d1db544-f0db58Excitation, Collisions and Recoil | JEE Physics (English)Why an 11 eV photon cannot excite a hydrogen atom but an 11 eV electron can: photons need an exact level gap, electrons give up any part of their kinetic energy, and in a collision with a heavy particle at most M/(M+m) of K is lost, so a neutron needs 20.4 eV and an alpha particle 51 eV. Also the recoil speed E/Mc of an atom that emits a photon, with two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u18-ch3-c3.mp4?v=429d1db544-f0db584542026-10-22yes https://rankdeterminant.com/v/phy-u18-ch3-c4https://rankdeterminant.com/media/v/phy-u18-ch3-c4.jpg?v=7a1a8f6cb4-c2238dJEE Advanced Questions (2004–2018): Spectra | JEE Physics (English)Hydrogen spectrum questions from JEE Advanced 2004 to 2018, solved step by step: energy levels E = −13.6 Z²/n² eV, the Rydberg formula, the Lyman, Balmer and Paschen series, when a photon is absorbed, the n(n−1)/2 rule for counting lines, the number of lines after 970 Å light (JEE Advanced 2016), and the three wavelengths of a hydrogen-like atom found from its radius and angular momentum (JEE Advanced 2013).https://rankdeterminant.com/media/v/phy-u18-ch3-c4.mp4?v=7a1a8f6cb4-c2238d5022026-10-22yes https://rankdeterminant.com/v/phy-u18-ch3-c5https://rankdeterminant.com/media/v/phy-u18-ch3-c5.jpg?v=5229e55de5-14f9a3IIT-JEE Questions (1992–2002): Spectra | JEE Physics (English)Hydrogen spectrum questions from IIT-JEE 1992 to 2002, solved step by step: energy levels E = −13.6 Z²/n² eV, photon energy from a jump, why every energy scales with Z², the first excited state n = 2, which transition gives infrared (IIT-JEE 2001), and finding n and Z from two pairs of photons by subtracting the equations (IIT-JEE 1994).https://rankdeterminant.com/media/v/phy-u18-ch3-c5.mp4?v=5229e55de5-14f9a34962026-10-27yes https://rankdeterminant.com/v/phy-u18-ch3-c6https://rankdeterminant.com/media/v/phy-u18-ch3-c6.jpg?v=04bbf6a171-ca889dIIT-JEE Questions (1982–1990): Spectra | JEE Physics (English)Old IIT-JEE questions on spectra from 1982 to 1990, solved step by step: energy levels E = −13.6 Z²/n² eV for one-electron atoms, the λ = 1240/ΔE shortcut, when a photon is absorbed, the n(n−1)/2 rule for counting lines, the wavelength that excites Li²⁺ from orbit 1 to 3 (IIT-JEE 1985), and the six-line puzzle that finds level B, the ionisation energy and the largest and smallest photons (IIT-JEE 1989).https://rankdeterminant.com/media/v/phy-u18-ch3-c6.mp4?v=04bbf6a171-ca889d4852026-10-22yes https://rankdeterminant.com/v/phy-u18-ch3-c7https://rankdeterminant.com/media/v/phy-u18-ch3-c7.jpg?v=635c71d38c-ffb951AIEEE and Earlier JEE Main Questions: Spectra | JEE Physics (English)Older JEE Main and AIEEE questions on atomic spectra, solved step by step: energy levels E = −13.6 Z²/n² eV for one-electron atoms, the Rydberg formula, the Lyman, Balmer and Paschen series, wavelength ratios in which R and Z² cancel, exact-gap absorption, the second Balmer line from the first (JEE Main 2020), and why He⁺ ions in n = 2 absorb hydrogen's 10.2 eV line (JEE Main 2019).https://rankdeterminant.com/media/v/phy-u18-ch3-c7.mp4?v=635c71d38c-ffb9514852026-10-22yes https://rankdeterminant.com/v/phy-u18-ch4-c1https://rankdeterminant.com/media/v/phy-u18-ch4-c1.jpg?v=86b932d470-d6e863Production and the Continuous Spectrum | JEE Physics (English)How X-rays are produced in a Coolidge tube and why the continuous spectrum stops at a cut-off wavelength: bremsstrahlung, the Duane–Hunt law lambda min = hc/eV = 1240/V nm, why it depends only on the voltage, intensity versus quality, electrons per second i/e and power Vi, with two solved problems.https://rankdeterminant.com/media/v/phy-u18-ch4-c1.mp4?v=86b932d470-d6e8635162026-10-22yes https://rankdeterminant.com/v/phy-u18-ch4-c2https://rankdeterminant.com/media/v/phy-u18-ch4-c2.jpg?v=43dffeb365-877df3Characteristic X-rays and Moseley's Law | JEE Physics (English)Moseley's law and characteristic X-rays for JEE: how the K alpha, K beta and L alpha lines form, why they depend on the target and not on the voltage, why b = 1 for K alpha, the shortcut E = 10.2 (Z − 1)² eV, the wavelength ratio rule for two elements, and two solved problems: the K alpha line of copper, and identifying a metal from a 0.194 nm line.https://rankdeterminant.com/media/v/phy-u18-ch4-c2.mp4?v=43dffeb365-877df35092026-10-22yes https://rankdeterminant.com/v/phy-u18-ch4-c3https://rankdeterminant.com/media/v/phy-u18-ch4-c3.jpg?v=069549cfaf-c8319eProperties and Absorption | JEE Physics (English)X-ray absorption explained for JEE: the properties of X-rays (not deflected by fields, ionise gases, diffracted by crystals), the law I = I₀e^(−μx), half-value thickness ln2/μ, why two half-value thicknesses leave a quarter and not zero, why bone absorbs more than flesh, hard and soft X-rays, and two solved problems on the fraction transmitted and the thickness for 1%.https://rankdeterminant.com/media/v/phy-u18-ch4-c3.mp4?v=069549cfaf-c8319e4782026-10-22yes https://rankdeterminant.com/v/phy-u18-ch4-c4https://rankdeterminant.com/media/v/phy-u18-ch4-c4.jpg?v=518b36fb6e-98ae75JEE Advanced and IIT-JEE Questions (1996–2014): X-rays | JEE Physics (English)X-ray questions from JEE Advanced and IIT-JEE (1996–2014), solved step by step: the cut-off wavelength λmin = hc/eV that depends only on the voltage, characteristic K-alpha lines fixed by the target, Moseley's law with Z − 1, the ratio of the K-alpha wavelengths of copper and molybdenum (JEE Advanced 2014), and a nuclear radius plus Moseley's law problem (IIT-JEE 2005).https://rankdeterminant.com/media/v/phy-u18-ch4-c4.mp4?v=518b36fb6e-98ae754982026-10-22yes https://rankdeterminant.com/v/phy-u18-ch4-c5https://rankdeterminant.com/media/v/phy-u18-ch4-c5.jpg?v=b52e280a37-b33e62IIT-JEE Questions (1982–1992): X-rays | JEE Physics (English)Old IIT-JEE questions on X-rays from 1982 to 1992, solved step by step: why the X-rays in a tube travel at the speed of light, the cut-off wavelength λmin = hc/eV and what it depends on, how the current and the voltage change the intensity, the voltage needed for the characteristic lines of tungsten (IIT-JEE 1983), and the K beta wavelength from the K alpha line (IIT-JEE 1990).https://rankdeterminant.com/media/v/phy-u18-ch4-c5.mp4?v=b52e280a37-b33e625152026-10-22yes https://rankdeterminant.com/v/phy-u18-ch5-c1https://rankdeterminant.com/media/v/phy-u18-ch5-c1.jpg?v=de1e32b951-394848Composition and Size | JEE Physics (English)Nuclear size and composition for JEE: protons, neutrons and the mass number A = Z + N, isotopes, isobars and isotones with a memory trick, why heavy nuclei need extra neutrons, the nuclear radius R = R0 A^(1/3) with R0 = 1.2 fm, why every nucleus has the same density (2.3 x 10^17 kg/m^3), and two solved problems: radii of Al, Zn and Te, and the Earth squeezed to nuclear density.https://rankdeterminant.com/media/v/phy-u18-ch5-c1.mp4?v=de1e32b951-3948484702026-10-22yes https://rankdeterminant.com/v/phy-u18-ch5-c3https://rankdeterminant.com/media/v/phy-u18-ch5-c3.jpg?v=ccb273b332-2d14f7JEE Advanced and IIT-JEE Questions: Nucleus | JEE Physics (English)Nucleus questions from JEE Advanced and IIT-JEE, solved step by step: nuclear radius R = R0 A^(1/3), why the mass of a nucleus is proportional to its volume, nuclear density of order 10^17 kg/m^3, mass defect and binding energy with 1 u = 931.5 MeV, the binding energy per nucleon curve with fission and fusion, and the JEE Advanced 2016 problem on N-15 and O-15 that gives the nuclear radius, 3.42 fm.https://rankdeterminant.com/media/v/phy-u18-ch5-c3.mp4?v=ccb273b332-2d14f74792026-10-22yes https://rankdeterminant.com/v/phy-u18-ch5-c4https://rankdeterminant.com/media/v/phy-u18-ch5-c4.jpg?v=c27f770215-f09df2AIEEE and Earlier JEE Main Questions: Nucleus | JEE Physics (English)Older JEE Main and AIEEE questions on the nucleus, solved step by step: the nuclear radius R = R0 A^(1/3) and why radii go as the cube root, mass defect and binding energy E = Δm c² with 1 u ≈ 931.5 MeV, the binding energy per nucleon curve, the radius of Te-125 from Al-27 (AIEEE 2005) and the binding energy per nucleon of Sn-120 (JEE Main 2020).https://rankdeterminant.com/media/v/phy-u18-ch5-c4.mp4?v=c27f770215-f09df24632026-10-22yes https://rankdeterminant.com/v/phy-u18-ch6-c1https://rankdeterminant.com/media/v/phy-u18-ch6-c1.jpg?v=50f9b4cf17-f2b653The Three Kinds of Decay | JEE Physics (English)Alpha, beta minus, beta plus and gamma decay with the displacement laws: how the mass number A and the atomic number Z change, where the beta electron comes from, electron capture, the topper's trick to count alpha and beta particles in a decay chain, the properties of the three radiations, and two solved problems on uranium-238 and uranium-235.https://rankdeterminant.com/media/v/phy-u18-ch6-c1.mp4?v=50f9b4cf17-f2b6535222026-10-22yes https://rankdeterminant.com/v/phy-u18-ch6-c10https://rankdeterminant.com/media/v/phy-u18-ch6-c10.jpg?v=8b8aac740d-7938b7AIEEE and Earlier JEE Main Questions: Radioactivity | JEE Physics (English)Radioactivity past questions from AIEEE and earlier JEE Main papers, solved step by step: the decay law, half-life and the fraction decayed, what alpha, beta minus, beta plus and gamma decay do to the mass number and atomic number, a thorium decay chain, and the ratio of nuclei decayed for two elements with different half-lives, with the classic traps.https://rankdeterminant.com/media/v/phy-u18-ch6-c10.mp4?v=8b8aac740d-7938b74602026-10-22yes https://rankdeterminant.com/v/phy-u18-ch6-c2https://rankdeterminant.com/media/v/phy-u18-ch6-c2.jpg?v=a1891c9c32-f9b6e2The Law of Radioactive Decay | JEE Physics (English)The law of radioactive decay, N = N0 e^(−λt), explained step by step: the decay constant λ and why heat or pressure cannot change it, half-life T½ = 0.693/λ, mean life τ = 1/λ = 1.44 T½, the survival probability of one nucleus, and two solved problems: the fraction left after 25 days, and the time for 90% of a sample to decay.https://rankdeterminant.com/media/v/phy-u18-ch6-c2.mp4?v=a1891c9c32-f9b6e24842026-10-22yes https://rankdeterminant.com/v/phy-u18-ch6-c3https://rankdeterminant.com/media/v/phy-u18-ch6-c3.jpg?v=7a9df664fe-9c7249Activity | JEE Physics (English)What the activity of a radioactive sample means: A equals |dN/dt|, which is lambda N, falling as A0 e^(-lambda t). The units becquerel, curie and rutherford, why activity halves every half-life, activity from the mass of a sample, the A proportional to N over half-life trap, and two solved problems: a source after three half-lives and the activity of one gram of radium-226.https://rankdeterminant.com/media/v/phy-u18-ch6-c3.mp4?v=7a9df664fe-9c72494862026-10-22yes https://rankdeterminant.com/v/phy-u18-ch6-c4https://rankdeterminant.com/media/v/phy-u18-ch6-c4.jpg?v=b105095f37-943934Energy Released in a Decay | JEE Physics (English)How much energy a radioactive decay releases: the Q-value from atomic masses, why a decay needs Q greater than zero, how the alpha particle and the recoiling daughter share the energy, the beta minus and beta plus formulas with the two-electron-mass trap, gamma recoil, and two solved problems on carbon-14 and radium-226.https://rankdeterminant.com/media/v/phy-u18-ch6-c4.mp4?v=b105095f37-9439344862026-10-27yes https://rankdeterminant.com/v/phy-u18-ch6-c6https://rankdeterminant.com/media/v/phy-u18-ch6-c6.jpg?v=dd6416b59b-ee4c13JEE Advanced Questions (2013–2018): Radioactivity | JEE Physics (English)Radioactivity questions from JEE Advanced, solved step by step: the decay law N = N0 e^(−λt), half-life and mean life, activity in becquerel, the λt shortcut for short times, the lab at 64 times the safe level (JEE Advanced 2016), and the total blood volume found with an iodine-131 tracer (JEE Advanced 2017).https://rankdeterminant.com/media/v/phy-u18-ch6-c6.mp4?v=dd6416b59b-ee4c134992026-10-27yes https://rankdeterminant.com/v/phy-u18-ch6-c7https://rankdeterminant.com/media/v/phy-u18-ch6-c7.jpg?v=53c4920509-6cd81bIIT-JEE Questions (2001–2012): Radioactivity | JEE Physics (English)Radioactivity past questions from IIT-JEE 2001 to 2012, solved step by step: the decay law, half-life and mean life, activity in becquerel, why a nucleus decays within two half-lives with probability three quarters, the initial activity from two later readings, and the mean life from detector counts in back-to-back intervals, with the classic traps.https://rankdeterminant.com/media/v/phy-u18-ch6-c7.mp4?v=53c4920509-6cd81b4892026-10-23yes https://rankdeterminant.com/v/phy-u18-ch6-c9https://rankdeterminant.com/media/v/phy-u18-ch6-c9.jpg?v=eda90adc86-60bb4dIIT-JEE Questions (1981–1992): Radioactivity | JEE Physics (English)Old IIT-JEE radioactivity questions from 1981 to 1992, solved step by step: what alpha, beta minus and beta plus decay do to A and Z, where the beta electron comes from, half-life ln 2 over lambda and mean life 1 over lambda, the decay rate after three half-lives, counting alpha and beta particles in the uranium series (IIT-JEE 1985), and the fraction of free neutrons that decay in a 10 m flight (IIT-JEE 1986).https://rankdeterminant.com/media/v/phy-u18-ch6-c9.mp4?v=eda90adc86-60bb4d5002026-10-23yes https://rankdeterminant.com/v/phy-u18-ch7-c1https://rankdeterminant.com/media/v/phy-u18-ch7-c1.jpg?v=9e391c6ee1-789ac4Nuclear Reactions and Q-values | JEE Physics (English)How to find the Q value of a nuclear reaction: balancing charge number and nucleon number, Q from masses with 1 u = 931.5 MeV, exothermic and endothermic reactions, the threshold kinetic energy |Q|(1 + ma/mX) and why |Q| alone is not enough, energy sharing between two products, and two solved problems on nitrogen and alpha particles.https://rankdeterminant.com/media/v/phy-u18-ch7-c1.mp4?v=9e391c6ee1-789ac44952026-10-23yes https://rankdeterminant.com/v/phy-u18-ch7-c2https://rankdeterminant.com/media/v/phy-u18-ch7-c2.jpg?v=0f870e728b-4fe547Nuclear Fission | JEE Physics (English)Nuclear fission explained step by step: how uranium-235 absorbs a neutron and splits into barium-141, krypton-92 and three neutrons, why about 200 MeV is released (binding energy per nucleon rises from 7.6 to 8.5 MeV), the chain reaction and the multiplication factor k, moderators and control rods, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u18-ch7-c2.mp4?v=0f870e728b-4fe5474882026-10-23yes https://rankdeterminant.com/v/phy-u18-ch7-c3https://rankdeterminant.com/media/v/phy-u18-ch7-c3.jpg?v=fa5c4f4863-8cededNuclear Fusion | JEE Physics (English)Nuclear fusion for JEE: why joining light nuclei releases energy (the binding energy per nucleon curve), why fusion needs 10⁷ to 10⁹ K and fission does not, the proton–proton cycle in the sun (26.7 MeV), the D–D and D–T reactions, the Lawson criterion, and two solved problems with their traps.https://rankdeterminant.com/media/v/phy-u18-ch7-c3.mp4?v=fa5c4f4863-8ceded4872026-10-23yes https://rankdeterminant.com/v/phy-u18-ch7-c4https://rankdeterminant.com/media/v/phy-u18-ch7-c4.jpg?v=aa3622ec89-c594ddJEE Advanced and IIT-JEE Questions (2001–2015): Nuclear Energy | JEE Physics (English)Nuclear energy past questions from JEE Advanced and IIT-JEE (2001–2015), solved step by step: the Q value from lost mass and from binding energies, why fission and fusion both release energy, rest-mass energy in fission, a fusion and fission matching question, and the 2015 problem on how two fission fragments share the kinetic energy.https://rankdeterminant.com/media/v/phy-u18-ch7-c4.mp4?v=aa3622ec89-c594dd5072026-10-23yes https://rankdeterminant.com/v/phy-u18-ch7-c5https://rankdeterminant.com/media/v/phy-u18-ch7-c5.jpg?v=852d703d43-45c213IIT-JEE Questions (1983–1999): Nuclear Energy | JEE Physics (English)Nuclear fission and fusion questions from IIT-JEE papers of 1983 to 1999, solved step by step: why both climb the binding energy per nucleon curve, the energy released from binding energies and from masses, a reaction that breaks charge conservation, why heavy water slows neutrons, and how many grams of deuterium a 200 MW fusion reactor needs per day.https://rankdeterminant.com/media/v/phy-u18-ch7-c5.mp4?v=852d703d43-45c2134822026-10-23yes https://rankdeterminant.com/v/phy-u18-ch7-c6https://rankdeterminant.com/media/v/phy-u18-ch7-c6.jpg?v=bc6b852ddb-022d40AIEEE and Earlier JEE Main Questions: Nuclear Energy | JEE Physics (English)Older JEE Main and AIEEE questions on nuclear energy, solved step by step: the Q value from masses and from binding energies, why light nuclei fuse and heavy nuclei split on the binding energy per nucleon curve, the energy to split neon-20 into helium and carbon (JEE Main 2019), and the power of a reactor that burns 2 kg of uranium-235 in 30 days (JEE Main 2020).https://rankdeterminant.com/media/v/phy-u18-ch7-c6.mp4?v=bc6b852ddb-022d404832026-10-23yes https://rankdeterminant.com/v/phy-u18-ch8-c1https://rankdeterminant.com/media/v/phy-u18-ch8-c1.jpg?v=b2ee29c76d-c795faOverview | JEE Physics (English)How to solve mixed JEE Main atoms and nuclei problems: the distance of closest approach, Bohr radius and energy for hydrogen-like ions, the kinetic energy trap, spectral series and counting lines, nuclear radius, mass defect, binding energy and why fission and fusion release energy. Two solved problems, including how many lines hydrogen can emit when hit by 13 eV electrons.https://rankdeterminant.com/media/v/phy-u18-ch8-c1.mp4?v=b2ee29c76d-c795fa5202026-10-23yes https://rankdeterminant.com/v/phy-u18-ch8-c2https://rankdeterminant.com/media/v/phy-u18-ch8-c2.jpg?v=eb0a678ddf-6ac977Set 1 | JEE Physics (English)A problem class on atoms and nuclei for JEE Main: Bohr's radius, speed and energy for hydrogen-like atoms, the Rydberg formula and the spectral series, why not every Balmer line is visible, the alpha particle's distance of closest approach, mass defect, binding energy per nucleon and the energy released in fission, with two solved problems and their traps.https://rankdeterminant.com/media/v/phy-u18-ch8-c2.mp4?v=eb0a678ddf-6ac9775462026-10-23yes https://rankdeterminant.com/v/phy-u18-ch8-c3https://rankdeterminant.com/media/v/phy-u18-ch8-c3.jpg?v=b7d40300af-060ab7Set 2 | JEE Physics (English)Mixed JEE Main-pattern problems on atoms and nuclei: the energy of level n of a hydrogen-like ion, spotting Li2+ from one level, which level a 102.6 nm Lyman line falls from, the Brackett series limit, the number of nucleons from the nuclear radius, ionising He+ from n = 3, and how many lines a 13.0 eV electron beam can produce in hydrogen.https://rankdeterminant.com/media/v/phy-u18-ch8-c3.mp4?v=b7d40300af-060ab74932026-10-23yes https://rankdeterminant.com/v/phy-u18-ch8-c4https://rankdeterminant.com/media/v/phy-u18-ch8-c4.jpg?v=a8f4bd156f-b79427Set 3 | JEE Physics (English)Atoms mixed problems for JEE Main, solved like a live class: how many alpha particles reach 120 degrees when 80 per minute reach 60 degrees, the potential energy U = 2E of the electron in a Bohr orbit of Li2+, the Rydberg formula and series limits, the Balmer-type limit of He+, and the Li2+ transition that matches hydrogen's 2 to 1 line, with the classic traps.https://rankdeterminant.com/media/v/phy-u18-ch8-c4.mp4?v=a8f4bd156f-b794275172026-10-23yes https://rankdeterminant.com/v/phy-u18-ch9-c1https://rankdeterminant.com/media/v/phy-u18-ch9-c1.jpg?v=42a6366a7f-608d0fOverview | JEE Physics (English)How to use the atoms and nuclei problem bank: Part A at JEE Main level, Part B at JEE Advanced level with X-rays and radioactivity, Part C concept checks (why a photon must match an energy gap exactly while an electron need not), and two solved problems: the first excitation energy of Be3+, and the photons He+ ions emit after absorbing 48.36 eV, with the one-line trap.https://rankdeterminant.com/media/v/phy-u18-ch9-c1.mp4?v=42a6366a7f-608d0f5192026-10-23yes https://rankdeterminant.com/v/phy-u18-ch9-c2https://rankdeterminant.com/media/v/phy-u18-ch9-c2.jpg?v=628d7490ab-e327e4Part A: JEE Main Level | JEE Physics (English)Part A of the atoms and nuclei problem bank at JEE Main level: Bohr radius, speed and energy for one-electron ions (Z versus Z squared), the Rydberg formula and the series named by the lower level, which He+ jump copies the H-alpha line, and the mass defect and binding energy with 931.5 MeV per u. Solved: first excitation energy of Be3+ and the binding energy of the triton.https://rankdeterminant.com/media/v/phy-u18-ch9-c2.mp4?v=628d7490ab-e327e44712026-10-23yes https://rankdeterminant.com/v/phy-u18-ch9-c4https://rankdeterminant.com/media/v/phy-u18-ch9-c4.jpg?v=cb17c8cc13-f3df37Part C: Concept Checks | JEE Physics (English)Atoms and nuclei concept checks for JEE, solved like a live class: why alpha particles probe the atom, why angular momentum is conserved in scattering, why Lyman is ultraviolet and Balmer visible, why the X-ray spectrum has a sharp cut-off, why every nucleus has the same density, why a photon must match a level gap exactly, and why hydrogen levels crowd together.https://rankdeterminant.com/media/v/phy-u18-ch9-c4.mp4?v=cb17c8cc13-f3df375192026-10-23yes https://rankdeterminant.com/v/phy-u19-ch1-c1https://rankdeterminant.com/media/v/phy-u19-ch1-c1.jpg?v=7c8d3cf9e4-c8189aEnergy Bands in Solids | JEE Physics (English)Energy bands in solids made simple: how sharp atomic levels spread into bands, the valence band, the conduction band and the forbidden gap Eg, why a filled band carries no current, metal vs semiconductor vs insulator (Si 1.1 eV, Ge 0.7 eV, diamond 5.4 eV), the 1240/Eg shortcut for the longest wavelength, thermal excitation, and two solved JEE problems with the exponent trap.https://rankdeterminant.com/media/v/phy-u19-ch1-c1.mp4?v=7c8d3cf9e4-c8189a4902026-10-27yes https://rankdeterminant.com/v/phy-u19-ch1-c2https://rankdeterminant.com/media/v/phy-u19-ch1-c2.jpg?v=aa2a5f9f88-ba6d55Intrinsic Semiconductors | JEE Physics (English)What happens when a bond breaks in pure silicon or germanium: an electron in the conduction band, a hole of charge +e in the valence band, ne = nh = ni, generation and recombination, why the electron and hole currents add, and why heating lowers a semiconductor's resistance. Two solved JEE-style problems, including the eightfold rise in ni for a 30 K rise.https://rankdeterminant.com/media/v/phy-u19-ch1-c2.mp4?v=aa2a5f9f88-ba6d555042026-10-27yes https://rankdeterminant.com/v/phy-u19-ch1-c3https://rankdeterminant.com/media/v/phy-u19-ch1-c3.jpg?v=a615cea076-46443dDoping: n-type and p-type | JEE Physics (English)Doping for JEE Physics: how pentavalent donors (P, As, Sb) make n-type silicon and trivalent acceptors (B, Al, Ga, In) make p-type, where the donor and acceptor levels sit, majority and minority carriers, why a doped crystal stays neutral, and the rule ne × nh = ni². Two solved problems on carrier concentrations, with the classic trap of leaving the minority carriers at ni.https://rankdeterminant.com/media/v/phy-u19-ch1-c3.mp4?v=a615cea076-46443d5092026-10-27yes https://rankdeterminant.com/v/phy-u19-ch1-c4https://rankdeterminant.com/media/v/phy-u19-ch1-c4.jpg?v=dfff83b926-39560aMobility and Conductivity | JEE Physics (English)Mobility and conductivity of semiconductors for JEE: mobility as drift speed per unit field and its unit, electron and hole mobilities in silicon and germanium, why electron and hole currents add, the conductivity formula, resistivity and current density, the pure, n-type and p-type cases, and two solved problems: pure silicon, and how doping raises its conductivity about 2.5 million times.https://rankdeterminant.com/media/v/phy-u19-ch1-c4.mp4?v=dfff83b926-39560a5122026-10-28yes https://rankdeterminant.com/v/phy-u19-ch1-c5https://rankdeterminant.com/media/v/phy-u19-ch1-c5.jpg?v=ab3c791f81-c1778eIIT-JEE Questions: Semiconductors | JEE Physics (English)Classic IIT-JEE questions on semiconductors, solved step by step: the band gap from the longest wavelength with λmax = 1240/Eg, why cooling lowers the resistance of copper but raises that of germanium, electrons and holes, n-type and p-type doping with donors and acceptors, and the 1993 statement question on resistivity and collisions with its classic trap.https://rankdeterminant.com/media/v/phy-u19-ch1-c5.mp4?v=ab3c791f81-c1778e5192026-10-28yes https://rankdeterminant.com/v/phy-u19-ch1-c6https://rankdeterminant.com/media/v/phy-u19-ch1-c6.jpg?v=97043a5f1a-2a8496AIEEE and Earlier JEE Main Questions: Semiconductors | JEE Physics (English)Past AIEEE and JEE Main questions on semiconductors, solved step by step: why energy bands form (Pauli's exclusion principle), which solids have the largest band gap, why silicon is an insulator at 0 K, why heating lowers a semiconductor's resistivity, the drift velocity ratio of electrons and holes, and resistivity and conductivity from carrier density and mobility.https://rankdeterminant.com/media/v/phy-u19-ch1-c6.mp4?v=97043a5f1a-2a84965212026-10-28yes https://rankdeterminant.com/v/phy-u19-ch2-c2https://rankdeterminant.com/media/v/phy-u19-ch2-c2.jpg?v=a7c3a3e24c-abe48eBiasing and the Characteristic | JEE Physics (English)Forward and reverse bias of a p-n junction diode for JEE: the barrier becomes V0 minus V or V0 plus V, the depletion region gets thinner or wider, diffusion and drift currents, knee voltage, reverse saturation current and breakdown, the I-V characteristic, static and dynamic resistance, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch2-c2.mp4?v=a7c3a3e24c-abe48e4912026-10-28yes https://rankdeterminant.com/v/phy-u19-ch2-c3https://rankdeterminant.com/media/v/phy-u19-ch2-c3.jpg?v=e5083fbd50-efe816Circuits with Ideal Diodes | JEE Physics (English)How to solve circuits with ideal diodes for JEE Main: the ideal diode as a one-way switch (a wire in forward bias, a gap in reverse bias), why forward bias means a higher p-side and not a positive one, why the whole branch voltage sits across an open diode, the four-step assume, replace, solve and check method, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch2-c3.mp4?v=e5083fbd50-efe8164962026-10-28yes https://rankdeterminant.com/v/phy-u19-ch2-c4https://rankdeterminant.com/media/v/phy-u19-ch2-c4.jpg?v=103d1735a3-e7b682Circuits with Real Diodes | JEE Physics (English)Solve circuits with real diodes for JEE: the constant-drop model with knee voltage 0.7 V for silicon and 0.3 V for germanium, I = (V - Vk)/R, forward resistance rf, reverse bias as infinite resistance, the least series resistance, and two solved problems, including silicon and germanium diodes in parallel, with the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch2-c4.mp4?v=103d1735a3-e7b6824632026-10-28yes https://rankdeterminant.com/v/phy-u19-ch2-c5https://rankdeterminant.com/media/v/phy-u19-ch2-c5.jpg?v=54064ec479-601fd0Diodes with Varying Inputs | JEE Physics (English)How a p-n junction diode handles an input that keeps changing: a series diode passes only one polarity, a diode across the output clips the wave, a battery moves the clipping level (plus 0.7 V for silicon), and a capacitor with a diode clamps the wave. Learn the switching-instant method and solve two JEE-style problems on a sine wave clipper and a triangular wave, with the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch2-c5.mp4?v=54064ec479-601fd04712026-10-28yes https://rankdeterminant.com/v/phy-u19-ch2-c6https://rankdeterminant.com/media/v/phy-u19-ch2-c6.jpg?v=94a76e5949-ca38b6IIT-JEE Questions: Junction Diode | JEE Physics (English)Seven past IIT-JEE questions on the p-n junction diode, solved step by step: which side of an unbiased junction is at the higher potential and which way the field points, forward and reverse bias connections, diffusion versus drift, the flow of holes in reverse bias, a two-diode circuit with forward resistance, and two identical junctions in series.https://rankdeterminant.com/media/v/phy-u19-ch2-c6.mp4?v=94a76e5949-ca38b64832026-10-28yes https://rankdeterminant.com/v/phy-u19-ch2-c7https://rankdeterminant.com/media/v/phy-u19-ch2-c7.jpg?v=a11044f44c-a6de5fAIEEE and Earlier JEE Main Questions: Junction Diode | JEE Physics (English)Solved AIEEE and earlier JEE Main questions on the p-n junction diode: forward and reverse bias, what forward bias does to the barrier and the depletion region, the knee voltage of silicon and germanium, the least series resistance, ideal diodes as one-way switches, the ammeter reading with a silicon diode (JEE Main 2018) and germanium and silicon diodes in parallel (JEE Main 2019).https://rankdeterminant.com/media/v/phy-u19-ch2-c7.mp4?v=a11044f44c-a6de5f4772026-10-28yes https://rankdeterminant.com/v/phy-u19-ch3-c1https://rankdeterminant.com/media/v/phy-u19-ch3-c1.jpg?v=27a3c239a4-c1f461The Half-Wave Rectifier | JEE Physics (English)How a single p-n junction diode turns alternating current into one-way current: the half-wave rectifier circuit and its output, output frequency, average (dc) value Vm/pi, rms value Vm/2, peak inverse voltage, maximum efficiency 40.6%, ripple factor 1.21 and the effect of the knee voltage, with two JEE-style solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch3-c1.mp4?v=27a3c239a4-c1f4614832026-10-28yes https://rankdeterminant.com/v/phy-u19-ch3-c2https://rankdeterminant.com/media/v/phy-u19-ch3-c2.jpg?v=3e2b3a53e9-019761Full-Wave Rectifiers | JEE Physics (English)How a full-wave rectifier uses both halves of every cycle: the centre-tap and bridge circuits, which diodes conduct in each half, why the output frequency doubles, Vdc = 2Vm/pi, rms values, about 81% efficiency, ripple factor 0.48, the peak inverse voltage trap (2Vm or Vm), and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u19-ch3-c2.mp4?v=3e2b3a53e9-0197615032026-10-28yes https://rankdeterminant.com/v/phy-u19-ch3-c3https://rankdeterminant.com/media/v/phy-u19-ch3-c3.jpg?v=1649589d4d-d98193Filters | JEE Physics (English)How a capacitor filter turns the humps of a rectifier into nearly steady dc: charging to the peak, slow discharge through the load, the condition R_L C much greater than T, the ripple formulas I/fC (half-wave) and I/2fC (full-wave), the inductor filter, the four stages of a power supply, and two solved problems with the usual traps.https://rankdeterminant.com/media/v/phy-u19-ch3-c3.mp4?v=1649589d4d-d981934942026-10-28yes https://rankdeterminant.com/v/phy-u19-ch3-c4https://rankdeterminant.com/media/v/phy-u19-ch3-c4.jpg?v=2d91ff58fd-9489f9Past JEE Questions: Rectifiers | JEE Physics (English)Five past JEE questions on rectifiers and filters, solved step by step: which humps of a full-wave output come from one diode, why the ripple from 50 Hz mains is at 100 Hz, where the dc output of a bridge rectifier is taken, capacitor and inductor filters, and matching the transformer, rectifier, filter and stabiliser to their jobs.https://rankdeterminant.com/media/v/phy-u19-ch3-c4.mp4?v=2d91ff58fd-9489f94822026-10-28yes https://rankdeterminant.com/v/phy-u19-ch4-c1https://rankdeterminant.com/media/v/phy-u19-ch4-c1.jpg?v=f8f55e915d-f8d3ebThe Zener Diode as a Voltage Regulator | JEE Physics (English)How a heavily doped p-n junction works in reverse breakdown and holds its voltage at VZ, and how the Zener regulator uses it: the series resistor RS, the currents I, IL and IZ, power in the diode, why the output stays fixed, the safe current and least series resistance, and the test-first trap, with two JEE-style solved problems.https://rankdeterminant.com/media/v/phy-u19-ch4-c1.mp4?v=f8f55e915d-f8d3eb4782026-10-28yes https://rankdeterminant.com/v/phy-u19-ch4-c2https://rankdeterminant.com/media/v/phy-u19-ch4-c2.jpg?v=4a738c927f-1dfc5eThe Light-Emitting Diode | JEE Physics (English)How a light-emitting diode works: a heavily doped p-n junction in forward bias, recombination and photon energy close to the band gap, the 1240/Eg shortcut for wavelength, the band gaps that give visible light, why silicon and germanium are not used, knee voltage from red to blue, the low reverse breakdown and the series resistor, with two JEE-style solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch4-c2.mp4?v=4a738c927f-1dfc5e4762026-10-28yes https://rankdeterminant.com/v/phy-u19-ch4-c3https://rankdeterminant.com/media/v/phy-u19-ch4-c3.jpg?v=8dbd63bb65-e6fc8aThe Photodiode | JEE Physics (English)Why a photodiode is used in reverse bias, how light with photon energy above the band gap makes electron-hole pairs, the longest wavelength it can detect from hc/Eg and the 1240 shortcut, the dark current, and two solved JEE-style problems on detection and on the fractional change in majority and minority carriers.https://rankdeterminant.com/media/v/phy-u19-ch4-c3.mp4?v=8dbd63bb65-e6fc8a4942026-10-28yes https://rankdeterminant.com/v/phy-u19-ch4-c4https://rankdeterminant.com/media/v/phy-u19-ch4-c4.jpg?v=2a0669ecbe-138044The Solar Cell | JEE Physics (English)How a solar cell works with no external bias: generation, separation and collection of electron-hole pairs, why its I-V characteristic lies in the fourth quadrant, the open-circuit voltage, short-circuit current and fill factor, the best band gaps near 1.5 eV, efficiency, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch4-c4.mp4?v=2a0669ecbe-1380444722026-10-28yes https://rankdeterminant.com/v/phy-u19-ch4-c5https://rankdeterminant.com/media/v/phy-u19-ch4-c5.jpg?v=ebf2b633a4-f6ce8cEarlier JEE Main Questions: Special Diodes | JEE Physics (English)Solved earlier JEE Main questions on special-purpose diodes: how the photocurrent of a photodiode changes with bias (2020), the band gap from the longest wavelength detected (2020), naming a diode, Zener diode, solar cell and light-dependent resistance from their I-V curves (2016), LED threshold voltages from red to blue (2013), and Zener regulator currents with the test-first trap (2019).https://rankdeterminant.com/media/v/phy-u19-ch4-c5.mp4?v=ebf2b633a4-f6ce8c5212026-10-28yes https://rankdeterminant.com/v/phy-u19-ch5-c1https://rankdeterminant.com/media/v/phy-u19-ch5-c1.jpg?v=b33b9b71d5-dd834cDigital Signals and the Basic Gates | JEE Physics (English)Logic gates from the start: digital signals with two levels, truth tables and Boolean expressions, why n inputs give 2 to the power n rows, the OR, AND and NOT gates, why 1 + 1 = 1 in Boolean algebra, the series and parallel switch models, the held-input trick, and two JEE-style solved problems on bit-by-bit inputs and Boolean expressions.https://rankdeterminant.com/media/v/phy-u19-ch5-c1.mp4?v=b33b9b71d5-dd834c4842026-10-28yes https://rankdeterminant.com/v/phy-u19-ch5-c2https://rankdeterminant.com/media/v/phy-u19-ch5-c2.jpg?v=d43eccccfb-a87385NAND and NOR: the Universal Gates | JEE Physics (English)NAND and NOR gates for JEE and Class 12 physics: Boolean expressions and truth tables, why they are called universal gates, how to build NOT, AND and OR from NAND gates alone or from NOR gates alone, the gate counts to remember, and two solved problems: bit-by-bit outputs, and the least number of NAND gates needed to make a NOR gate.https://rankdeterminant.com/media/v/phy-u19-ch5-c2.mp4?v=d43eccccfb-a873854762026-10-28yes https://rankdeterminant.com/v/phy-u19-ch5-c3https://rankdeterminant.com/media/v/phy-u19-ch5-c3.jpg?v=81816c6fd1-7d7ca5Boolean Algebra and De Morgan's Theorems | JEE Physics (English)Boolean algebra for logic gates made simple: why 1 + 1 = 1, the rules with 0, 1 and the bar, both distributive laws, absorption (A + AB = A, but A + A-bar B = A + B), De Morgan's theorems with the 'break the bar and change the sign' trick and a truth-table check, and two solved simplifications from the course.https://rankdeterminant.com/media/v/phy-u19-ch5-c3.mp4?v=81816c6fd1-7d7ca54762026-10-28yes https://rankdeterminant.com/v/phy-u19-ch5-c4https://rankdeterminant.com/media/v/phy-u19-ch5-c4.jpg?v=dbed9d4346-896301Combinations of Gates | JEE Physics (English)How to read any combination of logic gates: label every gate from the inputs to the output, the exclusive OR (XOR) and exclusive NOR (XNOR) gates with their Boolean expressions and truth tables, input waveforms cut into time intervals, the staircase lamp puzzle, and an XOR built from four NAND gates using De Morgan's theorem, with two JEE-style solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch5-c4.mp4?v=dbed9d4346-8963014822026-10-28yes https://rankdeterminant.com/v/phy-u19-ch5-c5https://rankdeterminant.com/media/v/phy-u19-ch5-c5.jpg?v=471f4fe92a-dd3a9bGates from Diodes and Switches | JEE Physics (English)How two diodes and a resistor make an OR gate and an AND gate, why real silicon diodes shift the output by about 0.7 V, why a NOT gate needs an amplifying device, and how switches and a lamp make AND, OR, NOT, NAND and NOR gates, with two JEE-style solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u19-ch5-c5.mp4?v=471f4fe92a-dd3a9b4862026-10-28yes https://rankdeterminant.com/v/phy-u19-ch5-c6https://rankdeterminant.com/media/v/phy-u19-ch5-c6.jpg?v=7c9212832e-176c5cAIEEE and Earlier JEE Main Questions: Logic Gates | JEE Physics (English)Past logic gate questions from JEE Main 2016 and AIEEE 2010, solved step by step: OR, AND and NOT with truth tables, NAND and NOR as universal gates, De Morgan's theorems (break the bar, change the sign), spotting an OR gate from when its output is low, the OR versus NAND trap, and why three NAND gates make an OR gate.https://rankdeterminant.com/media/v/phy-u19-ch5-c6.mp4?v=7c9212832e-176c5c4832026-10-28yes https://rankdeterminant.com/v/phy-u19-ch6-c1https://rankdeterminant.com/media/v/phy-u19-ch6-c1.jpg?v=0e01e117ae-af2c28Overview | JEE Physics (English)How to attack mixed JEE Main problems on electronic devices in about 100 seconds each: band gap and light, n-type and p-type doping, junction diode circuits, half-wave and full-wave rectifiers, the Zener regulator test, LED, photodiode and solar cell, and NAND and NOR gates. Two solved problems: light on gallium arsenide, and the current in a Zener diode.https://rankdeterminant.com/media/v/phy-u19-ch6-c1.mp4?v=0e01e117ae-af2c285002026-10-28yes https://rankdeterminant.com/v/phy-u19-ch6-c2https://rankdeterminant.com/media/v/phy-u19-ch6-c2.jpg?v=9c4c766056-0d5ff2Set 1 | JEE Physics (English)A problem class on semiconductors and diodes for JEE Main: when light can create electron-hole pairs, the band gap of an LED, doping and why a p-type crystal stays neutral, the rule ne times nh equals ni squared, ideal and real diodes in a circuit, and the Zener voltage regulator, with two solved problems and their traps.https://rankdeterminant.com/media/v/phy-u19-ch6-c2.mp4?v=9c4c766056-0d5ff24902026-10-28yes https://rankdeterminant.com/v/phy-u19-ch6-c3https://rankdeterminant.com/media/v/phy-u19-ch6-c3.jpg?v=7c2c3bcf2c-0b0af4Set 2 | JEE Physics (English)Mixed JEE Main-pattern problems on electronic devices: the mass action law for boron-doped silicon, why a p-type crystal stays neutral, the current through a real diode with a knee voltage and a forward resistance, the Zener voltage regulator, the longest wavelength a 0.67 eV semiconductor can absorb, and the least series resistance that protects a 6 V, 0.3 W Zener diode on a 9 V supply.https://rankdeterminant.com/media/v/phy-u19-ch6-c3.mp4?v=7c2c3bcf2c-0b0af44862026-10-28yes https://rankdeterminant.com/v/phy-u2-ch1-c1https://rankdeterminant.com/media/v/phy-u2-ch1-c1.jpg?v=95a4b40c47Scalars, Vectors and Displacement | JEE Physics (English)Scalars and vectors for JEE: magnitude, direction and the triangle law, why electric current is a scalar, unit vectors, equal and negative vectors, the zero vector, the position vector, displacement versus distance, and two solved problems: a walk of 3 m east and 4 m north, and when three vectors can add up to zero.https://rankdeterminant.com/media/v/phy-u2-ch1-c1.mp4?v=95a4b40c475072026-10-14yes https://rankdeterminant.com/v/phy-u2-ch1-c2https://rankdeterminant.com/media/v/phy-u2-ch1-c2.jpg?v=188be07bcc-e5b73aAddition and Subtraction of Vectors | JEE Physics (English)Addition and subtraction of vectors for JEE: the triangle and parallelogram laws, the resultant formula R = root of (A squared + B squared + 2AB cos theta) and its direction, the range |A - B| to A + B, subtraction by reversing a vector, the equal-vectors and polygon shortcuts, and two solved problems: two 10 N forces at 120 degrees, and vectors of 5 and 3 at 60 degrees.https://rankdeterminant.com/media/v/phy-u2-ch1-c2.mp4?v=188be07bcc-e5b73a4942026-10-16yes https://rankdeterminant.com/v/phy-u2-ch1-c3https://rankdeterminant.com/media/v/phy-u2-ch1-c3.jpg?v=f44d5e5609Components and Unit Vectors | JEE Physics (English)How to resolve a vector into components: A cos theta and A sin theta, the magnitude by Pythagoras, unit vectors i, j, k, writing any vector in three dimensions, the unit vector along a vector, direction cosines and why their squares add to one, component-by-component addition, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u2-ch1-c3.mp4?v=f44d5e56095042026-10-13yes https://rankdeterminant.com/v/phy-u2-ch1-c4https://rankdeterminant.com/media/v/phy-u2-ch1-c4.jpg?v=a08d859088The Dot Product | JEE Physics (English)The dot (scalar) product of two vectors: A B cos theta, the component formula, i cap dot i cap and i cap dot j cap, finding the angle between vectors, the perpendicular test, the projection of one vector on another, work and power as dot products, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u2-ch1-c4.mp4?v=a08d8590885052026-10-13yes https://rankdeterminant.com/v/phy-u2-ch1-c5https://rankdeterminant.com/media/v/phy-u2-ch1-c5.jpg?v=9377059286-6aecd0The Cross Product | JEE Physics (English)The cross product of two vectors: magnitude A B sin theta, direction by the right-hand rule, the i j k determinant with its plus-minus-plus signs, why B cross A is minus A cross B, the parallel-vector test, areas of parallelograms and triangles, torque and angular momentum, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u2-ch1-c5.mp4?v=9377059286-6aecd05052026-10-16yes https://rankdeterminant.com/v/phy-u2-ch1-c6https://rankdeterminant.com/media/v/phy-u2-ch1-c6.jpg?v=cbbcd30c19Vectors in the Description of Motion | JEE Physics (English)How to describe motion with vectors: the position vector r(t) in i, j, k components, velocity as dr/dt and acceleration as dv/dt, average velocity and average acceleration, why speed is the magnitude of the velocity vector, the vector-subtraction trap, and two JEE-style solved problems from the course.https://rankdeterminant.com/media/v/phy-u2-ch1-c6.mp4?v=cbbcd30c194792026-10-13yes https://rankdeterminant.com/v/phy-u2-ch2-c1https://rankdeterminant.com/media/v/phy-u2-ch2-c1.jpg?v=b58b32f1b0Speed, Velocity and their Averages | JEE Physics (English)Average speed and average velocity for JEE: signed position, displacement and velocity on a straight line, why average speed is never less than the size of average velocity, the harmonic mean for equal distances, the arithmetic mean for equal times, km/h to m/s in one step, and two solved problems with the classic 45 km/h trap.https://rankdeterminant.com/media/v/phy-u2-ch2-c1.mp4?v=b58b32f1b05092026-10-14yes https://rankdeterminant.com/v/phy-u2-ch2-c2https://rankdeterminant.com/media/v/phy-u2-ch2-c2.jpg?v=c779e8fb6cUniformly Accelerated Motion | JEE Physics (English)The four equations of motion for uniformly accelerated motion, explained for JEE: v = u + at, s = ut + at²/2, v² = u² + 2as and s = (u + v)t/2, the topper's trick for picking the right equation, distance in the nth second with the 1:3:5 and 1:4:9 ratios, and the displacement versus distance trap at a turning point, with two solved problems.https://rankdeterminant.com/media/v/phy-u2-ch2-c2.mp4?v=c779e8fb6c5232026-10-14yes https://rankdeterminant.com/v/phy-u2-ch2-c3https://rankdeterminant.com/media/v/phy-u2-ch2-c3.jpg?v=0fd2accd07Motion under Gravity | JEE Physics (English)Vertical motion for JEE with one sign rule, up positive and a = -g: maximum height u²/2g, time of flight 2u/g, the same speed at every level, free fall from a height, the 1:3:5 odd-number pattern, a ball thrown from a tower, a packet released from a rising balloon, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u2-ch2-c3.mp4?v=0fd2accd074872026-10-14yes https://rankdeterminant.com/v/phy-u2-ch2-c4https://rankdeterminant.com/media/v/phy-u2-ch2-c4.jpg?v=09c2f1b00bTwo Bodies and Two Stages | JEE Physics (English)How to solve two-body chase problems in motion in a straight line for JEE: one clock for both bodies, t minus t0 for a body that starts later, meeting when the positions are equal, the largest or smallest gap when the velocities are equal, the equal-speed trap, and two solved problems: a car overtaking a car and a police jeep catching a speeding car.https://rankdeterminant.com/media/v/phy-u2-ch2-c4.mp4?v=09c2f1b00b4792026-10-14yes https://rankdeterminant.com/v/phy-u2-ch3-c1https://rankdeterminant.com/media/v/phy-u2-ch3-c1.jpg?v=4d5540dc2cMotion Graphs | JEE Physics (English)How to read motion graphs for JEE: the slope of the x–t graph is velocity, the slope of the v–t graph is acceleration, signed area gives displacement and total area gives distance, the area under the a–t graph gives change in velocity, the v–x graph trap, graphs that cannot happen, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u2-ch3-c1.mp4?v=4d5540dc2c5312026-10-14yes https://rankdeterminant.com/v/phy-u2-ch3-c2https://rankdeterminant.com/media/v/phy-u2-ch3-c2.jpg?v=bed33970ca-7daa59Variable Acceleration | JEE Physics (English)Variable acceleration for JEE kinematics: why v = u + at fails when the acceleration changes, a = dv/dt = v dv/dx, what to integrate when the acceleration depends on time, velocity or position, displacement versus distance by splitting at the zeros of v, and two solved problems: a = 6t, and a = 4 - 2x, where the particle is fastest.https://rankdeterminant.com/media/v/phy-u2-ch3-c2.mp4?v=bed33970ca-7daa594892026-10-16yes https://rankdeterminant.com/v/phy-u2-ch4-c1https://rankdeterminant.com/media/v/phy-u2-ch4-c1.jpg?v=65aee6f4ecMotion in a Plane with Constant Acceleration | JEE Physics (English)Motion in a plane for JEE kinematics: the vector equations v = u + at and r = r0 + ut + 1/2 at², splitting the motion into x and y components that share only the time, the topper's trick of solving two one-dimensional problems, the classic speed trap (3 + 4 is not 7), and two solved problems: a particle with u = 3i and a = 2j, and a boat from rest that moves in a straight line.https://rankdeterminant.com/media/v/phy-u2-ch4-c1.mp4?v=65aee6f4ec5122026-10-14yes https://rankdeterminant.com/v/phy-u2-ch4-c2https://rankdeterminant.com/media/v/phy-u2-ch4-c2.jpg?v=ef8d764b51Projectile Motion from the Ground | JEE Physics (English)Projectile motion from the ground for JEE: why the horizontal velocity never changes, the time of flight, maximum height and range formulas, maximum range at 45 degrees, why 30 and 60 degrees land at the same spot, the equation of the path, tan theta = 4H/R, the speed at the top, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u2-ch4-c2.mp4?v=ef8d764b515192026-10-14yes https://rankdeterminant.com/v/phy-u2-ch4-c3https://rankdeterminant.com/media/v/phy-u2-ch4-c3.jpg?v=d44290a0deVelocity at an Instant | JEE Physics (English)How to find the velocity of a projectile at any instant for JEE: vx = u cos theta stays constant, vy = u sin theta - gt, the speed and the direction tan phi = vy/vx, why the speed at height h is root(u^2 - 2gh) whatever the angle, the velocity at the top, the change in velocity and the average velocity over the whole flight, and two solved problems.https://rankdeterminant.com/media/v/phy-u2-ch4-c3.mp4?v=d44290a0de5402026-10-14yes https://rankdeterminant.com/v/phy-u2-ch4-c4https://rankdeterminant.com/media/v/phy-u2-ch4-c4.jpg?v=ade7ba94e1Horizontal Projection and Projection from a Height | JEE Physics (English)Horizontal projection for JEE kinematics: why the time of fall t = root(2h/g) depends only on the height, the horizontal distance, the landing speed root(u² + 2gh) and its angle below the horizontal, packets dropped from a moving plane, projection at an angle from a cliff with y = -h, the classic traps, and two solved cliff problems.https://rankdeterminant.com/media/v/phy-u2-ch4-c4.mp4?v=ade7ba94e15122026-10-14yes https://rankdeterminant.com/v/phy-u2-ch4-c5https://rankdeterminant.com/media/v/phy-u2-ch4-c5.jpg?v=86807602d3Projectiles on an Inclined Plane | JEE Physics (English)Projectile motion on an inclined plane for JEE kinematics: axes along and across the incline, a = -g sin α and -g cos α, time of flight 2u sin θ / g cos α, range up the plane, maximum range u²/g(1 ± sin α) up and down, the angle 45° - α/2, striking the incline at right angles (cot θ = 2 tan α), the classic θ trap, and two solved problems.https://rankdeterminant.com/media/v/phy-u2-ch4-c5.mp4?v=86807602d35152026-10-14yes https://rankdeterminant.com/v/phy-u2-ch5-c1https://rankdeterminant.com/media/v/phy-u2-ch5-c1.jpg?v=3d5eed7acdRelative Velocity in One Dimension | JEE Physics (English)Relative velocity for JEE kinematics: the velocity of B relative to A is v B minus v A, why speeds subtract in the same direction and add in opposite directions, the topper's trick of sitting on one body, zero relative acceleration in free fall, and two solved problems: overtaking and crossing trains, and a ball thrown up inside an accelerating lift.https://rankdeterminant.com/media/v/phy-u2-ch5-c1.mp4?v=3d5eed7acd4962026-10-14yes https://rankdeterminant.com/v/phy-u2-ch5-c2https://rankdeterminant.com/media/v/phy-u2-ch5-c2.jpg?v=a311e3ff54Relative Velocity in Two Dimensions: Rain and Wind | JEE Physics (English)Relative velocity in two dimensions for JEE: why rain falling straight down seems to come from the front when you walk, the umbrella angle from tan theta = v_m / v_r, which way to tilt it, the aircraft and wind relation, and two solved rain problems, including the classic two-speed question, with the traps students fall for.https://rankdeterminant.com/media/v/phy-u2-ch5-c2.mp4?v=a311e3ff544522026-10-14yes https://rankdeterminant.com/v/phy-u2-ch5-c3https://rankdeterminant.com/media/v/phy-u2-ch5-c3.jpg?v=9e8d07a6d6Crossing a River | JEE Physics (English)River and boat problems for JEE: why heading straight across gives the least crossing time t = d/v with a drift of ud/v, how to head upstream at sin phi = u/v to land exactly opposite, why that takes longer, the least drift when the boat is slower than the current, downstream and upstream speeds, and two solved boat problems with the classic traps.https://rankdeterminant.com/media/v/phy-u2-ch5-c3.mp4?v=9e8d07a6d64812026-10-14yes https://rankdeterminant.com/v/phy-u2-ch5-c4https://rankdeterminant.com/media/v/phy-u2-ch5-c4.jpg?v=95c960fc75-332948Closest Approach and Constrained Motion | JEE Physics (English)Closest approach in relative motion for JEE kinematics: sit in one body's frame so the other moves in a straight line, the least distance d_min = |r0 × v| / |v| and the time it occurs, the quick shortcut in a plane, when two bodies collide, the string constraint v cos θ = u with the classic u cos θ trap, and two solved problems including the two ships question.https://rankdeterminant.com/media/v/phy-u2-ch5-c4.mp4?v=95c960fc75-3329484982026-10-17yes https://rankdeterminant.com/v/phy-u2-ch6-c1https://rankdeterminant.com/media/v/phy-u2-ch6-c1.jpg?v=6b9b56ef0dAngular Variables | JEE Physics (English)Angular variables for JEE circular motion: angular position, angular velocity and angular acceleration, s = rθ and v = ωr, period and frequency, converting rpm to rad/s, the three equations for constant angular acceleration, the number-of-revolutions trap, and two solved problems: a wheel at 120 rpm and a fan that stops in 10 s.https://rankdeterminant.com/media/v/phy-u2-ch6-c1.mp4?v=6b9b56ef0d5172026-10-14yes https://rankdeterminant.com/v/phy-u2-ch6-c2https://rankdeterminant.com/media/v/phy-u2-ch6-c2.jpg?v=d00f8f26ffCentripetal Acceleration | JEE Physics (English)Centripetal acceleration for JEE circular motion: why a body moving at constant speed on a circle still accelerates, why the acceleration points to the centre, a = v²/r = ω²r = ωv, the vector form a = −ω²r, the change in velocity over half and quarter revolutions (2v and √2v), the bigger-circle trap, and two solved problems including average versus centripetal acceleration.https://rankdeterminant.com/media/v/phy-u2-ch6-c2.mp4?v=d00f8f26ff5092026-10-14yes https://rankdeterminant.com/v/phy-u2-ch6-c3https://rankdeterminant.com/media/v/phy-u2-ch6-c3.jpg?v=45f73ecbcdNon-uniform Circular Motion | JEE Physics (English)Non-uniform circular motion for JEE: tangential acceleration a_t = dv/dt = rα along the velocity, centripetal acceleration v²/r towards the centre, total acceleration √(a_t² + a_c²), the angle with the velocity, speed from the arc length s(t), the add-them trap, and two solved problems: a car braking on a curve and a particle with s = t² + 2t.https://rankdeterminant.com/media/v/phy-u2-ch6-c3.mp4?v=45f73ecbcd5002026-10-14yes https://rankdeterminant.com/v/phy-u2-ch7-c1https://rankdeterminant.com/media/v/phy-u2-ch7-c1.jpg?v=a921ce9b4cOverview | JEE Physics (English)How to use the mixed JEE Main-pattern kinematics problems like a real test: three sets on straight-line motion and graphs, vectors and projectiles, and relative and circular motion, one to two minutes a problem, g = 10, the try-first rule, and two solved problems: the average-speed trap and a ball thrown up from a moving truck.https://rankdeterminant.com/media/v/phy-u2-ch7-c1.mp4?v=a921ce9b4c4562026-10-14yes https://rankdeterminant.com/v/phy-u2-ch7-c2https://rankdeterminant.com/media/v/phy-u2-ch7-c2.jpg?v=570b43c6b1-899a53Mixed Problems: Set 1 (Straight Line and Graphs) | JEE Physics (English)Motion in a straight line and graphs in one JEE Main style mixed set: average speed over equal distances (the harmonic mean, not the plain mean), distance in the nth second, why stopping distance goes as speed squared, the area under a v-t graph, the topper's formula for the top speed, and distance versus displacement when a particle turns back.https://rankdeterminant.com/media/v/phy-u2-ch7-c2.mp4?v=570b43c6b1-899a534342026-10-16yes https://rankdeterminant.com/v/phy-u2-ch7-c3https://rankdeterminant.com/media/v/phy-u2-ch7-c3.jpg?v=d4be72e9aaMixed Problems: Set 2 (Vectors and Projectiles) | JEE Physics (English)JEE Main-pattern mixed problems on vectors and projectiles: the angle between two vectors from their magnitudes, the time of flight, maximum height and range formulas, the topper's ratio trick for two throws at the same speed, why the same range does not mean the same time of flight, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u2-ch7-c3.mp4?v=d4be72e9aa4352026-10-14yes https://rankdeterminant.com/v/phy-u2-ch7-c4https://rankdeterminant.com/media/v/phy-u2-ch7-c4.jpg?v=20567956b9Mixed Problems: Set 3 (Relative and Circular Motion) | JEE Physics (English)Set 3 of mixed JEE Main-pattern kinematics problems: the velocity of one car relative to another, the total acceleration on a circle when s = t³, the clock-hand trap (tip speeds 1:80, not 1:60), and a bolt falling inside a rising lift, solved in the lift's own frame.https://rankdeterminant.com/media/v/phy-u2-ch7-c4.mp4?v=20567956b94612026-10-14yes https://rankdeterminant.com/v/phy-u2-ch8-c1https://rankdeterminant.com/media/v/phy-u2-ch8-c1.jpg?v=8233132883Overview | JEE Physics (English)How to use the kinematics unit problem bank: Part A as a 40-minute JEE Main-level test after Chapters 1 to 7, Part B's longer JEE Advanced problems on variable acceleration, projectiles over walls and from towers, and relative motion, Part C's true/false and assertion-reason checks, and two solved problems: a packet released from a rising balloon and a projectile that just clears two walls.https://rankdeterminant.com/media/v/phy-u2-ch8-c1.mp4?v=82331328834502026-10-14yes https://rankdeterminant.com/v/phy-u2-ch8-c2https://rankdeterminant.com/media/v/phy-u2-ch8-c2.jpg?v=5539bce3cbPart A: JEE Main Level | JEE Physics (English)Five JEE Main-level kinematics problems from the unit problem bank, solved fast: the greatest velocity where a = 0, why v = 0 does not always mean turning back, two balls meeting in free fall with zero relative acceleration, the least-time river crossing and its drift, and the braking-car trap where the car has already stopped.https://rankdeterminant.com/media/v/phy-u2-ch8-c2.mp4?v=5539bce3cb4632026-10-14yes https://rankdeterminant.com/v/phy-u2-ch8-c4https://rankdeterminant.com/media/v/phy-u2-ch8-c4.jpg?v=3aca3c0614Part C: Concept Checks | JEE Physics (English)Quick kinematics concept checks for JEE Physics, taught like a live class: the three checks for every assertion–reason question, why zero velocity does not mean zero acceleration, what a constant acceleration can and cannot do, which motion graphs are impossible, and why uniform circular motion has an acceleration even at constant speed.https://rankdeterminant.com/media/v/phy-u2-ch8-c4.mp4?v=3aca3c06144392026-10-14yes https://rankdeterminant.com/v/phy-u3-ch1-c1https://rankdeterminant.com/media/v/phy-u3-ch1-c1.jpg?v=f599dd6c12Force, Inertia and the First Law | JEE Physics (English)Newton's first law of motion for JEE: what a force is, inertia and why mass measures it, why you fall forward when a bus brakes, why zero net force means zero acceleration and not zero velocity, inertial frames, and two solved problems: finding the balancing third force, and the acceleration when one force is suddenly removed.https://rankdeterminant.com/media/v/phy-u3-ch1-c1.mp4?v=f599dd6c125172026-10-14yes https://rankdeterminant.com/v/phy-u3-ch1-c2https://rankdeterminant.com/media/v/phy-u3-ch1-c2.jpg?v=8d5883e973Momentum and the Second Law | JEE Physics (English)Newton's second law in momentum form for JEE: linear momentum p = mv and its unit, F = dp/dt and F = ma for constant mass, the law for each component, and how to handle a force that changes with time, position or velocity using dv and v dv. Two solved problems: an average force from a change in velocity, and a speed under F = -8x.https://rankdeterminant.com/media/v/phy-u3-ch1-c2.mp4?v=8d5883e9735172026-10-14yes https://rankdeterminant.com/v/phy-u3-ch1-c3https://rankdeterminant.com/media/v/phy-u3-ch1-c3.jpg?v=eca5d629b8Impulse | JEE Physics (English)Impulse for JEE Physics, taught like a live class: impulse as the area under the force–time graph, impulse equals change in momentum, average force, a ball rebounding from a wall (why the speeds add), impulsive forces, and why bent knees and drawn-back hands reduce the force, with two solved problems and the common sign trap.https://rankdeterminant.com/media/v/phy-u3-ch1-c3.mp4?v=eca5d629b84992026-10-14yes https://rankdeterminant.com/v/phy-u3-ch1-c4https://rankdeterminant.com/media/v/phy-u3-ch1-c4.jpg?v=1c0f1b23b6The Third Law and Conservation of Momentum | JEE Physics (English)Newton's third law and the conservation of linear momentum for JEE Physics, taught like a live class: action–reaction pairs act on different bodies, why the normal force and the weight are not a pair, momentum conserved in one component, gun recoil, a body breaking into two pieces and its kinetic energy ratio, and the relative-velocity trap, with two solved problems.https://rankdeterminant.com/media/v/phy-u3-ch1-c4.mp4?v=1c0f1b23b65052026-10-14yes https://rankdeterminant.com/v/phy-u3-ch1-c5https://rankdeterminant.com/media/v/phy-u3-ch1-c5.jpg?v=46a7645c57Thrust: Forces from a Stream of Mass | JEE Physics (English)Thrust for JEE Physics, taught like a live class: the momentum-flow formula F = u dm/dt, the force to hold a machine gun (nmv), a liquid jet hitting a wall (rho A v squared, doubled on rebound), rocket thrust with gravity, the rocket in free space, and the conveyor belt, with two solved problems and the classic forgotten-weight trap.https://rankdeterminant.com/media/v/phy-u3-ch1-c5.mp4?v=46a7645c574802026-10-14yes https://rankdeterminant.com/v/phy-u3-ch2-c1https://rankdeterminant.com/media/v/phy-u3-ch2-c1.jpg?v=3d8a8d09e9The Common Forces | JEE Physics (English)The common forces of mechanics for JEE: weight W = mg, the self-adjusting normal force, friction and the total contact force, tension in a light string over a light frictionless pulley, and Hooke's law F = kx. Springs in series and in parallel, a spring cut into equal pieces, and why a spring balance with 5 kg hanging from each end reads 50 N, not 100 N. Two solved problems.https://rankdeterminant.com/media/v/phy-u3-ch2-c1.mp4?v=3d8a8d09e94862026-10-14yes https://rankdeterminant.com/v/phy-u3-ch2-c2https://rankdeterminant.com/media/v/phy-u3-ch2-c2.jpg?v=d837c82f6e-e3be66Free-body Diagrams | JEE Physics (English)How to draw a free-body diagram for JEE Physics, taught like a live class: isolate the body, draw every force on it (weight, normal, friction, tension, spring, applied), choose axes along and across the acceleration, write the second law on each axis and add a constraint. Solved: a block on a smooth incline, and a man holding himself and a platform up with a rope.https://rankdeterminant.com/media/v/phy-u3-ch2-c2.mp4?v=d837c82f6e-e3be665022026-10-16yes https://rankdeterminant.com/v/phy-u3-ch2-c3https://rankdeterminant.com/media/v/phy-u3-ch2-c3.jpg?v=fc2b8ae079-a0d890Equilibrium of Concurrent Forces | JEE Physics (English)Equilibrium of concurrent forces for JEE Physics, taught like a live class: the conditions that the x and y components add to zero, why three forces in equilibrium close a triangle, Lami's theorem and which angle goes with which force, the topper's trick for two strings at right angles, and two solved problems on a force ratio and string tensions, with the common traps.https://rankdeterminant.com/media/v/phy-u3-ch2-c3.mp4?v=fc2b8ae079-a0d8905012026-10-16yes https://rankdeterminant.com/v/phy-u3-ch2-c4https://rankdeterminant.com/media/v/phy-u3-ch2-c4.jpg?v=050a5c489a-a61f30Ropes, Chains and Spring Balances | JEE Physics (English)Tension in a heavy rope for JEE Physics, taught like a live class: why the tension at a point of a hanging rope is the weight of everything below it, a rope pulling a block on a smooth floor, the tension F(1 - l/L) in a pulled uniform rope, what a spring balance reads, and a chain hanging between two supports. Solved: a rope with a block hanging from a ceiling, and the tension at the supports and the lowest point of a chain.https://rankdeterminant.com/media/v/phy-u3-ch2-c4.mp4?v=050a5c489a-a61f304732026-10-16yes https://rankdeterminant.com/v/phy-u3-ch3-c1https://rankdeterminant.com/media/v/phy-u3-ch3-c1.jpg?v=2429ae51f4Bodies Moving Together | JEE Physics (English)How to solve connected-body problems in JEE laws of motion: treat blocks that move together as one system, a = F(ext) / total mass, then cut the string and find the tension or contact force from the mass beyond the cut. The tension trap, the mass-share shortcut, and two solved problems: three blocks in a line, and a man pulling himself up on a platform.https://rankdeterminant.com/media/v/phy-u3-ch3-c1.mp4?v=2429ae51f44812026-10-14yes https://rankdeterminant.com/v/phy-u3-ch3-c2https://rankdeterminant.com/media/v/phy-u3-ch3-c2.jpg?v=56f1a14147Pulleys | JEE Physics (English)Atwood machine and pulley problems for JEE Physics, taught like a live class: the acceleration and tension formulas, why the support of the pulley carries 2T, a block on a smooth table pulled by a hanging mass, blocks on a smooth incline and a double incline, the net pull over total mass trick, and two solved examples with the classic tension trap.https://rankdeterminant.com/media/v/phy-u3-ch3-c2.mp4?v=56f1a141474872026-10-14yes https://rankdeterminant.com/v/phy-u3-ch3-c3https://rankdeterminant.com/media/v/phy-u3-ch3-c3.jpg?v=4e129450b8Constraint Relations | JEE Physics (English)How to write constraint relations in JEE laws of motion: keep the string length fixed and set its rate of change to zero, the movable pulley that moves half as far and feels 2T, the average rule for a pulley's acceleration, the common normal for bodies in contact, and two solved problems: a pulley's velocity with signs, and a block on a table with a movable pulley.https://rankdeterminant.com/media/v/phy-u3-ch3-c3.mp4?v=4e129450b84802026-10-14yes https://rankdeterminant.com/v/phy-u3-ch3-c4https://rankdeterminant.com/media/v/phy-u3-ch3-c4.jpg?v=6dbe03a623Springs and Sudden Changes | JEE Physics (English)What changes in an instant when a string is cut: why a spring force cannot jump while tension and the normal force can, the puzzle of two blocks below a spring where the upper block jumps upwards, two springs side by side with one cut, and a ball held by a spring and a string compared with two strings. Laws of Motion for JEE Physics, taught like a live class with the classic traps.https://rankdeterminant.com/media/v/phy-u3-ch3-c4.mp4?v=6dbe03a6235482026-10-14yes https://rankdeterminant.com/v/phy-u3-ch3-c5https://rankdeterminant.com/media/v/phy-u3-ch3-c5.jpg?v=48035fbc94Chains and Ropes over Edges and Pulleys | JEE Physics (English)Chains and ropes over edges and pegs for JEE Physics, taught like a live class: why a chain hanging over a smooth table edge has acceleration x over L times g, the rope over a small smooth peg as an Atwood machine, how to find the tension at any cut, the topper's choose-the-simpler-side trick, and two solved examples with the classic free-fall and tension traps.https://rankdeterminant.com/media/v/phy-u3-ch3-c5.mp4?v=48035fbc944892026-10-14yes https://rankdeterminant.com/v/phy-u3-ch4-c1https://rankdeterminant.com/media/v/phy-u3-ch4-c1.jpg?v=d4d83d8bb4Pseudo Forces | JEE Physics (English)Pseudo forces for JEE: why Newton's laws need an extra force inside an accelerating, non-rotating frame, the pseudo force minus m a nought, effective gravity g minus a nought, why a hanging bob tilts back in an accelerating car, a block at rest on a smooth wedge, the ground-frame trap, and two solved problems: the passenger in a train and the ball dropped in a train.https://rankdeterminant.com/media/v/phy-u3-ch4-c1.mp4?v=d4d83d8bb44942026-10-14yes https://rankdeterminant.com/v/phy-u3-ch4-c2https://rankdeterminant.com/media/v/phy-u3-ch4-c2.jpg?v=13008d63bb-c633aeLifts and Apparent Weight | JEE Physics (English)Lifts and apparent weight for JEE Physics, taught like a live class: why a weighing machine reads the normal force, N = m(g + a) when the lift accelerates up, m(g - a) when it accelerates down, mg at constant velocity and zero in free fall, the direction-of-acceleration trap, effective gravity inside the lift, and two solved examples from the course.https://rankdeterminant.com/media/v/phy-u3-ch4-c2.mp4?v=13008d63bb-c633ae4892026-10-16yes https://rankdeterminant.com/v/phy-u3-ch4-c3https://rankdeterminant.com/media/v/phy-u3-ch4-c3.jpg?v=da9fad125fAccelerating Vehicles | JEE Physics (English)Bobs, plumb lines and pendulums in accelerating vehicles for JEE Physics, taught like a live class: why a bob in a car tilts back at tan inverse a over g, why the tension is m root of g squared plus a squared and not mg, the period of a pendulum in the car, effective gravity on an incline, and two solved examples from the course, including a trolley sliding freely down a smooth incline.https://rankdeterminant.com/media/v/phy-u3-ch4-c3.mp4?v=da9fad125f4682026-10-14yes https://rankdeterminant.com/v/phy-u3-ch4-c4https://rankdeterminant.com/media/v/phy-u3-ch4-c4.jpg?v=fa10b9b5ef-22c4e2Wedges | JEE Physics (English)Wedge problems for JEE: sit on the accelerating wedge, add the pseudo force m a0, and resolve along and across the smooth face to get the relative acceleration and the normal force. When the block stays at rest (a0 = g tan theta), the sign trap when the wedge moves the other way, the free wedge on a smooth floor, and two solved problems.https://rankdeterminant.com/media/v/phy-u3-ch4-c4.mp4?v=fa10b9b5ef-22c4e24872026-10-16yes https://rankdeterminant.com/v/phy-u3-ch5-c1https://rankdeterminant.com/media/v/phy-u3-ch5-c1.jpg?v=d9ab3b7134Static and Kinetic Friction | JEE Physics (English)Static and kinetic friction for JEE Physics, taught like a live class: what friction is, why static friction adjusts itself up to the limiting value mu s N, why friction drops to mu k N once a block slips, the trap that static friction is not always mu s N, the angle of friction and the angle of repose, and two solved examples from the course.https://rankdeterminant.com/media/v/phy-u3-ch5-c1.mp4?v=d9ab3b71345092026-10-14yes https://rankdeterminant.com/v/phy-u3-ch5-c2https://rankdeterminant.com/media/v/phy-u3-ch5-c2.jpg?v=288f4a9ea5Rough Horizontal Surfaces | JEE Physics (English)Blocks on rough horizontal floors for JEE Physics, taught like a live class: retardation mu g, stopping distance and stopping time, why doubling the speed makes the stopping distance four times, pulling versus pushing at an angle, the least force at tan inverse mu above the horizontal, a block held against a wall, and two solved examples from the course.https://rankdeterminant.com/media/v/phy-u3-ch5-c2.mp4?v=288f4a9ea55132026-10-14yes https://rankdeterminant.com/v/phy-u3-ch5-c3https://rankdeterminant.com/media/v/phy-u3-ch5-c3.jpg?v=87c4a60f28Rough Inclines | JEE Physics (English)Blocks on rough inclines for JEE Physics, taught like a live class: which way friction acts, N equals mg cos theta, when a block rests by itself (tan theta at most mu s), sliding down with g(sin theta minus mu cos theta), going up with retardation g(sin theta plus mu cos theta), the range of forces that hold a block, the rough-versus-smooth time trick, and two solved examples from the course.https://rankdeterminant.com/media/v/phy-u3-ch5-c3.mp4?v=87c4a60f285062026-10-14yes https://rankdeterminant.com/v/phy-u3-ch5-c4https://rankdeterminant.com/media/v/phy-u3-ch5-c4.jpg?v=efcc08da4fMore about Friction | JEE Physics (English)Friction for JEE Physics, taught like a live class: why static friction on your feet and on a car's driving wheels acts forwards, rolling versus sliding friction, lubricants, the negative work done by kinetic friction (minus mu N s), when a block can rest on a rough curved surface, and two solved examples from the course with their classic traps.https://rankdeterminant.com/media/v/phy-u3-ch5-c4.mp4?v=efcc08da4f4722026-10-14yes https://rankdeterminant.com/v/phy-u3-ch6-c1https://rankdeterminant.com/media/v/phy-u3-ch6-c1.jpg?v=0548ed1f7b-c5e23cOne Block on Another | JEE Physics (English)Block on block friction for JEE Physics, taught like a live class: why friction alone moves the upper block, the largest force for which two blocks move together, the three-step two-block method, kinetic friction once they slip, pulling the upper versus the lower block on a smooth floor, and two solved examples from the course with the classic traps.https://rankdeterminant.com/media/v/phy-u3-ch6-c1.mp4?v=0548ed1f7b-c5e23c4972026-10-16yes https://rankdeterminant.com/v/phy-u3-ch6-c2https://rankdeterminant.com/media/v/phy-u3-ch6-c2.jpg?v=d01e3ff4ed-c96445Blocks on Moving Surfaces | JEE Physics (English)Blocks on moving surfaces for JEE Physics, taught like a live class: when a box on a truck floor starts to slip, why it still accelerates forwards at mu k g, how long a block slips on a conveyor belt and how far it slips back (v squared over 2 mu g), the tablecloth trick, and two solved examples from the course with their classic traps.https://rankdeterminant.com/media/v/phy-u3-ch6-c2.mp4?v=d01e3ff4ed-c964454792026-10-16yes https://rankdeterminant.com/v/phy-u3-ch6-c3https://rankdeterminant.com/media/v/phy-u3-ch6-c3.jpg?v=8311a6ed71Connected Bodies with Friction | JEE Physics (English)Connected bodies with friction for JEE Physics, taught like a live class: decide whether anything moves by comparing the driving force with the largest friction available, why static friction takes only the value needed (even zero), kinetic friction once bodies move, the tension trap, and two solved examples: a block on a rough table pulled by a hanging mass, and the range of hanging masses that hold a block on a rough incline.https://rankdeterminant.com/media/v/phy-u3-ch6-c3.mp4?v=8311a6ed714582026-10-14yes https://rankdeterminant.com/v/phy-u3-ch6-c4https://rankdeterminant.com/media/v/phy-u3-ch6-c4.jpg?v=7a2d9d0497-8a5c50Friction in Accelerating Frames | JEE Physics (English)Friction in accelerating frames for JEE Physics, taught like a live class: add the pseudo force, minus m a nought, then treat friction as on a surface at rest. Why a block stays on the front face of an accelerating cart when a is at least g over mu, the range of accelerations that keeps a block at rest on a rough wedge, and two solved examples from the course with their classic traps.https://rankdeterminant.com/media/v/phy-u3-ch6-c4.mp4?v=7a2d9d0497-8a5c504822026-10-16yes https://rankdeterminant.com/v/phy-u3-ch7-c1https://rankdeterminant.com/media/v/phy-u3-ch7-c1.jpg?v=ffbb3ebcc3Centripetal Force | JEE Physics (English)Centripetal force for JEE Physics, taught like a live class: why a body moving on a circle at constant speed still needs a net inward force mv²/r = mω²r, which real forces supply it (tension, friction, normal force, spring, gravity), why you must never draw an extra mv²/r arrow in the ground frame, and two solved examples from the course with their classic traps.https://rankdeterminant.com/media/v/phy-u3-ch7-c1.mp4?v=ffbb3ebcc35002026-10-14yes https://rankdeterminant.com/v/phy-u3-ch7-c2https://rankdeterminant.com/media/v/phy-u3-ch7-c2.jpg?v=bf241a087bLevel Curves, Banked Roads and Railway Tracks | JEE Physics (English)Banking of roads for JEE Physics, taught like a live class: why friction alone turns a car on a level curve and why its greatest speed does not depend on the mass, how a banked road turns a car with no friction at the design speed, friction up or down the slope, the greatest and least speeds, raising the outer rail, the leaning cyclist, and two solved examples from the course.https://rankdeterminant.com/media/v/phy-u3-ch7-c2.mp4?v=bf241a087b4902026-10-14yes https://rankdeterminant.com/v/phy-u3-ch7-c3https://rankdeterminant.com/media/v/phy-u3-ch7-c3.jpg?v=5eda61870fConical Pendulums and Rotating Bodies | JEE Physics (English)Conical pendulum, rotor and the well of death explained step by step: why the vertical forces balance, T = mω²l, cos θ = g/(ω²l), the period, the least spin of a rotor, the least speed on a vertical wall, a ball in a spinning smooth bowl, and two JEE-style solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u3-ch7-c3.mp4?v=5eda61870f4822026-10-14yes https://rankdeterminant.com/v/phy-u3-ch7-c4https://rankdeterminant.com/media/v/phy-u3-ch7-c4.jpg?v=f91d985a23Rotating Frames and Speeding Up on a Curve | JEE Physics (English)Centrifugal pseudo force in a rotating frame, taught like a live class: why you feel pushed outwards in a turning car, why there is no centrifugal force in the ground frame, how the earth's spin reduces the effective g at the equator by ω²R, and why a car speeding up on a level curve skids sooner, since friction must give both the tangential and the radial parts. Two solved examples from the course with their traps.https://rankdeterminant.com/media/v/phy-u3-ch7-c4.mp4?v=f91d985a234852026-10-14yes https://rankdeterminant.com/v/phy-u3-ch8-c1https://rankdeterminant.com/media/v/phy-u3-ch8-c1.jpg?v=4e6b5d1e89-29280aOverview | JEE Physics (English)How to use the mixed JEE Main-pattern problems on the laws of motion like a real test: three sets on momentum, equilibrium and pulleys, on friction and accelerated frames, and on circular motion, one to two minutes a problem, g = 10, the try-first rule, and two solved problems: a ball rebounding from a wall and two blocks that slip.https://rankdeterminant.com/media/v/phy-u3-ch8-c1.mp4?v=4e6b5d1e89-29280a4342026-10-16yes https://rankdeterminant.com/v/phy-u3-ch8-c2https://rankdeterminant.com/media/v/phy-u3-ch8-c2.jpg?v=0d05259b0e-70264bMixed Problems: Set 1 (Momentum, Equilibrium and Pulleys) | JEE Physics (English)Laws of motion mixed problems for JEE Main, solved like a live class: average force from the change in momentum and the rebound trap (add the speeds), a lamp hanging from two strings and why each tension is more than half its weight, an Atwood machine with its acceleration, tension and distance, and a movable pulley where one block moves twice as fast as the other.https://rankdeterminant.com/media/v/phy-u3-ch8-c2.mp4?v=0d05259b0e-70264b4842026-10-17yes https://rankdeterminant.com/v/phy-u3-ch8-c3https://rankdeterminant.com/media/v/phy-u3-ch8-c3.jpg?v=3930724453Mixed Problems: Set 2 (Friction and Accelerated Frames) | JEE Physics (English)Five JEE Main-pattern laws of motion problems on friction and accelerated frames, solved step by step: why static friction is not always mu N, constant speed down an incline giving mu = tan theta, a bob hanging in an accelerating car with a pseudo force, a block pressed against a wall, and a crate slipping on an accelerating truck.https://rankdeterminant.com/media/v/phy-u3-ch8-c3.mp4?v=39307244534962026-10-14yes https://rankdeterminant.com/v/phy-u3-ch8-c4https://rankdeterminant.com/media/v/phy-u3-ch8-c4.jpg?v=7b91cb4879Mixed Problems: Set 3 (Circular Motion) | JEE Physics (English)Set 3 of the mixed JEE Main-pattern problems on the laws of motion: circular motion. Find who supplies m v squared over r, the level-road limit root of mu g R, banked roads at the design speed, coins on turntables, friction when the speed changes, and two solved problems: the greatest safe speed on a level curve, and the least friction for a car braking on a curve.https://rankdeterminant.com/media/v/phy-u3-ch8-c4.mp4?v=7b91cb48794882026-10-14yes https://rankdeterminant.com/v/phy-u3-ch9-c1https://rankdeterminant.com/media/v/phy-u3-ch9-c1.jpg?v=f4171d7416Overview | JEE Physics (English)How to use the Laws of Motion unit problem bank: Part A as a 40-minute JEE Main test after Chapters 1–8, Part B JEE Advanced problems on free wedges, strings that jerk tight, turntables, cones and climbing ropes, Part C true/false and assertion–reason checks, the unit test, and two solved problems: a weighing machine in a lift, and a lighter monkey lifting a heavier block.https://rankdeterminant.com/media/v/phy-u3-ch9-c1.mp4?v=f4171d74164572026-10-14yes https://rankdeterminant.com/v/phy-u3-ch9-c2https://rankdeterminant.com/media/v/phy-u3-ch9-c2.jpg?v=226d01dd00Part A: JEE Main Level | JEE Physics (English)Four JEE Main-level laws of motion problems from the unit problem bank, solved step by step like a live class: what a weighing machine in a lift really reads, the impulse and average force when a bat sends a ball back, a body that keeps moving after the force is removed, and whether two stacked blocks move together when only the top one is pulled.https://rankdeterminant.com/media/v/phy-u3-ch9-c2.mp4?v=226d01dd005142026-10-14yes https://rankdeterminant.com/v/phy-u3-ch9-c4https://rankdeterminant.com/media/v/phy-u3-ch9-c4.jpg?v=e5e0eb34e3Part C: Concept Checks | JEE Physics (English)Laws of Motion concept checks for JEE Physics, taught like a live class: three checks for every assertion reason question, why a person in a freely falling lift feels weightless while gravity still acts, what is equal in an action reaction pair, when friction is zero, the force of an incline on a resting block, apparent weight in a lift and the normal force on a banked road.https://rankdeterminant.com/media/v/phy-u3-ch9-c4.mp4?v=e5e0eb34e35112026-10-14yes https://rankdeterminant.com/v/phy-u4-ch1-c1https://rankdeterminant.com/media/v/phy-u4-ch1-c1.jpg?v=53ec5a55ceWork Done by a Constant Force | JEE Physics (English)Work done by a constant force for JEE Main and Advanced: W = F·s = Fs cos theta, when work is positive, negative or zero, the units joule, erg, electron volt and kilowatt hour, work done by gravity and friction, forces that do no work, the moving-lift trap, and two solved problems including a block pulled up a rough incline.https://rankdeterminant.com/media/v/phy-u4-ch1-c1.mp4?v=53ec5a55ce4972026-10-14yes https://rankdeterminant.com/v/phy-u4-ch1-c2https://rankdeterminant.com/media/v/phy-u4-ch1-c2.jpg?v=660830d5c2-489abcWork Using Components and Along Paths | JEE Physics (English)Work done by a constant force from its components, W equals F dot s, without any angle given: getting the angle back from the dot product, why a constant force does the same work on every path and zero work round a closed path, the topper's add-the-forces-first trick, and the work done by a rope pulled over a pulley, with two solved JEE-style problems and their traps.https://rankdeterminant.com/media/v/phy-u4-ch1-c2.mp4?v=660830d5c2-489abc4992026-10-16yes https://rankdeterminant.com/v/phy-u4-ch1-c3https://rankdeterminant.com/media/v/phy-u4-ch1-c3.jpg?v=f87e786666Work Done by a Variable Force | JEE Physics (English)How to find the work done by a variable force: cut the motion into tiny steps and integrate F dx, read work as the signed area under the F-x graph, integrate along a curved path by putting dy = f'(x) dx, use F dot v dt when the force is given in time, and the topper's shortcut for when the path does not matter, with two JEE-style solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u4-ch1-c3.mp4?v=f87e7866664972026-10-14yes https://rankdeterminant.com/v/phy-u4-ch1-c4https://rankdeterminant.com/media/v/phy-u4-ch1-c4.jpg?v=7a09ac9fdf-1964f4Work Done by Springs and by Friction | JEE Physics (English)How to find the work done by a spring and by friction: Hooke's law F = -kx, the spring work formula, the work done by an external agent, springs in series and in parallel, cut springs, when friction does negative, zero or even positive work, and the shortcut heat = friction x relative sliding distance, with two JEE-style solved problems and the classic traps.https://rankdeterminant.com/media/v/phy-u4-ch1-c4.mp4?v=7a09ac9fdf-1964f45072026-10-16yes https://rankdeterminant.com/v/phy-u4-ch1-c5https://rankdeterminant.com/media/v/phy-u4-ch1-c5.jpg?v=33b7758e47-227bafConservative and Non-conservative Forces | JEE Physics (English)What makes a force conservative: work that depends only on the end points and is zero round every closed path. Which forces are conservative and which are not, the kinetic friction trap, the partial derivative test, finding the potential function phi, and two JEE-style solved problems on friction and on a force in a plane.https://rankdeterminant.com/media/v/phy-u4-ch1-c5.mp4?v=33b7758e47-227baf4882026-10-16yes https://rankdeterminant.com/v/phy-u4-ch2-c1https://rankdeterminant.com/media/v/phy-u4-ch2-c1.jpg?v=ae4260e4afKinetic Energy and Momentum | JEE Physics (English)Kinetic energy and momentum for JEE Main and Advanced: K = ½mv², the relation K = p²/2m and p = √(2mK), which body has more kinetic energy at the same momentum and more momentum at the same kinetic energy, scaling and small-change rules, the zero total momentum trap, and two solved problems: a bullet against a sprinter, and a 300% rise in kinetic energy.https://rankdeterminant.com/media/v/phy-u4-ch2-c1.mp4?v=ae4260e4af5002026-10-14yes https://rankdeterminant.com/v/phy-u4-ch2-c2https://rankdeterminant.com/media/v/phy-u4-ch2-c2.jpg?v=de12528127The Work–Energy Theorem | JEE Physics (English)The work–energy theorem for JEE Main and Advanced: the net work done by all the forces equals the change in kinetic energy. Its short proof from F = mv dv/dx, when it holds (any forces, constant or variable, inertial frames, the pseudo-force, internal forces), when to use it instead of momentum, and two solved problems: a braking car and a stone slowed by air resistance.https://rankdeterminant.com/media/v/phy-u4-ch2-c2.mp4?v=de125281275092026-10-14yes https://rankdeterminant.com/v/phy-u4-ch2-c3https://rankdeterminant.com/media/v/phy-u4-ch2-c3.jpg?v=67834e67feUsing the Theorem with Position, Velocity and Time Data | JEE Physics (English)How to use the work-energy theorem when the motion is given as a formula: speeds from x(t), kinetic energy and the force F = mv dv/dx = dK/dx from v(x), momentum from the impulse of F(t), and power and force from K(t). With the never-assume-rest trap and two solved JEE-style problems, one of them a particle that is moving at the end and still has negative work done on it.https://rankdeterminant.com/media/v/phy-u4-ch2-c3.mp4?v=67834e67fe4952026-10-14yes https://rankdeterminant.com/v/phy-u4-ch2-c4https://rankdeterminant.com/media/v/phy-u4-ch2-c4.jpg?v=d82e88448bSystems of Bodies, Strings and Internal Work | JEE Physics (English)The work-energy theorem for a system of bodies, for JEE Main and Advanced: external plus internal work equals the change in total kinetic energy, why internal forces can change kinetic energy but not total momentum, why the tension of a light inextensible string drops out, the connected-bodies recipe, and two solved pulley problems, one with friction on the table.https://rankdeterminant.com/media/v/phy-u4-ch2-c4.mp4?v=d82e88448b5252026-10-14yes https://rankdeterminant.com/v/phy-u4-ch2-c5https://rankdeterminant.com/media/v/phy-u4-ch2-c5.jpg?v=4975ae7380Energy Conversion, Heat and Efficiency | JEE Physics (English)Where mechanical energy goes in JEE physics problems: energy is never lost, friction and inelastic impacts turn it into heat, sound and deformation. Learn Q = ms Δθ to warm a body, Q = mL to melt it, 1 cal = 4.2 J, efficiency as useful energy out over energy in, a three-step energy balance, and two solved problems: a crane with 60% efficiency and a braking car heating its brake drums.https://rankdeterminant.com/media/v/phy-u4-ch2-c5.mp4?v=4975ae73805002026-10-14yes https://rankdeterminant.com/v/phy-u4-ch3-c1https://rankdeterminant.com/media/v/phy-u4-ch3-c1.jpg?v=0380410732Potential Energy and Conservative Forces | JEE Physics (English)Potential energy for JEE Main and Advanced: ΔU = −W for a conservative force, why only differences of U matter and the zero can be put anywhere, getting the force back with F = −dU/dx and partial derivatives in three dimensions, U = mgh with the centre of mass for an extended body, the sign trap, and two solved problems: a book lifted onto a shelf, and the force from U = 3x²y.https://rankdeterminant.com/media/v/phy-u4-ch3-c1.mp4?v=03804107324952026-10-14yes https://rankdeterminant.com/v/phy-u4-ch3-c2https://rankdeterminant.com/media/v/phy-u4-ch3-c2.jpg?v=4c47214c30Elastic Potential Energy of a Spring | JEE Physics (English)How a spring stores energy: U = ½kx² = F²/2k = ½Fx, the same for stretch or compression; the greatest compression when a block runs into a spring on a smooth floor; a vertical spring's equilibrium extension mg/k; why a load released suddenly drops to twice that and is fastest at equilibrium; and the missing-joule trap when a load is lowered gently. Two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u4-ch3-c2.mp4?v=4c47214c305172026-10-14yes https://rankdeterminant.com/v/phy-u4-ch3-c3https://rankdeterminant.com/media/v/phy-u4-ch3-c3.jpg?v=1e5160a226Conservation of Mechanical Energy | JEE Physics (English)When does K plus U stay constant? Conservation of mechanical energy for smooth tracks, the pendulum's speed at the lowest point, and chains hanging over a table using each part's centre of mass, with the topper's chain formula, the classic traps, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u4-ch3-c3.mp4?v=1e5160a2264802026-10-14yes https://rankdeterminant.com/v/phy-u4-ch3-c4https://rankdeterminant.com/media/v/phy-u4-ch3-c4.jpg?v=4ea51ecf4e-232b39Non-conservative Forces: W_(nc)=ΔE | JEE Physics (English)Work done by non-conservative forces for JEE Main and Advanced: why W_nc = ΔK + ΔU = ΔE_mech, why friction and drag make it negative while an engine or a person makes it positive, the topper's shortcut for rough inclines and floors (total horizontal distance h/μ), the sign trap in ΔU, and two solved problems: a block on a rough curved track and a block sliding off a rough incline.https://rankdeterminant.com/media/v/phy-u4-ch3-c4.mp4?v=4ea51ecf4e-232b394992026-10-17yes https://rankdeterminant.com/v/phy-u4-ch3-c5https://rankdeterminant.com/media/v/phy-u4-ch3-c5.jpg?v=f1bfa38505Potential-Energy Curves and Equilibrium | JEE Physics (English)How to read a potential energy curve U(x): the force points downhill, equilibrium where dU/dx is zero, stable, unstable and neutral equilibrium from the second derivative, turning points and the region allowed for total energy E, and the period of small oscillations about a minimum, with two solved JEE-style problems and the classic traps.https://rankdeterminant.com/media/v/phy-u4-ch3-c5.mp4?v=f1bfa385054842026-10-14yes https://rankdeterminant.com/v/phy-u4-ch4-c1https://rankdeterminant.com/media/v/phy-u4-ch4-c1.jpg?v=9c2b3f9e44Average and Instantaneous Power | JEE Physics (English)Power for JEE Main and Advanced: average power W/t, instantaneous power dW/dt = F·v = Fv cos θ, the watt and the horsepower, why the kilowatt-hour is energy and not power, work as the area under the P–t graph, the half-power rule for a constant force from rest, the power of gravity on a projectile, and two solved problems: a boy running up stairs and a body pushed from rest.https://rankdeterminant.com/media/v/phy-u4-ch4-c1.mp4?v=9c2b3f9e445182026-10-14yes https://rankdeterminant.com/v/phy-u4-ch4-c2https://rankdeterminant.com/media/v/phy-u4-ch4-c2.jpg?v=2e6a5811a5Vehicles, Lifts and Pumps | JEE Physics (English)How engine power decides a vehicle's speed: P = (mg sin θ + R)v at a steady speed up a slope, the greatest speed as power over the total resisting force, acceleration at a given speed, the power of a lift motor, and pump power with the kinetic energy term and efficiency, with two solved JEE-style problems and the classic traps.https://rankdeterminant.com/media/v/phy-u4-ch4-c2.mp4?v=2e6a5811a54922026-10-14yes https://rankdeterminant.com/v/phy-u4-ch4-c3https://rankdeterminant.com/media/v/phy-u4-ch4-c3.jpg?v=401f7ad72bMotion Under Constant Power | JEE Physics (English)Motion under constant power for JEE Main and Advanced: why ½mv² = Pt for a body starting from rest with no resistance, speed proportional to √t, distance proportional to t^(3/2), v³ = 3Px/m so v ∝ x^(1/3), why the force P/v keeps falling so the constant-acceleration equations fail, starting from a speed u, and two solved problems: a 2 kg body given 4 W, and a 20 kW car speeding up from 10 to 20 m/s.https://rankdeterminant.com/media/v/phy-u4-ch4-c3.mp4?v=401f7ad72b5132026-10-14yes https://rankdeterminant.com/v/phy-u4-ch4-c4https://rankdeterminant.com/media/v/phy-u4-ch4-c4.jpg?v=8a64a9d8faPower in Flows: Conveyor Belts, Wind and Water | JEE Physics (English)Power when mass flows at a steady rate, for JEE Main and Advanced: the extra force μv and extra power μv² for sand falling on a conveyor belt and why half of it becomes heat, wind power ½ρAv³ and the v³ rule, power from falling water ηṁgh, the power of a water jet, and two solved problems: a wind turbine and sand on a conveyor belt.https://rankdeterminant.com/media/v/phy-u4-ch4-c4.mp4?v=8a64a9d8fa4792026-10-14yes https://rankdeterminant.com/v/phy-u4-ch5-c1https://rankdeterminant.com/media/v/phy-u4-ch5-c1.jpg?v=1082328ea2Speed and Tension in a Vertical Circle | JEE Physics (English)Motion in a vertical circle for JEE Main and Advanced: the speed at any angle from energy, v² = u² − 2gl(1 − cos θ), the tension from the radial equation, tension at the bottom, side and top, why T bottom − T top = 6mg, why the stone needs u ≥ √(5gl) and not √(4gl) to complete the circle, the constant-speed motor trap (2mg), and two solved problems.https://rankdeterminant.com/media/v/phy-u4-ch5-c1.mp4?v=1082328ea24662026-10-14yes https://rankdeterminant.com/v/phy-u4-ch5-c2https://rankdeterminant.com/media/v/phy-u4-ch5-c2.jpg?v=71d464297b-bf0080When the String Slackens; Rods and Beads | JEE Physics (English)Where and when the string goes slack in a vertical circle, for JEE Main and Advanced: the three cases u ≤ √(2gl), √(2gl) < u < √(5gl) and u ≥ √(5gl), the slack point cos θ = (2gl − u²)/3gl, its height and speed, the projectile after it, why a rod, tube or bead needs only u ≥ 2√(gl), and two solved problems.https://rankdeterminant.com/media/v/phy-u4-ch5-c2.mp4?v=71d464297b-bf00804532026-10-16yes https://rankdeterminant.com/v/phy-u4-ch5-c3https://rankdeterminant.com/media/v/phy-u4-ch5-c3.jpg?v=e1a0c3d576-b11c02Loops, Humps and Dips on Tracks | JEE Physics (English)Motion in a vertical circle on tracks, for JEE Main and Advanced: why a ball inside a loop needs at least root gR at the top, why the least release height on a smooth track is 5R/2 and not 2R, the normal force on a hump and in a dip, apparent weight, why a ball in a tube only needs to reach the top, and two solved problems: a car in a dip and a ball in a loop.https://rankdeterminant.com/media/v/phy-u4-ch5-c3.mp4?v=e1a0c3d576-b11c024682026-10-16yes https://rankdeterminant.com/v/phy-u4-ch5-c4https://rankdeterminant.com/media/v/phy-u4-ch5-c4.jpg?v=290eeab5e0-eeabd8Sliding Off a Smooth Sphere | JEE Physics (English)Where does a particle leave a smooth sphere or hemisphere? Speed from energy, the normal force from the radial equation, why it leaves where N = 0 at cos θ = 2/3 (a height of 2R/3 above the centre, speed √(2gR/3)), the exit point with a push u, why u ≥ √(gR) leaves at once, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u4-ch5-c4.mp4?v=290eeab5e0-eeabd84712026-10-16yes https://rankdeterminant.com/v/phy-u4-ch6-c1https://rankdeterminant.com/media/v/phy-u4-ch6-c1.jpg?v=ca7cbbf254Impulse and Momentum | JEE Physics (English)Impulse for JEE Main and Advanced: impulse as the area under the force-time graph, the impulse-momentum theorem J = Δp, average force Δp/Δt, why drawing your hands back or landing on sand reduces the force, impulsive forces and why gravity can be ignored during a collision, the 2mv cos θ wall result, and two solved problems with the classic rebound trap.https://rankdeterminant.com/media/v/phy-u4-ch6-c1.mp4?v=ca7cbbf2545112026-10-14yes https://rankdeterminant.com/v/phy-u4-ch6-c2https://rankdeterminant.com/media/v/phy-u4-ch6-c2.jpg?v=6b2942c88aPerfectly Inelastic Collisions | JEE Physics (English)Perfectly inelastic collisions for JEE Main and Advanced: the common velocity when bodies stick, signs for head-on motion, the kinetic energy lost with the reduced mass formula, the fraction lost when one body is at rest, the ballistic pendulum, the trap of using energy across the impact, and two solved problems.https://rankdeterminant.com/media/v/phy-u4-ch6-c2.mp4?v=6b2942c88a5152026-10-14yes https://rankdeterminant.com/v/phy-u4-ch6-c3https://rankdeterminant.com/media/v/phy-u4-ch6-c3.jpg?v=d87078796a-bd0b42Elastic Collisions in One Dimension | JEE Physics (English)Head-on elastic collisions for JEE Main and Advanced: momentum and kinetic energy both conserved, the result v2 - v1 = u1 - u2, the final velocity formulas, equal masses exchanging velocities, a heavy ball knocking a light one off at nearly 2u, the fraction of kinetic energy passed on, why light nuclei moderate neutrons, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u4-ch6-c3.mp4?v=d87078796a-bd0b425222026-10-16yes https://rankdeterminant.com/v/phy-u4-ch6-c4https://rankdeterminant.com/media/v/phy-u4-ch6-c4.jpg?v=9854049881Coefficient of Restitution | JEE Physics (English)Coefficient of restitution for JEE Main and Advanced: speed of separation over speed of approach, e for elastic, inelastic and sticking collisions, velocities after a head-on collision from momentum and restitution, the kinetic energy lost, a ball bouncing on a fixed floor with rebound height e squared h, total distance and time, and two solved problems.https://rankdeterminant.com/media/v/phy-u4-ch6-c4.mp4?v=98540498814962026-10-14yes https://rankdeterminant.com/v/phy-u4-ch6-c5https://rankdeterminant.com/media/v/phy-u4-ch6-c5.jpg?v=6b057bebb4Collisions Through Springs and on Wedges; Chains of Collisions | JEE Physics (English)Collisions through a spring and on a free wedge for JEE Main and Advanced: the common velocity at greatest compression, the greatest compression from the reduced mass, the greatest height on a wedge free to slide, why both end as elastic collisions, chains of perfectly inelastic collisions from total momentum, the common traps, and two solved problems.https://rankdeterminant.com/media/v/phy-u4-ch6-c5.mp4?v=6b057bebb45072026-10-14yes https://rankdeterminant.com/v/phy-u4-ch7-c1https://rankdeterminant.com/media/v/phy-u4-ch7-c1.jpg?v=f29cfad9d6Momentum Conservation in Two Dimensions | JEE Physics (English)Momentum conservation in two dimensions for JEE Main and Advanced: momentum as a vector with x and y components conserved separately, perfectly inelastic collisions in a plane, the common velocity and the energy lost with the reduced mass, the proof of the 90 degree rule for an elastic glancing collision of equal masses, and two solved problems with the classic adding-momenta trap.https://rankdeterminant.com/media/v/phy-u4-ch7-c1.mp4?v=f29cfad9d64982026-10-14yes https://rankdeterminant.com/v/phy-u4-ch7-c2https://rankdeterminant.com/media/v/phy-u4-ch7-c2.jpg?v=23f31fdc6aOblique Impact: Walls, Floors and Smooth Spheres | JEE Physics (English)Oblique impact for JEE Main and Advanced: the line of impact and the common tangent for smooth spheres, a ball bouncing off a smooth wall or floor with tan theta prime equal to tan theta over e, why it comes off flatter than it went in, a projectile bouncing on smooth ground with total range R over one minus e, the classic traps, and two solved problems.https://rankdeterminant.com/media/v/phy-u4-ch7-c2.mp4?v=23f31fdc6a5042026-10-14yes https://rankdeterminant.com/v/phy-u4-ch8-c1https://rankdeterminant.com/media/v/phy-u4-ch8-c1.jpg?v=d36aa49b70Overview | JEE Physics (English)How to use the mixed JEE Main-pattern problems on work, energy, power and collisions like a real test: three timed sets of fifteen, 25 minutes a set, g = 10 unless told otherwise, the try-first rule, and two solved problems: the work done when a body speeds up from 2 to 6 m/s, and a bullet that sticks in a pendulum block.https://rankdeterminant.com/media/v/phy-u4-ch8-c1.mp4?v=d36aa49b704692026-10-15yes https://rankdeterminant.com/v/phy-u4-ch8-c2https://rankdeterminant.com/media/v/phy-u4-ch8-c2.jpg?v=925d5550d8Set 1 (Work and Energy) | JEE Physics (English)Mixed JEE Main-pattern problems on work and energy, set 1: work by a constant force as a dot product with the displacement, the work-energy theorem, the work to compress a spring from x1 to x2, pushing a crate up a rough incline at constant speed, and a ball thrown up against constant air resistance, with the classic traps.https://rankdeterminant.com/media/v/phy-u4-ch8-c2.mp4?v=925d5550d85412026-10-15yes https://rankdeterminant.com/v/phy-u4-ch8-c3https://rankdeterminant.com/media/v/phy-u4-ch8-c3.jpg?v=436c9fc260Set 2 (Power, Vertical Circles and Potential-Energy Curves) | JEE Physics (English)Power, vertical circular motion and potential-energy curves in JEE Main style: P = Fv at a steady speed, why wind power goes as v cubed, the root 5gl test for completing a vertical circle, reading a U(x) curve for the greatest speed, and two solved problems: a car climbing a slope and the tensions at the top and bottom of a vertical circle.https://rankdeterminant.com/media/v/phy-u4-ch8-c3.mp4?v=436c9fc2605272026-10-15yes https://rankdeterminant.com/v/phy-u4-ch8-c4https://rankdeterminant.com/media/v/phy-u4-ch8-c4.jpg?v=994a156df2Set 3 (Impulse, Collisions and Explosions) | JEE Physics (English)Set 3 of the timed JEE Main-pattern problems on impulse, collisions and explosions: momentum across every impact, impulse and average force, the coefficient of restitution and the kinetic energy lost, then two solved problems: two bodies that stick, and the greatest compression of a spring between two blocks on a smooth floor.https://rankdeterminant.com/media/v/phy-u4-ch8-c4.mp4?v=994a156df25512026-10-15yes https://rankdeterminant.com/v/phy-u4-ch9-c1https://rankdeterminant.com/media/v/phy-u4-ch9-c1.jpg?v=a6b1937aed-518814Overview | JEE Physics (English)How to use the Work, Energy and Power unit problem bank: Part A as a 40-minute JEE Main test after Chapters 1–8, Part B JEE Advanced problems that join two or three ideas, Part C concept checks such as the work done by static friction, the unit test, and two solved problems: the work of a constant force along a curve, and the track force at the side of a loop.https://rankdeterminant.com/media/v/phy-u4-ch9-c1.mp4?v=a6b1937aed-5188144692026-10-16yes https://rankdeterminant.com/v/phy-u4-ch9-c2https://rankdeterminant.com/media/v/phy-u4-ch9-c2.jpg?v=8d4ca7fe9b-fe396ePart A: JEE Main Level | JEE Physics (English)Four JEE Main-level work, energy and power problems from the unit problem bank, solved step by step like a live class: the work done by a constant force along a curved path, the power of a car climbing a slope, a block pushed on a rough floor and then released, and the ballistic pendulum, where almost all of the bullet's kinetic energy is lost in the impact.https://rankdeterminant.com/media/v/phy-u4-ch9-c2.mp4?v=8d4ca7fe9b-fe396e4782026-10-16yes https://rankdeterminant.com/v/phy-u4-ch9-c3https://rankdeterminant.com/media/v/phy-u4-ch9-c3.jpg?v=02e3f03fddPart B: Harder Problems | JEE Physics (English)Harder work, energy and power problems solved step by step: why a ball on a string needs root 5gl but a ball in a smooth tube needs only root 4gl, how high a slow particle rises in a tube, the power of a pump that lifts and ejects water, and a bullet through a pendulum bob, with the classic JEE traps.https://rankdeterminant.com/media/v/phy-u4-ch9-c3.mp4?v=02e3f03fdd4702026-10-15yes https://rankdeterminant.com/v/phy-u4-ch9-c4https://rankdeterminant.com/media/v/phy-u4-ch9-c4.jpg?v=b46becc871-ba71d3Part C: Concept Checks | JEE Physics (English)Work, energy and collisions concept checks for JEE Physics, taught like a live class: why kinetic energy is never negative while potential energy can be, how a system has kinetic energy with zero momentum, when centripetal force and static friction do work, why work depends on the frame, what an elastic or inelastic collision conserves, equal kinetic energies and momentum, and spring work from x to 2x.https://rankdeterminant.com/media/v/phy-u4-ch9-c4.mp4?v=b46becc871-ba71d35002026-10-16yes https://rankdeterminant.com/v/phy-u5-ch1-c1https://rankdeterminant.com/media/v/phy-u5-ch1-c1.jpg?v=b84e735c78Centre of Mass of a System of Particles | JEE Physics (English)Centre of mass of a system of particles for JEE Main and Advanced: the mass-weighted formula for r cm and its x, y and z components, the two-particle result m1 r1 = m2 r2 (closer to the heavier mass), the topper's trick of putting the origin on a particle or on an axis of symmetry, the ring and horseshoe trap, and two solved problems: the Earth–Moon centre of mass and a hexagon with one mass removed.https://rankdeterminant.com/media/v/phy-u5-ch1-c1.mp4?v=b84e735c784982026-10-14yes https://rankdeterminant.com/v/phy-u5-ch1-c2https://rankdeterminant.com/media/v/phy-u5-ch1-c2.jpg?v=83f1869ae4Centre of Mass of Continuous Bodies | JEE Physics (English)Centre of mass of continuous bodies for JEE Main and Advanced: the integral formula, writing dm with linear, surface and volume density, the standard results for a semicircular ring (2R/pi), semicircular disc (4R/3pi), solid and hollow hemisphere and cone, the solid-or-hollow trap, and two solved problems: a non-uniform rod and a D-shaped wire.https://rankdeterminant.com/media/v/phy-u5-ch1-c2.mp4?v=83f1869ae44732026-10-14yes https://rankdeterminant.com/v/phy-u5-ch1-c3https://rankdeterminant.com/media/v/phy-u5-ch1-c3.jpg?v=919a18d9e2Composite Bodies and Bodies with Cavities | JEE Physics (English)How to find the centre of mass of a body made of simple parts, and of a body with a hole or cavity cut out of it: each part as a point mass at its own centre, masses from lengths, areas or volumes, the negative-mass method and the shift m d over (M minus m), the square-versus-cube trap for discs and spheres, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u5-ch1-c3.mp4?v=919a18d9e24822026-10-15yes https://rankdeterminant.com/v/phy-u5-ch1-c4https://rankdeterminant.com/media/v/phy-u5-ch1-c4.jpg?v=267ad3ef18Motion of the Centre of Mass | JEE Physics (English)Velocity, momentum and acceleration of the centre of mass, why internal forces cancel so that F ext equals M a cm, why the centre of mass stays fixed when no external force acts, the man-on-a-boat shortcut, the shell that explodes in flight, kinetic energy about the centre of mass, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u5-ch1-c4.mp4?v=267ad3ef184922026-10-14yes https://rankdeterminant.com/v/phy-u5-ch2-c1https://rankdeterminant.com/media/v/phy-u5-ch2-c1.jpg?v=9057a4a0bcKinematics of Rotation | JEE Physics (English)Kinematics of rotation for JEE Main and Advanced: a rigid body about a fixed axis, angular displacement, angular velocity and angular acceleration, rpm to radians per second, the equations of rotational motion for constant alpha with the nth-second formula, v = omega r, tangential and centripetal acceleration, and two solved problems: the angle turned in the nth second and the 45 degree rim-point puzzle.https://rankdeterminant.com/media/v/phy-u5-ch2-c1.mp4?v=9057a4a0bc5192026-10-14yes https://rankdeterminant.com/v/phy-u5-ch2-c2https://rankdeterminant.com/media/v/phy-u5-ch2-c2.jpg?v=a1e8b3f282Moment of Inertia and Radius of Gyration | JEE Physics (English)Moment of inertia explained from scratch: I as the sum of m r squared with the perpendicular distance from the axis, its unit and dimensions, why it depends on the axis but not on omega, rotational kinetic energy half I omega squared, the radius of gyration k equals root of I over M, the two-particle result, and two solved JEE-style problems on point masses and a square.https://rankdeterminant.com/media/v/phy-u5-ch2-c2.mp4?v=a1e8b3f2824562026-10-14yes https://rankdeterminant.com/v/phy-u5-ch2-c3https://rankdeterminant.com/media/v/phy-u5-ch2-c3.jpg?v=73f46e1000-c6bff9Moments of Inertia of Standard Bodies | JEE Physics (English)Moments of inertia of standard bodies for JEE Main and Advanced: the thin rod about its centre and about an end, ring and disc about the axis and about a diameter, the annular disc, hollow and solid cylinders, solid sphere, spherical shell, cone and rectangular plate, the topper's stretching trick, and two solved problems: a sphere and a shell with equal I, and a sphere recast into a disc.https://rankdeterminant.com/media/v/phy-u5-ch2-c3.mp4?v=73f46e1000-c6bff94732026-10-16yes https://rankdeterminant.com/v/phy-u5-ch2-c4https://rankdeterminant.com/media/v/phy-u5-ch2-c4.jpg?v=83c7511fcbTheorems of Parallel and Perpendicular Axes | JEE Physics (English)The parallel-axis theorem I equals I cm plus M d squared and the perpendicular-axis theorem I z equals I x plus I y, explained step by step: why you must always start from the centre-of-mass axis, why the perpendicular-axis theorem is for flat bodies only, tangent results for a sphere and a ring, and two solved JEE-style problems on a rod about its end and a disc about a diameter and a tangent.https://rankdeterminant.com/media/v/phy-u5-ch2-c4.mp4?v=83c7511fcb4652026-10-14yes https://rankdeterminant.com/v/phy-u5-ch3-c1https://rankdeterminant.com/media/v/phy-u5-ch3-c1.jpg?v=165ad0a1e3Torque and Couples | JEE Physics (English)Torque for JEE Main and Advanced: torque as r cross F, its magnitude r F sin θ or force times moment arm, units and dimensions (newton metre, never joules), torque about an axis and why a force parallel to the axis gives zero torque, couples and their torque F d about every point, and two solved problems: a spanner, and a vector torque about the origin and the z-axis.https://rankdeterminant.com/media/v/phy-u5-ch3-c1.mp4?v=165ad0a1e35052026-10-15yes https://rankdeterminant.com/v/phy-u5-ch3-c2https://rankdeterminant.com/media/v/phy-u5-ch3-c2.jpg?v=3417e014e2Equilibrium of Rigid Bodies | JEE Physics (English)The two conditions for the equilibrium of a rigid body for JEE Main and Advanced: zero net external force and zero net external torque about any point, the three equations in a plane, why a couple shows zero net force is not enough, the topper's trick of taking torques where the most unknown forces act, and two solved problems: a balanced see-saw and a ladder against a smooth wall with the least coefficient of friction.https://rankdeterminant.com/media/v/phy-u5-ch3-c2.mp4?v=3417e014e24402026-10-15yes https://rankdeterminant.com/v/phy-u5-ch3-c3https://rankdeterminant.com/media/v/phy-u5-ch3-c3.jpg?v=9c23cfcafcNewton's Second Law for Rotation | JEE Physics (English)Newton's second law for rotation, torque equals I alpha, explained step by step: the link with F = ma, the conditions (rigid body, fixed axis or an axis through the centre of mass), why the tensions differ on the two sides of a heavy pulley, a = alpha R, the block-on-a-drum formula, and two solved JEE-style problems on a disc and an Atwood machine.https://rankdeterminant.com/media/v/phy-u5-ch3-c3.mp4?v=9c23cfcafc5012026-10-15yes https://rankdeterminant.com/v/phy-u5-ch3-c4https://rankdeterminant.com/media/v/phy-u5-ch3-c4.jpg?v=f5b84761f2Work, Energy and Power in Rotation | JEE Physics (English)Work done by a torque, W = tau theta with theta in radians, power P = tau omega, the work-energy theorem for rotation and the kinetic energy of a body that moves and spins, explained for JEE Main and Advanced. Includes the energy method for pulleys, the I over R squared extra-mass trick, and two solved problems: a flywheel speeded up from 600 to 1200 rpm and an Atwood machine with a ring pulley.https://rankdeterminant.com/media/v/phy-u5-ch3-c4.mp4?v=f5b84761f25232026-10-15yes https://rankdeterminant.com/v/phy-u5-ch4-c1https://rankdeterminant.com/media/v/phy-u5-ch4-c1.jpg?v=bf237e1b5d-c99404Angular Momentum of a Particle | JEE Physics (English)Angular momentum of a particle for JEE Main and Advanced: L as r cross p, its magnitude m v r sin θ or momentum times perpendicular distance, its unit and dimensions (the same as Planck's constant), the constant m v d of a particle moving in a straight line, m v r = m r² ω about the centre of a circle, why L depends on the reference point, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u5-ch4-c1.mp4?v=bf237e1b5d-c994045042026-10-16yes https://rankdeterminant.com/v/phy-u5-ch4-c2https://rankdeterminant.com/media/v/phy-u5-ch4-c2.jpg?v=61c8d7a5cbAngular Momentum of a Rigid Body; Torque and Angular Impulse | JEE Physics (English)Angular momentum of a rigid body about a fixed axis, L = I omega, explained step by step: torque as the rate of change of angular momentum, angular impulse equals the change in L, kinetic energy K = L squared over 2I and its classic trap, orbital plus spin angular momentum, and two solved JEE-style problems on a wheel under a constant torque and a disc given a sharp jerk.https://rankdeterminant.com/media/v/phy-u5-ch4-c2.mp4?v=61c8d7a5cb4792026-10-15yes https://rankdeterminant.com/v/phy-u5-ch4-c3https://rankdeterminant.com/media/v/phy-u5-ch4-c3.jpg?v=57524565a6-e02456Conservation of Angular Momentum | JEE Physics (English)Conservation of angular momentum for JEE Main and Advanced: zero net external torque keeps L constant, I₁ω₁ = I₂ω₂ for rotation about a fixed axis, why the kinetic energy still changes (K₂/K₁ = I₁/I₂), the central-force trap of conserved about which point, and two solved problems: the spinning skater and the student on a stool who turns a bicycle wheel upside down.https://rankdeterminant.com/media/v/phy-u5-ch4-c3.mp4?v=57524565a6-e024565022026-10-16yes https://rankdeterminant.com/v/phy-u5-ch4-c4https://rankdeterminant.com/media/v/phy-u5-ch4-c4.jpg?v=5ce097dc76-f693d0Collisions Involving Rotation | JEE Physics (English)Collisions involving rotation for JEE Main and Advanced: why linear momentum is not conserved when a rod is hinged, conserving angular momentum about the hinge, free bodies on a smooth table (linear momentum plus angular momentum about the centre of mass), when kinetic energy is conserved, and two solved problems: a bullet embedding in a hinged rod, and an elastic ball and free rod collision giving M/m = 4.https://rankdeterminant.com/media/v/phy-u5-ch4-c4.mp4?v=5ce097dc76-f693d04932026-10-16yes https://rankdeterminant.com/v/phy-u5-ch5-c1https://rankdeterminant.com/media/v/phy-u5-ch5-c1.jpg?v=b42065f1bfKinematics of Rolling | JEE Physics (English)Kinematics of rolling for JEE Main and Advanced: rolling as translation plus rotation, the condition v = ωR and a = αR for rolling without slipping, which way the contact point slides when v ≠ ωR, why the top moves at 2v and the bottom is at rest, the √2 v rim point, the instantaneous axis through the contact point, the acceleration of the contact point, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u5-ch5-c1.mp4?v=b42065f1bf4992026-10-15yes https://rankdeterminant.com/v/phy-u5-ch5-c2https://rankdeterminant.com/media/v/phy-u5-ch5-c2.jpg?v=be12006875Energy of Rolling; Rolling on an Incline | JEE Physics (English)Kinetic energy of rolling for JEE Main and Advanced: K = ½Mv²(1 + k²/R²), the topper's shortcut K_rot/K_tr = k²/R², the table for ring, disc, solid and hollow sphere, acceleration, speed and time down an incline, why static friction does no work, who wins the rolling race, and two solved problems with the ratio-versus-fraction trap.https://rankdeterminant.com/media/v/phy-u5-ch5-c2.mp4?v=be120068755092026-10-15yes https://rankdeterminant.com/v/phy-u5-ch5-c3https://rankdeterminant.com/media/v/phy-u5-ch5-c3.jpg?v=1e4223434cFriction in Rolling; Slipping That Becomes Rolling | JEE Physics (English)Friction in rolling motion for JEE Main and Advanced: the three equations (net force, torque about the centre of mass, a = alpha R), choosing the direction of static friction, the pure rolling check f at most mu N, slipping that becomes rolling, and the shortcut of conserving angular momentum about the contact point. Two solved problems: a force at the centre of a solid cylinder, and a ball thrown with no spin.https://rankdeterminant.com/media/v/phy-u5-ch5-c3.mp4?v=1e4223434c5182026-10-15yes https://rankdeterminant.com/v/phy-u5-ch6-c1https://rankdeterminant.com/media/v/phy-u5-ch6-c1.jpg?v=b6bf7630deOverview | JEE Physics (English)Rotational motion JEE Main-pattern mixed problems: how the chapter works, the five ideas recent questions test (centre of mass of composite bodies, the parallel-axis theorem, torque equals I alpha with pulleys, conservation of angular momentum, rolling on an incline), and two solved problems: a block on a ring-shaped pulley that falls at half of g, and a particle that sticks to a pivoted rod.https://rankdeterminant.com/media/v/phy-u5-ch6-c1.mp4?v=b6bf7630de4742026-10-15yes https://rankdeterminant.com/v/phy-u5-ch6-c2https://rankdeterminant.com/media/v/phy-u5-ch6-c2.jpg?v=961d4ee587Mixed Problems: Set 1 | JEE Physics (English)Mixed JEE Main-pattern problems on rotational motion, set 1: the moment of inertia of an annular disc (add, do not subtract), a block on a ring-shaped pulley with torque equals I alpha, the kinetic energy of a rolling solid cylinder, and conservation of angular momentum when two beads slide out along a spinning rod, with the classic traps.https://rankdeterminant.com/media/v/phy-u5-ch6-c2.mp4?v=961d4ee5874682026-10-15yes https://rankdeterminant.com/v/phy-u5-ch6-c3https://rankdeterminant.com/media/v/phy-u5-ch6-c3.jpg?v=e7315168f3-181c67Mixed Problems: Set 2 | JEE Physics (English)Rotational motion JEE Main-pattern mixed problems, Set 2: why a ring has more kinetic energy than a disc at the same speed (4 : 3), a hinged rod falling through 30 degrees, a frictional torque stopping a spinning sphere (angular impulse), a solid sphere rolling down an incline, and the classic ladder against a smooth wall, solved with torques about the foot.https://rankdeterminant.com/media/v/phy-u5-ch6-c3.mp4?v=e7315168f3-181c674952026-10-16yes https://rankdeterminant.com/v/phy-u5-ch6-c4https://rankdeterminant.com/media/v/phy-u5-ch6-c4.jpg?v=562c034cbfMixed Problems: Set 3 | JEE Physics (English)Mixed JEE Main-pattern problems on rotational motion, set 3: a disc pivoted at a point on its rim (three halves m R squared and energy conservation), why a rolling body turns about its contact point, the angular momentum of a rolling disc about any fixed point on the ground, and the spinning cylinder placed on rough ground that loses two thirds of its kinetic energy, with the classic traps.https://rankdeterminant.com/media/v/phy-u5-ch6-c4.mp4?v=562c034cbf5002026-10-15yes https://rankdeterminant.com/v/phy-u5-ch7-c1https://rankdeterminant.com/media/v/phy-u5-ch7-c1.jpg?v=45b8e95decOverview | JEE Physics (English)How to use the Rotational Motion unit problem bank: Part A as a 30-minute test after Chapters 1–6, Part B concept checks in statement and assertion–reason form, Part C longer JEE Advanced problems, and two solved problems: the torque and work on a wheel, and a disc dropped onto a spinning disc, where angular momentum is conserved but kinetic energy is not.https://rankdeterminant.com/media/v/phy-u5-ch7-c1.mp4?v=45b8e95dec4752026-10-15yes https://rankdeterminant.com/v/phy-u5-ch7-c2https://rankdeterminant.com/media/v/phy-u5-ch7-c2.jpg?v=c47e85f4a4Part A: Mixed Problems | JEE Physics (English)Rotational motion mixed problems for JEE Main and Advanced: energy with a spinning cylinder, a solid sphere rolling up a curved surface (seven tenths m v squared, not half m v squared), the centre of mass of a square plate with a corner removed, and the force on the hinge of a falling rod at the vertical, which is five halves m g, not m g. The classic traps, step by step.https://rankdeterminant.com/media/v/phy-u5-ch7-c2.mp4?v=c47e85f4a45052026-10-15yes https://rankdeterminant.com/v/phy-u5-ch7-c3https://rankdeterminant.com/media/v/phy-u5-ch7-c3.jpg?v=918742f448Part B: Concept Checks | JEE Physics (English)Quick concept checks on rotational motion for JEE, taught like a live class: can the centre of mass lie outside a body, when is angular momentum conserved (a planet, a bullet in a hinged rod, a rolling ball), why static friction does no work in rolling, does moment of inertia depend on angular velocity, and the ring versus disc race down an incline.https://rankdeterminant.com/media/v/phy-u5-ch7-c3.mp4?v=918742f4485172026-10-15yes https://rankdeterminant.com/v/phy-u5-ch7-c4https://rankdeterminant.com/media/v/phy-u5-ch7-c4.jpg?v=df2c6fdb1bPart C: Advanced-Level Problems | JEE Physics (English)Rotational motion problems at JEE Advanced level, from Part C of the unit problem bank, taught like a live class: an impulse at one end of a free rod and why the far end moves backwards, a solid sphere rolling without slipping on a pulled plank, the rolling condition on a moving surface, and the topper's check of a hinge-force answer at special positions.https://rankdeterminant.com/media/v/phy-u5-ch7-c4.mp4?v=df2c6fdb1b4942026-10-15yes https://rankdeterminant.com/v/phy-u6-ch1-c1https://rankdeterminant.com/media/v/phy-u6-ch1-c1.jpg?v=7787ec49e6Newton's Law of Gravitation | JEE Physics (English)Newton's law of gravitation for JEE Physics, taught like a live class: F equals G m1 m2 over r squared, the inverse square trap, the value, unit and dimensions of G, the vector form and its minus sign, why r cubed is not an inverse cube law, superposition, the uniform sphere result, and two solved problems: two 1 kg masses against the weight of 1 kg, and three masses on an equilateral triangle.https://rankdeterminant.com/media/v/phy-u6-ch1-c1.mp4?v=7787ec49e65052026-10-15yes https://rankdeterminant.com/v/phy-u6-ch1-c2https://rankdeterminant.com/media/v/phy-u6-ch1-c2.jpg?v=060676b17f-0ca8ecThe Gravitational Field | JEE Physics (English)Gravitational field intensity for JEE Physics, taught like a live class: field as force per unit mass, its unit newton per kilogram, the field of a point mass, a ring on its axis (zero at the centre, greatest at R over root 2), a thin shell (zero inside), a uniform solid sphere (proportional to r inside, greatest at the surface), a rod on its axis, and two solved problems with the usual traps.https://rankdeterminant.com/media/v/phy-u6-ch1-c2.mp4?v=060676b17f-0ca8ec4912026-10-16yes https://rankdeterminant.com/v/phy-u6-ch1-c3https://rankdeterminant.com/media/v/phy-u6-ch1-c3.jpg?v=345c4ee4baBodies Moving under Mutual Attraction | JEE Physics (English)How two bodies move under their mutual gravitational attraction: each circles the common centre of mass, gravity supplies the centripetal force, the radii from the centre of mass, the period formula for two stars, why doubling the separation makes the period two root two times, the radius trap, and two solved JEE-style problems ending with the kinetic energy ratio of a binary star.https://rankdeterminant.com/media/v/phy-u6-ch1-c3.mp4?v=345c4ee4ba4582026-10-15yes https://rankdeterminant.com/v/phy-u6-ch2-c1https://rankdeterminant.com/media/v/phy-u6-ch2-c1.jpg?v=b2ffff95acg at the Surface of a Planet | JEE Physics (English)Where g at the surface of a planet comes from: g = GM/R² from Newton's law, the density form g = (4/3)πGρR, comparing planets with g ∝ M/R² and g ∝ ρR, the standard values for the Earth, the radius-squared trap, and two solved JEE-style problems: a planet with one tenth the mass and half the radius, and one twice as dense but half the size.https://rankdeterminant.com/media/v/phy-u6-ch2-c1.mp4?v=b2ffff95ac4692026-10-15yes https://rankdeterminant.com/v/phy-u6-ch2-c2https://rankdeterminant.com/media/v/phy-u6-ch2-c2.jpg?v=d3b3e9e926Variation of g with Height and Depth | JEE Physics (English)How the acceleration due to gravity changes as you go up or down: the exact formula for g at height h, the shortcut g(1 - 2h/R) and why it fails when h is not small, the depth formula g(1 - d/R), why g is greatest at the surface and zero at the centre, the d = 2h trick, and two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u6-ch2-c2.mp4?v=d3b3e9e9265032026-10-15yes https://rankdeterminant.com/v/phy-u6-ch2-c3https://rankdeterminant.com/media/v/phy-u6-ch2-c3.jpg?v=f777209f6aEffect of the Earth's Rotation | JEE Physics (English)How the Earth's rotation changes the acceleration due to gravity: the latitude formula g' = g − ω²R cos²λ, why g' equals g at the poles and is least at the equator, the cos squared trap at 45 degrees, and two solved JEE-style problems: ω²R for the Earth and how short a day would make bodies at the equator weightless.https://rankdeterminant.com/media/v/phy-u6-ch2-c3.mp4?v=f777209f6a4402026-10-15yes https://rankdeterminant.com/v/phy-u6-ch3-c1https://rankdeterminant.com/media/v/phy-u6-ch3-c1.jpg?v=115ec4903d-2410b5Potential and Potential Energy | JEE Physics (English)Gravitational potential V = -GM/r and potential energy U = -GMm/r explained: why they are negative, zero at infinity, how field and potential are linked by E = -dV/dr, the potential energy of a system of masses, the work to separate it, the exact work to lift a mass to height h and why mgh works only for small heights, with two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u6-ch3-c1.mp4?v=115ec4903d-2410b54812026-10-16yes https://rankdeterminant.com/v/phy-u6-ch3-c2https://rankdeterminant.com/media/v/phy-u6-ch3-c2.jpg?v=e96452dd52Potential of a Shell and of a Solid Sphere | JEE Physics (English)Gravitational potential of a thin spherical shell and a uniform solid sphere, inside and outside: why the potential inside a shell is constant and not zero, the inside formula for a solid sphere, the centre value -3GM/2R, and two solved JEE problems, including the speed of a body at the centre of a tunnel through the Earth.https://rankdeterminant.com/media/v/phy-u6-ch3-c2.mp4?v=e96452dd524542026-10-15yes https://rankdeterminant.com/v/phy-u6-ch3-c3https://rankdeterminant.com/media/v/phy-u6-ch3-c3.jpg?v=cae42bd800Escape Velocity | JEE Physics (English)Escape velocity explained from energy: why v_e = sqrt(2GM/R) = sqrt(2gR), about 11.2 km/s for the Earth, why it does not depend on the body's mass or the direction of projection, v_e proportional to R sqrt(rho), the height reached when a body is projected slower than v_e, the speed left at infinity when it is faster, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u6-ch3-c3.mp4?v=cae42bd8004592026-10-15yes https://rankdeterminant.com/v/phy-u6-ch4-c1https://rankdeterminant.com/media/v/phy-u6-ch4-c1.jpg?v=5abf2cd828Orbital Speed and Period | JEE Physics (English)Orbital speed and period of a satellite in a circular orbit: gravity as the centripetal force, v = √(GM/r) and T = 2π√(r³/GM), why the satellite's mass does not matter, the near-surface values 7.9 km/s and 84.6 minutes, geostationary and polar satellites, and two solved JEE problems, including the height of a geostationary satellite.https://rankdeterminant.com/media/v/phy-u6-ch4-c1.mp4?v=5abf2cd8284952026-10-15yes https://rankdeterminant.com/v/phy-u6-ch4-c2https://rankdeterminant.com/media/v/phy-u6-ch4-c2.jpg?v=e6ee2834bbEnergy of Satellites | JEE Physics (English)Kinetic, potential and total energy of a satellite in a circular orbit: K = GMm/2r, U = -GMm/r, E = -GMm/2r, the ratio 1 : -2 : -1, binding energy, the energy needed to change orbits, why air drag makes a satellite speed up, why astronauts float, and two solved JEE problems, including a low orbit versus escape.https://rankdeterminant.com/media/v/phy-u6-ch4-c2.mp4?v=e6ee2834bb4822026-10-15yes https://rankdeterminant.com/v/phy-u6-ch4-c3https://rankdeterminant.com/media/v/phy-u6-ch4-c3.jpg?v=c9362892abKepler's Laws | JEE Physics (English)Kepler's three laws for JEE physics: elliptical orbits with the Sun at one focus, equal areas in equal times from conservation of angular momentum (v_p r_p = v_a r_a, only at perihelion and aphelion), T^2 proportional to a^3 with the semi-major axis a, the energy -GMm/2a of an elliptical orbit, the speed at perihelion, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u6-ch4-c3.mp4?v=c9362892ab4842026-10-15yes https://rankdeterminant.com/v/phy-u6-ch5-c1https://rankdeterminant.com/media/v/phy-u6-ch5-c1.jpg?v=e73785ae40Overview | JEE Physics (English)What JEE Main asks in gravitation: g at heights and depths, escape velocity of scaled planets, satellite periods and energies, and Kepler's laws. The formulas you need, when the shortcut g(1 - 2h/R) is allowed, why height h means r = R + h, and two solved problems: g at 1600 km and the speed of a body falling from a height 3R.https://rankdeterminant.com/media/v/phy-u6-ch5-c1.mp4?v=e73785ae404662026-10-15yes https://rankdeterminant.com/v/phy-u6-ch5-c2https://rankdeterminant.com/media/v/phy-u6-ch5-c2.jpg?v=7622ff25e1-66bbd8Mixed Problems: Set 1 | JEE Physics (English)Mixed JEE Main-style gravitation problems: g at a height with the exact formula and when the 1 - 2h/R shortcut fails, g at a depth, the GM = gR² swap, and energy conservation for a body released from 3R, with why v² = 2gh wrongly gives a landing speed above the escape velocity. Two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u6-ch5-c2.mp4?v=7622ff25e1-66bbd84712026-10-16yes https://rankdeterminant.com/v/phy-u6-ch5-c3https://rankdeterminant.com/media/v/phy-u6-ch5-c3.jpg?v=8f6b847ddbMixed Problems: Set 2 | JEE Physics (English)Gravitation JEE Main-pattern mixed problems, Set 2: how a satellite's orbital radius must change to double its speed (r/4, not r/2), the escape to orbital speed ratio near the Earth (root 2), the energy needed to free a satellite (GMm/2r, the classic trap), a comet's aphelion speed from Kepler's second law, and why a satellite skimming a planet has a period set by its density alone (about 84.5 minutes).https://rankdeterminant.com/media/v/phy-u6-ch5-c3.mp4?v=8f6b847ddb4772026-10-15yes https://rankdeterminant.com/v/phy-u6-ch5-c4https://rankdeterminant.com/media/v/phy-u6-ch5-c4.jpg?v=bae7455e14Mixed Problems: Set 3 | JEE Physics (English)Mixed JEE Main-style gravitation problems on periods: Kepler's third law in ratio form for a satellite at half the geostationary radius (8.5 h, not 12 h), the field inside a uniform Earth, and a smooth tunnel along a chord, where the body moves in simple harmonic motion with the 84.6-minute period of a satellite skimming the surface. Two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u6-ch5-c4.mp4?v=bae7455e144662026-10-15yes https://rankdeterminant.com/v/phy-u6-ch6-c1https://rankdeterminant.com/media/v/phy-u6-ch6-c1.jpg?v=cc483466ce-382db0Overview | JEE Physics (English)How to use the Gravitation unit problem bank: Part A as a 30-minute test after Chapters 1–5, Part B longer JEE Advanced problems, Part C concept checks in statement form, and two solved problems: the height where a body loses 36% of its weight, and a body dropped into a tunnel through the Earth, which performs SHM with a period of about 84.6 minutes.https://rankdeterminant.com/media/v/phy-u6-ch6-c1.mp4?v=cc483466ce-382db04822026-10-17yes https://rankdeterminant.com/v/phy-u6-ch6-c2https://rankdeterminant.com/media/v/phy-u6-ch6-c2.jpg?v=1c33efe7ad-78efaePart A: JEE Main Level | JEE Physics (English)Four JEE Main level gravitation problems solved step by step: orbital speed at a height 3R, the period of a satellite at a height R, the height where a body loses 36% of its weight, and the energy a satellite in orbit needs to escape. With the classic traps: height versus radius, the short formula for g, and forgetting the satellite's kinetic energy.https://rankdeterminant.com/media/v/phy-u6-ch6-c2.mp4?v=1c33efe7ad-78efae4382026-10-17yes https://rankdeterminant.com/v/phy-u6-ch6-c4https://rankdeterminant.com/media/v/phy-u6-ch6-c4.jpg?v=4e01e74457-941be2Part C: Concept Checks | JEE Physics (English)Five gravitation concept checks in true-or-false form, solved with reasons: why astronauts in orbit are weightless, why orbital speed does not depend on the satellite's mass, g and potential at the centre of the Earth, why a geostationary satellite cannot stay above New Delhi, and why air drag makes a satellite speed up.https://rankdeterminant.com/media/v/phy-u6-ch6-c4.mp4?v=4e01e74457-941be24632026-10-17yes https://rankdeterminant.com/v/phy-u7-ch1-c1https://rankdeterminant.com/media/v/phy-u7-ch1-c1.jpg?v=3fc26ddbd1-9b7d81Stress, Strain and Hooke's Law | JEE Physics (English)Stress and strain explained from scratch: stress as restoring force per unit area in pascal, longitudinal, volume and shear strain, Hooke's law within the elastic limit, the stress-strain curve, Young's, bulk and shear moduli, why steel is more elastic than rubber, and two solved problems including the longest wire that can hang under its own weight.https://rankdeterminant.com/media/v/phy-u7-ch1-c1.mp4?v=3fc26ddbd1-9b7d815532026-10-16yes https://rankdeterminant.com/v/phy-u7-ch1-c2https://rankdeterminant.com/media/v/phy-u7-ch1-c2.jpg?v=0a28fb9f72-686eaeYoung's Modulus: Elongation Problems | JEE Physics (English)Elongation of a wire for JEE Physics, taught like a live class: delta L equals F L over A Y within the elastic limit, the wire as a spring with k equals Y A over L, the stretch of a hanging wire under its own weight (half the end-load value), wires in series and in parallel, the diameter trap, and two solved problems from the course.https://rankdeterminant.com/media/v/phy-u7-ch1-c2.mp4?v=0a28fb9f72-686eae5352026-10-16yes https://rankdeterminant.com/v/phy-u7-ch1-c3https://rankdeterminant.com/media/v/phy-u7-ch1-c3.jpg?v=d49f337db1-74f2f9Bulk Modulus, Shear Modulus and Poisson's Ratio | JEE Physics (English)Bulk modulus, compressibility, shear modulus (modulus of rigidity) and Poisson's ratio explained for JEE Physics: why B has a minus sign, B = P and B = gamma P for a gas, density and a squeezed sphere, shear strain, the range of Poisson's ratio, the relations Y = 2η(1+σ) = 3B(1−2σ), and whether a stretched wire changes its volume, with two solved problems.https://rankdeterminant.com/media/v/phy-u7-ch1-c3.mp4?v=d49f337db1-74f2f95442026-10-16yes https://rankdeterminant.com/v/phy-u7-ch1-c4https://rankdeterminant.com/media/v/phy-u7-ch1-c4.jpg?v=c4d1466543-be3a38Elastic Potential Energy | JEE Physics (English)Elastic potential energy stored in a stretched wire for JEE Physics: why the work done is the area under the force-extension graph, U = ½F ΔL = ½k(ΔL)² = F²L/2AY, energy per unit volume = ½ stress × strain = stress²/2Y = ½Y strain², the missing-half trap, and two solved problems, including the speed of a catapult stone.https://rankdeterminant.com/media/v/phy-u7-ch1-c4.mp4?v=c4d1466543-be3a385132026-10-16yes https://rankdeterminant.com/v/phy-u7-ch2-c1https://rankdeterminant.com/media/v/phy-u7-ch2-c1.jpg?v=2b43c96dd0-8fd659Pressure in a Fluid | JEE Physics (English)Pressure in a fluid for JEE Physics: pressure as normal force per unit area, pascal and atmosphere, P = P0 + ρgh, gauge versus absolute pressure, the hydrostatic paradox, the mercury and water barometer, the U-tube and manometer rule, and the force on a dam wall, with two solved problems and the classic U-tube trap.https://rankdeterminant.com/media/v/phy-u7-ch2-c1.mp4?v=2b43c96dd0-8fd6594862026-10-16yes https://rankdeterminant.com/v/phy-u7-ch2-c2https://rankdeterminant.com/media/v/phy-u7-ch2-c2.jpg?v=6e798381da-f14808Pascal's Law and Hydraulic Machines | JEE Physics (English)Pascal's law for JEE Physics: why a pressure change in an enclosed, incompressible fluid is transmitted undiminished, the hydraulic lift formula F1/A1 = F2/A2, the diameter-squared trap, the square-centimetre conversion trap, energy conservation F1d1 = F2d2, hydraulic brakes, and two solved problems: the force that holds up a car and how far the car rises.https://rankdeterminant.com/media/v/phy-u7-ch2-c2.mp4?v=6e798381da-f148084912026-10-16yes https://rankdeterminant.com/v/phy-u7-ch2-c3https://rankdeterminant.com/media/v/phy-u7-ch2-c3.jpg?v=8cd57ef50e-029386Buoyancy and Flotation | JEE Physics (English)Buoyancy and flotation for JEE Physics: Archimedes' principle, the upthrust F = ρVg with the liquid's density, apparent weight and loss of weight, relative density from two spring balance readings, the floating rule V_sub/V = ρ_body/ρ_liquid, how much of an iceberg is above the sea, and two solved problems with the mass versus weight trap and a block floating between oil and water.https://rankdeterminant.com/media/v/phy-u7-ch2-c3.mp4?v=8cd57ef50e-0293864992026-10-16yes https://rankdeterminant.com/v/phy-u7-ch2-c4https://rankdeterminant.com/media/v/phy-u7-ch2-c4.jpg?v=d892140593-65e1e6Fluids in Accelerating Containers | JEE Physics (English)Fluids in accelerating containers for JEE Physics: the one idea of effective gravity, g eff = g - a; pressure P = P0 + rho(g+a)h in a lift going up; why a floating block's submerged fraction does not change; no upthrust in free fall; the tilted free surface tan theta = a/g; the paraboloid surface of a rotating liquid; and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u7-ch2-c4.mp4?v=d892140593-65e1e64872026-10-16yes https://rankdeterminant.com/v/phy-u7-ch3-c1https://rankdeterminant.com/media/v/phy-u7-ch3-c1.jpg?v=97380f55e8-29c713Kinds of Flow and the Equation of Continuity | JEE Physics (English)The equation of continuity for JEE Physics: steady, streamline or laminar flow versus turbulent flow, why streamlines never cross, A1v1 = A2v2 = Q for an ideal fluid, the volume flow rate, why speed goes as 1/r² in a circular pipe, why a tap's stream narrows as it falls, and two solved problems with the radius trap and the cm² to m² unit trap.https://rankdeterminant.com/media/v/phy-u7-ch3-c1.mp4?v=97380f55e8-29c7135262026-10-16yes https://rankdeterminant.com/v/phy-u7-ch3-c2https://rankdeterminant.com/media/v/phy-u7-ch3-c2.jpg?v=befd842bcd-c67b72Bernoulli's Equation and its Applications | JEE Physics (English)Bernoulli's equation for JEE Physics: P + ½ρv² + ρgh = constant as energy per unit volume, the conditions it needs (steady flow of an ideal fluid along a streamline), why faster flow means lower pressure and storms lift roofs, Torricelli's speed of efflux √(2gh), the range of a jet from a tank and where the hole should be, with two solved problems and the common traps.https://rankdeterminant.com/media/v/phy-u7-ch3-c2.mp4?v=befd842bcd-c67b725152026-10-16yes https://rankdeterminant.com/v/phy-u7-ch3-c3https://rankdeterminant.com/media/v/phy-u7-ch3-c3.jpg?v=7317832b6a-bbf0f1Viscosity | JEE Physics (English)Viscosity for JEE Physics: Newton's law of viscosity F = ηA dv/dz, the unit pascal second and the poise, the dimensions of η, why liquids get thinner but gases more viscous when heated, Stokes' law F = 6πηrv, terminal velocity 2r²(ρ−σ)g/9η, why air bubbles rise, Poiseuille's equation with Q ∝ r⁴ and viscous resistance, and two solved problems with the millimetre trap and the density-difference trap.https://rankdeterminant.com/media/v/phy-u7-ch3-c3.mp4?v=7317832b6a-bbf0f15412026-10-16yes https://rankdeterminant.com/v/phy-u7-ch3-c4https://rankdeterminant.com/media/v/phy-u7-ch3-c4.jpg?v=294fb5057d-c6d9b6Reynolds Number and Turbulence | JEE Physics (English)The Reynolds number for JEE Physics: Re = ρvD/η as the ratio of inertial to viscous forces, why it is dimensionless, streamline flow below 1000, turbulent flow above 2000 and unsteady in between, the critical velocity formula, and two solved problems with the diameter-versus-radius trap and SI units.https://rankdeterminant.com/media/v/phy-u7-ch3-c4.mp4?v=294fb5057d-c6d9b65302026-10-16yes https://rankdeterminant.com/v/phy-u7-ch4-c1https://rankdeterminant.com/media/v/phy-u7-ch4-c1.jpg?v=3c0467298b-725771Surface Tension and Surface Energy | JEE Physics (English)Surface tension and surface energy for JEE Physics: why a surface molecule is pulled inward, T = F/L in newton per metre, surface energy W = TΔA, dimensions MT⁻², why a soap film and a soap bubble have two surfaces but a drop has one, how temperature and detergents change surface tension, and two solved problems: the force on a slider and the energy released when eight drops merge.https://rankdeterminant.com/media/v/phy-u7-ch4-c1.mp4?v=3c0467298b-7257715112026-10-16yes https://rankdeterminant.com/v/phy-u7-ch4-c2https://rankdeterminant.com/media/v/phy-u7-ch4-c2.jpg?v=74432da8e5-bb5461Excess Pressure Inside Drops and Bubbles | JEE Physics (English)Excess pressure inside drops and bubbles for JEE Physics: why a curved liquid surface has higher pressure on its concave side, 2T/R for a drop and for an air bubble in a liquid, 4T/R for a soap bubble with two surfaces, the pressure inside a bubble at depth h, why a small bubble empties into a big one, the common film radius, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u7-ch4-c2.mp4?v=74432da8e5-bb54614992026-10-16yes https://rankdeterminant.com/v/phy-u7-ch4-c3https://rankdeterminant.com/media/v/phy-u7-ch4-c3.jpg?v=6b76803385-9915d3Angle of Contact and Capillarity | JEE Physics (English)Capillarity and angle of contact for JEE Physics: what the angle of contact is, why water wets glass and mercury does not, Jurin's law h = 2T cos θ / rρg, why mercury is depressed, why hr is constant, what happens in a short tube, a tilted tube, a lift and free fall, and two solved problems: the rise of water and the depression of mercury in a glass capillary.https://rankdeterminant.com/media/v/phy-u7-ch4-c3.mp4?v=6b76803385-9915d34822026-10-16yes https://rankdeterminant.com/v/phy-u7-ch5-c1https://rankdeterminant.com/media/v/phy-u7-ch5-c1.jpg?v=1bd63b4831-4d5953Temperature and Thermometry | JEE Physics (English)Temperature and thermometry for JEE Physics Class 11: the zeroth law, the ice point and steam point, the conversion C/100 = (F−32)/180 = (K−273.15)/100, the rule (X−L)/(U−L) for any linear scale, the triple point of water 273.16 K versus the ice point 273.15 K, and two solved problems: where Celsius equals Fahrenheit, and a faulty thermometer.https://rankdeterminant.com/media/v/phy-u7-ch5-c1.mp4?v=1bd63b4831-4d59535332026-10-16yes https://rankdeterminant.com/v/phy-u7-ch5-c2https://rankdeterminant.com/media/v/phy-u7-ch5-c2.jpg?v=19ec886737-7812a1Thermal Expansion | JEE Physics (English)Thermal expansion for JEE Physics: linear expansion ΔL = LαΔT, why β = 2α and γ = 3α, why a hole in a heated plate gets bigger, real and apparent expansion of liquids, why water is densest at 4°C and lakes freeze from the top, thermal stress in a clamped rod, pendulum clocks in summer, and two solved problems: the gap between railway rails and the force on the walls.https://rankdeterminant.com/media/v/phy-u7-ch5-c2.mp4?v=19ec886737-7812a15212026-10-16yes https://rankdeterminant.com/v/phy-u7-ch5-c3https://rankdeterminant.com/media/v/phy-u7-ch5-c3.jpg?v=810236ecfb-3c9e46Calorimetry | JEE Physics (English)Calorimetry for JEE Physics Class 11: the heat to change temperature Q = msΔT, specific heat and heat capacity, latent heat Q = mL for melting and boiling, the principle of calorimetry (heat lost = heat gained in an insulated system), the water equivalent of a calorimeter, and two solved problems: mixing hot and cold water, and ice in warm water where not all the ice melts.https://rankdeterminant.com/media/v/phy-u7-ch5-c3.mp4?v=810236ecfb-3c9e465052026-10-16yes https://rankdeterminant.com/v/phy-u7-ch6-c1https://rankdeterminant.com/media/v/phy-u7-ch6-c1.jpg?v=8baba200ec-a6abdfConduction | JEE Physics (English)Conduction of heat for JEE Physics: Fourier's law H = KAΔT/L in the steady state, thermal conductivity, thermal resistance R = L/KA and the Ohm's law analogy, slabs in series and parallel, equivalent conductivity (harmonic versus arithmetic mean), the temperature-drop trick, and two solved problems: heat flow through a copper rod and the heat loss through an insulated brick wall.https://rankdeterminant.com/media/v/phy-u7-ch6-c1.mp4?v=8baba200ec-a6abdf4972026-10-16yes https://rankdeterminant.com/v/phy-u7-ch6-c2https://rankdeterminant.com/media/v/phy-u7-ch6-c2.jpg?v=de6dc9212d-98db5aConvection | JEE Physics (English)Convection for JEE Physics: heat carried by the bulk motion of a fluid, why warmer and less dense fluid rises, convection currents, natural versus forced convection, why a pan is heated from below, the satellite trap, the sea breeze, and two solved questions: the room heater and air conditioner, and why a tall chimney draws air better.https://rankdeterminant.com/media/v/phy-u7-ch6-c2.mp4?v=de6dc9212d-98db5a4842026-10-16yes https://rankdeterminant.com/v/phy-u7-ch6-c3https://rankdeterminant.com/media/v/phy-u7-ch6-c3.jpg?v=76a5a9605c-a74393Radiation | JEE Physics (English)Thermal radiation for JEE Physics: absorptivity, reflectivity and transmissivity (a + r + t = 1), the black body, Kirchhoff's law (good absorbers are good emitters, e = a), the Stefan-Boltzmann law P = eσAT⁴ and the net loss to the surroundings, Wien's displacement law, the fourth-power trap, and two solved problems: a black sphere at 500 K and a person's radiative heat loss in a room.https://rankdeterminant.com/media/v/phy-u7-ch6-c3.mp4?v=76a5a9605c-a743934992026-10-16yes https://rankdeterminant.com/v/phy-u7-ch6-c4https://rankdeterminant.com/media/v/phy-u7-ch6-c4.jpg?v=42a77eaac0-096ae5Newton's Law of Cooling | JEE Physics (English)Newton's law of cooling for JEE Physics: the rate of cooling is proportional to the excess temperature, the exact exponential form, why the excess falls by equal factors in equal times, the average form for short intervals, how the law follows from Stefan's law for small temperature differences, and two solved problems with the classic linear-cooling trap.https://rankdeterminant.com/media/v/phy-u7-ch6-c4.mp4?v=42a77eaac0-096ae55452026-10-16yes https://rankdeterminant.com/v/phy-u7-ch7-c1https://rankdeterminant.com/media/v/phy-u7-ch7-c1.jpg?v=9b2b1c5de1-451c15Overview | JEE Physics (English)How JEE mixes the properties of solids and liquids: a stretched wire, a floating block, a capillary and a cooling body in one paper. The values to take (g = 10, water 1000 kg/m3, 4200 J/kg K, latent heat 80 cal/g), the first formula for each type with its conditions, the capital T trap, and two solved problems: a block floating in oil and ice melting in warm water.https://rankdeterminant.com/media/v/phy-u7-ch7-c1.mp4?v=9b2b1c5de1-451c155222026-10-16yes https://rankdeterminant.com/v/phy-u7-ch7-c2https://rankdeterminant.com/media/v/phy-u7-ch7-c2.jpg?v=e661b8096e-f65a5eMixed Problems: Set 1 | JEE Physics (English)A quick mixed set for JEE Main on properties of solids and liquids: the extension of a loaded wire with Young's modulus, the ratio trap when the diameter changes, pressure at a depth in a lake, the equation of continuity in a narrowing pipe, excess pressure inside a soap bubble (two surfaces, so 4T over r), and the Stefan-Boltzmann law with temperatures in kelvin, each with its classic trap.https://rankdeterminant.com/media/v/phy-u7-ch7-c2.mp4?v=e661b8096e-f65a5e5362026-10-16yes https://rankdeterminant.com/v/phy-u7-ch7-c3https://rankdeterminant.com/media/v/phy-u7-ch7-c3.jpg?v=2f64a2450e-74a80cMixed Problems: Set 2 | JEE Physics (English)Four mixed JEE-pattern problems on properties of solids and liquids, solved step by step: Poisson's ratio and the volume change of a stretched wire, the work to blow up a soap bubble (two surfaces), ice melting in warm water (why 32°C is wrong), and the flow rate through a venturi meter from continuity and Bernoulli's equation. With the classic traps at each step.https://rankdeterminant.com/media/v/phy-u7-ch7-c3.mp4?v=2f64a2450e-74a80c5272026-10-16yes https://rankdeterminant.com/v/phy-u7-ch7-c4https://rankdeterminant.com/media/v/phy-u7-ch7-c4.jpg?v=0ac03fe3e9-c15049Mixed Problems: Set 3 | JEE Physics (English)Two hard JEE-pattern heat problems built on one idea, the steady state: heater power equals the rate of heat loss. Find the initial rate of cooling of water just after a 500 W heater is switched off, with no area or cooling constant needed, and the power that keeps a black sphere at 1000 K in a vacuum, using the Stefan-Boltzmann law and the classic (T - T0)^4 trap.https://rankdeterminant.com/media/v/phy-u7-ch7-c4.mp4?v=0ac03fe3e9-c150495222026-10-16yes https://rankdeterminant.com/v/phy-u7-ch8-c1https://rankdeterminant.com/media/v/phy-u7-ch8-c1.jpg?v=22852f54f5-b5b66dOverview | JEE Physics (English)How to use the properties of solids and liquids problem bank: Part A as a 30-minute JEE Main-level test after Chapters 1 to 7, Part B's longer JEE Advanced problems, Part C's concept checks (is rubber more elastic than steel?), and two solved problems: the force needed to lift a wire ring off water, and two soap bubbles that merge in a vacuum.https://rankdeterminant.com/media/v/phy-u7-ch8-c1.mp4?v=22852f54f5-b5b66d4522026-10-16yes https://rankdeterminant.com/v/phy-u7-ch8-c2https://rankdeterminant.com/media/v/phy-u7-ch8-c2.jpg?v=23fd4d7f4a-b4d874Part A: JEE Main Level | JEE Physics (English)Five JEE Main-level problems from the properties of solids and liquids problem bank, solved step by step: the density of a floating body, why halving a tube's radius cuts the flow to one sixteenth (Poiseuille), volume expansion with gamma = 3 alpha, a wire's natural length from two loads by Hooke's law, and the heat that turns ice at -10 °C into steam.https://rankdeterminant.com/media/v/phy-u7-ch8-c2.mp4?v=23fd4d7f4a-b4d8745012026-10-17yes https://rankdeterminant.com/v/phy-u7-ch8-c4https://rankdeterminant.com/media/v/phy-u7-ch8-c4.jpg?v=f7b0360a7a-04ee06Part C: Concept Checks | JEE Physics (English)Six quick concept checks on properties of solids and liquids for JEE Physics, taught like a live class: why small drops are spherical, why a steel needle floats and sinks when detergent is added, whether rubber is more elastic than steel, the acceleration at terminal velocity, two soap bubbles joined by a tube, and why a pond freezes from the top while fish survive.https://rankdeterminant.com/media/v/phy-u7-ch8-c4.mp4?v=f7b0360a7a-04ee065102026-10-16yes https://rankdeterminant.com/v/phy-u8-ch1-c1https://rankdeterminant.com/media/v/phy-u8-ch1-c1.jpg?v=0209c85686-e9957cSystems, Equilibrium and the Zeroth Law | JEE Physics (English)The zeroth law of thermodynamics and the basic language of thermodynamics for JEE Physics: system and surroundings, open, closed and isolated systems, state variables, intensive and extensive properties with a quick halving test, thermal equilibrium, why a thermometer works, and two solved questions with the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch1-c1.mp4?v=0209c85686-e9957c4892026-10-16yes https://rankdeterminant.com/v/phy-u8-ch1-c2https://rankdeterminant.com/media/v/phy-u8-ch1-c2.jpg?v=ef8f5ca771-aae7d7Internal Energy, Heat and Work | JEE Physics (English)Internal energy, heat and work for JEE Physics thermodynamics: why U is a state function that depends only on temperature for an ideal gas, why heat and work are path functions, work done by a gas as the area under the p-V curve, the sign convention, work in a cycle, and two solved problems: a constant-pressure expansion and a straight-line process.https://rankdeterminant.com/media/v/phy-u8-ch1-c2.mp4?v=ef8f5ca771-aae7d75002026-10-16yes https://rankdeterminant.com/v/phy-u8-ch1-c3https://rankdeterminant.com/media/v/phy-u8-ch1-c3.jpg?v=e679f733b6-932da9The First Law of Thermodynamics | JEE Physics (English)The first law of thermodynamics, Q = ΔU + W, taught like a live class for JEE Physics: heat given to the system, work done by the system, the sign convention trap, the chemists' form ΔU = Q + W(on), why ΔU is the same for every path while Q and W are not, cyclic processes, and two solved problems with the classic sign mistakes.https://rankdeterminant.com/media/v/phy-u8-ch1-c3.mp4?v=e679f733b6-932da94772026-10-16yes https://rankdeterminant.com/v/phy-u8-ch2-c1https://rankdeterminant.com/media/v/phy-u8-ch2-c1.jpg?v=bf9d6a768e-4d815cThe Standard Processes | JEE Physics (English)Isothermal, isobaric and isochoric processes of an ideal gas, taught like a live class for JEE Physics: work, heat and change in internal energy in each, why delta U = nCv delta T in every process, Q = nCp delta T at constant pressure, the isothermal work nRT ln(V2/V1), the polytropic process pV^x = constant, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch2-c1.mp4?v=bf9d6a768e-4d815c5442026-10-16yes https://rankdeterminant.com/v/phy-u8-ch2-c2https://rankdeterminant.com/media/v/phy-u8-ch2-c2.jpg?v=bb9f4a1374-446b9aGeneral Processes and the Highest Temperature | JEE Physics (English)How to handle any process p = f(V) for an ideal gas: work as the integral of p dV, temperature from pV = nRT, the highest temperature on a straight-line p–V process at the midpoint between the intercepts, checking whether heat is absorbed with dQ = nCv dT + p dV, and two solved JEE-style problems with the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch2-c2.mp4?v=bb9f4a1374-446b9a4952026-10-16yes https://rankdeterminant.com/v/phy-u8-ch2-c3https://rankdeterminant.com/media/v/phy-u8-ch2-c3.jpg?v=598f02da64-d233ccCyclic Processes | JEE Physics (English)Cyclic processes for JEE Physics, taught like a live class: why delta U is zero over a full cycle, why the net heat equals the net work, the net work as the area enclosed on the p-V diagram (clockwise positive), a step-by-step recipe for any cycle, and two solved problems: a rectangular p-V cycle, and a V-T rectangle that turns out anticlockwise on p-V.https://rankdeterminant.com/media/v/phy-u8-ch2-c3.mp4?v=598f02da64-d233cc4892026-10-16yes https://rankdeterminant.com/v/phy-u8-ch3-c1https://rankdeterminant.com/media/v/phy-u8-ch3-c1.jpg?v=636a700156-0b6eb1The Adiabatic Relations | JEE Physics (English)The reversible adiabatic process for JEE: why Q = 0 gives W = −ΔU, the three adiabatic relations pV^γ, TV^(γ−1) and p^(1−γ)T^γ constant, γ = Cp/Cv, the work done nCv(T1 − T2), why the adiabat is γ times steeper than the isotherm, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch3-c1.mp4?v=636a700156-0b6eb15022026-10-16yes https://rankdeterminant.com/v/phy-u8-ch3-c2https://rankdeterminant.com/media/v/phy-u8-ch3-c2.jpg?v=7b8bda54c0-81160dFree Expansion, Bulk Modulus and Sound | JEE Physics (English)Why a gas expanding into a vacuum does no work and keeps its temperature, why the bulk modulus of a gas is p when isothermal but gamma times p when adiabatic, and how Laplace corrected Newton's formula for the speed of sound in air, with two solved JEE-style problems and the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch3-c2.mp4?v=7b8bda54c0-81160d4952026-10-16yes https://rankdeterminant.com/v/phy-u8-ch4-c1https://rankdeterminant.com/media/v/phy-u8-ch4-c1.jpg?v=0cea69b5a2-0f8c09C_v, C_p and Mayer's Relation | JEE Physics (English)Molar heat capacities of an ideal gas for JEE: what Cv and Cp mean, why Cv = dU/(n dT), Mayer's relation Cp - Cv = R from the first law, the per-kilogram form cp - cv = R/M, gamma = Cp/Cv and why it is always above one, Cv = R/(gamma - 1), the share of heat that raises U at constant pressure, and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch4-c1.mp4?v=0cea69b5a2-0f8c095042026-10-16yes https://rankdeterminant.com/v/phy-u8-ch4-c2https://rankdeterminant.com/media/v/phy-u8-ch4-c2.jpg?v=60ab9c9e1f-2b4a4dDegrees of Freedom and Equipartition | JEE Physics (English)Degrees of freedom and the law of equipartition made simple: why each degree of freedom carries half kT, how U, Cv, Cp and gamma follow from f, the values for monatomic, diatomic and polyatomic gases, why a vibrational mode adds two, and how to find Cv, Cp and gamma of a gas mixture, with two solved JEE-style problems and the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch4-c2.mp4?v=60ab9c9e1f-2b4a4d5242026-10-16yes https://rankdeterminant.com/v/phy-u8-ch4-c3https://rankdeterminant.com/media/v/phy-u8-ch4-c3.jpg?v=1fc8466c0c-5a6fb7Molar Heat Capacity of a General Process | JEE Physics (English)Molar heat capacity of an ideal gas in any process for JEE: C = Cv + (p/n) dV/dT from the first law, the polytropic formula C = Cv + R/(1 - x), how isobaric, isothermal, adiabatic and isochoric processes fit as special cases, why C is negative for 1 < x < gamma (the gas takes in heat yet cools), and two solved problems with the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch4-c3.mp4?v=1fc8466c0c-5a6fb75182026-10-16yes https://rankdeterminant.com/v/phy-u8-ch5-c1https://rankdeterminant.com/media/v/phy-u8-ch5-c1.jpg?v=14fbafb568-ea7d22Heat Engines and Refrigerators | JEE Physics (English)Heat engines, refrigerators and heat pumps made simple: why W = Q1 - Q2 over a cycle, efficiency eta = W/Q1 = 1 - Q2/Q1, the refrigerator's coefficient of performance beta = Q2/W, the heat pump COP = beta + 1, the efficiency of a cycle using only the heat absorbed, and two solved JEE-style problems with the classic traps, including why an open fridge warms a closed room.https://rankdeterminant.com/media/v/phy-u8-ch5-c1.mp4?v=14fbafb568-ea7d224962026-10-16yes https://rankdeterminant.com/v/phy-u8-ch5-c2https://rankdeterminant.com/media/v/phy-u8-ch5-c2.jpg?v=db9d1c2899-11a9f4The Carnot Cycle and the Second Law | JEE Physics (English)The Carnot cycle for JEE: its four steps on the p-V diagram, why Q2/Q1 = T2/T1, the Carnot efficiency 1 - T2/T1 with temperatures in kelvin, the COP of a Carnot refrigerator T2/(T1 - T2), Carnot's theorem, the Kelvin-Planck and Clausius statements of the second law, and two solved problems, including two Carnot engines in series.https://rankdeterminant.com/media/v/phy-u8-ch5-c2.mp4?v=db9d1c2899-11a9f44882026-10-16yes https://rankdeterminant.com/v/phy-u8-ch5-c3https://rankdeterminant.com/media/v/phy-u8-ch5-c3.jpg?v=bc64af9d03-30fe4bEntropy and the Otto Cycle | JEE Physics (English)Entropy made simple: dS = dQ/T for a reversible process, entropy as a state function, Delta S for isothermal, constant-pressure and reversible adiabatic processes, the free expansion trap, the second law as Delta S >= 0 for an isolated system, why heat flows from hot to cold, and the Otto cycle efficiency 1 - r^(1 - gamma) of a petrol engine, with two solved JEE-style problems.https://rankdeterminant.com/media/v/phy-u8-ch5-c3.mp4?v=bc64af9d03-30fe4b5072026-10-16yes https://rankdeterminant.com/v/phy-u8-ch6-c1https://rankdeterminant.com/media/v/phy-u8-ch6-c1.jpg?v=25d4496b57-0fb3ffOverview | JEE Physics (English)How JEE Main asks thermodynamics: the first law on a p-V path, the standard processes, adiabatic relations, Cp, Cv and gamma, and Carnot efficiency. The sign convention, the conditions each formula needs (pV^gamma, free expansion, kelvin), and two solved problems: a Carnot engine between 227 °C and -23 °C, and one mole of nitrogen heated at constant pressure.https://rankdeterminant.com/media/v/phy-u8-ch6-c1.mp4?v=25d4496b57-0fb3ff5212026-10-16yes https://rankdeterminant.com/v/phy-u8-ch6-c2https://rankdeterminant.com/media/v/phy-u8-ch6-c2.jpg?v=1653771d25-230ca3Mixed Problems: Set 1 | JEE Physics (English)Mixed JEE Main-pattern problems on thermodynamics, set 1: the first law and its sign convention, heat at constant pressure with C p and moles from grams, adiabatic compression with T V to the power gamma minus one, Carnot efficiency in kelvin (why Celsius gives 110%), and work as the area under a p-V graph with litre atmospheres turned into joules, with the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch6-c2.mp4?v=1653771d25-230ca35062026-10-16yes https://rankdeterminant.com/v/phy-u8-ch6-c3https://rankdeterminant.com/media/v/phy-u8-ch6-c3.jpg?v=44804dcf85-52b0dcMixed Problems: Set 2 | JEE Physics (English)Four mixed JEE Main-pattern thermodynamics problems solved step by step: the source temperature of a Carnot engine (why 40.5°C is wrong), the molar heat capacity of a diatomic gas in the process pV^3 = constant, heat and work when nitrogen is heated at constant pressure, and the final temperature and work in a reversible adiabatic expansion. With the classic traps at each step.https://rankdeterminant.com/media/v/phy-u8-ch6-c3.mp4?v=44804dcf85-52b0dc5212026-10-16yes https://rankdeterminant.com/v/phy-u8-ch6-c4https://rankdeterminant.com/media/v/phy-u8-ch6-c4.jpg?v=2610311480-b9498bMixed Problems: Set 3 | JEE Physics (English)Mixed JEE Main-pattern problems on thermodynamics, set 3: why a sudden isothermal expansion against a constant external pressure gives only half n R T of work while the reversible one gives n R T ln 2, heat absorbed along a straight-line p-V path using pV = nRT, and the efficiency of a rectangular cycle of a diatomic gas (2/19, about 10.5%), with the classic traps.https://rankdeterminant.com/media/v/phy-u8-ch6-c4.mp4?v=2610311480-b9498b4892026-10-16yes https://rankdeterminant.com/v/phy-u8-ch7-c1https://rankdeterminant.com/media/v/phy-u8-ch7-c1.jpg?v=4456b5b31a-de36ebOverview | JEE Physics (English)How to use the thermodynamics problem bank: Part A as a 30-minute JEE Main-level test after Chapters 1 to 6, Part B's longer JEE Advanced problems, Part C's concept checks (can a gas get hotter with no heat supplied?), and two solved problems: delta U for a gas compressed at constant pressure, and the efficiency of a Stirling cycle compared with Carnot.https://rankdeterminant.com/media/v/phy-u8-ch7-c1.mp4?v=4456b5b31a-de36eb5052026-10-16yes https://rankdeterminant.com/v/phy-u8-ch7-c2https://rankdeterminant.com/media/v/phy-u8-ch7-c2.jpg?v=255e64b1a7-bcb603Part A: JEE Main Level | JEE Physics (English)Four JEE Main-level thermodynamics problems from the unit problem bank, solved step by step: the first law with the right signs (a gas compressed while losing heat, delta U = -600 J), Mayer's relation and gamma from Cv = 20, a heat engine of 30% efficiency that rejects 700 J, and the temperature rise when air is compressed adiabatically to double pressure, with the traps students fall into.https://rankdeterminant.com/media/v/phy-u8-ch7-c2.mp4?v=255e64b1a7-bcb6034822026-10-16yes https://rankdeterminant.com/v/phy-u8-ch7-c4https://rankdeterminant.com/media/v/phy-u8-ch7-c4.jpg?v=a7bf2ebd44-d8ad81Part C: Concept Checks | JEE Physics (English)Four quick thermodynamics concept checks for JEE Physics, taught like a live class: is the internal energy of a real gas a function of temperature alone, can a gas get hotter with no heat supplied (adiabatic compression), can heat go in without the temperature rising (isothermal expansion, and why it does not break Kelvin-Planck), and why a Carnot engine cannot be built in practice.https://rankdeterminant.com/media/v/phy-u8-ch7-c4.mp4?v=a7bf2ebd44-d8ad815062026-10-16yes https://rankdeterminant.com/v/phy-u9-ch1-c1https://rankdeterminant.com/media/v/phy-u9-ch1-c1.jpg?v=69bba45ad1-64463bThe Ideal-Gas Equation | JEE Physics (English)The ideal gas equation pV = nRT for JEE Physics: the gas constant R, Boltzmann's constant k, the forms pV = NkT and p = ρRT/M, Boyle's, Charles's, Gay-Lussac's and Avogadro's laws inside one equation, isotherms, p1V1/T1 = p2V2/T2, leaking gas, molar volume at STP, the kelvin and gauge-pressure traps, and two solved problems.https://rankdeterminant.com/media/v/phy-u9-ch1-c1.mp4?v=69bba45ad1-64463b5252026-10-17yes https://rankdeterminant.com/v/phy-u9-ch1-c2https://rankdeterminant.com/media/v/phy-u9-ch1-c2.jpg?v=eae3f402fb-211943Mixtures of Gases | JEE Physics (English)Mixtures of gases for JEE Physics kinetic theory: Dalton's law of partial pressures for non-reacting ideal gases, the partial pressure of each gas, mole fraction and why pressure is shared by moles and not by mass, the mean molar mass of a mixture as total mass over total moles, and two solved problems: helium and oxygen in one vessel, and the equal-mass hydrogen and helium trap.https://rankdeterminant.com/media/v/phy-u9-ch1-c2.mp4?v=eae3f402fb-2119434862026-10-17yes https://rankdeterminant.com/v/phy-u9-ch1-c3https://rankdeterminant.com/media/v/phy-u9-ch1-c3.jpg?v=bf4c0d00a3-a9d3eaReal Gases | JEE Physics (English)Real gases for JEE Physics, taught like a live class: why real gases are nearly ideal at low pressure and high temperature, the van der Waals equation with its constants a (attraction) and b (size), the one-mole form and its sign trap, the compressibility factor Z, and two solved problems: the Boyle temperature of nitrogen and the pressure of carbon dioxide.https://rankdeterminant.com/media/v/phy-u9-ch1-c3.mp4?v=bf4c0d00a3-a9d3ea4942026-10-17yes https://rankdeterminant.com/v/phy-u9-ch2-c1https://rankdeterminant.com/media/v/phy-u9-ch2-c1.jpg?v=d00af0a9d6-efb4f9The Kinetic Calculation of Pressure | JEE Physics (English)The kinetic calculation of gas pressure for JEE Physics, taught like a live class: the four assumptions of kinetic theory, why one molecule gives the wall 2mv_x, the time 2L/v_x between hits, why the average of v_x squared is one third of v squared, p = (1/3) rho v_rms squared, pV = (2/3) E_trans, and two solved problems on gas pressure and the force of a molecular beam.https://rankdeterminant.com/media/v/phy-u9-ch2-c1.mp4?v=d00af0a9d6-efb4f94772026-10-17yes https://rankdeterminant.com/v/phy-u9-ch2-c2https://rankdeterminant.com/media/v/phy-u9-ch2-c2.jpg?v=7676a6a512-522eb1The Kinetic Interpretation of Temperature | JEE Physics (English)Kinetic interpretation of temperature for JEE Physics: how comparing pV = 2/3 E with pV = NkT gives an average translational kinetic energy of 3/2 kT per molecule and 3/2 nRT per n moles, why it depends only on temperature and is the same for every gas in a mixture, the 5/2 kT trap for diatomic gases, and two solved problems: energy at 27 °C and the rms speed of nitrogen.https://rankdeterminant.com/media/v/phy-u9-ch2-c2.mp4?v=7676a6a512-522eb14782026-10-17yes https://rankdeterminant.com/v/phy-u9-ch3-c1https://rankdeterminant.com/media/v/phy-u9-ch3-c1.jpg?v=4bf4063da4-10122dThree Characteristic Speeds | JEE Physics (English)The three speeds of gas molecules for JEE Physics, taught like a live class: the Maxwell distribution and its long tail, why the most probable speed is less than the average speed, which is less than the rms speed, the formulas with M in kilograms per mole, the ratio 1 : 1.128 : 1.225, the pressure trap, Graham's law of effusion, and two solved problems for oxygen.https://rankdeterminant.com/media/v/phy-u9-ch3-c1.mp4?v=4bf4063da4-10122d4782026-10-17yes https://rankdeterminant.com/v/phy-u9-ch4-c1https://rankdeterminant.com/media/v/phy-u9-ch4-c1.jpg?v=fbe30b40bb-022da5Degrees of Freedom and Equipartition | JEE Physics (English)Degrees of freedom and the law of equipartition of energy for JEE Physics: half kT per degree of freedom, counting f for monatomic, diatomic, linear CO2 and non-linear molecules, why each vibrational mode adds 2, U = f/2 nRT, Cv, Cp and gamma = 1 + 2/f, and two solved problems: the internal energy of oxygen and the rotational energy of hydrogen.https://rankdeterminant.com/media/v/phy-u9-ch4-c1.mp4?v=fbe30b40bb-022da55092026-10-17yes https://rankdeterminant.com/v/phy-u9-ch4-c2https://rankdeterminant.com/media/v/phy-u9-ch4-c2.jpg?v=cc1fe31735-13fafaMixtures, Speed of Sound and Moving Containers | JEE Physics (English)Gamma of a gas mixture for JEE Physics: why you average Cv by moles and never the gammas, the speed of sound in a gas and the ratio vrms/vs = root(3/gamma), the temperature rise when a moving container of gas stops suddenly, and two solved problems: helium plus oxygen, and a box of oxygen stopped at 100 m/s.https://rankdeterminant.com/media/v/phy-u9-ch4-c2.mp4?v=cc1fe31735-13fafa4672026-10-17yes https://rankdeterminant.com/v/phy-u9-ch5-c1https://rankdeterminant.com/media/v/phy-u9-ch5-c1.jpg?v=365a5c1fbe-28427cMean Free Path | JEE Physics (English)Mean free path for JEE Physics: lambda = 1/(√2 π d² n) = kT/(√2 π d² p), with d the molecular diameter and n the number density; collision frequency v̄/λ and mean free time λ/v̄; how λ changes with pressure and temperature, including the sealed-container trap; two solved problems for nitrogen at STP; and why a smell crosses a room slowly.https://rankdeterminant.com/media/v/phy-u9-ch5-c1.mp4?v=365a5c1fbe-28427c4992026-10-17yes https://rankdeterminant.com/v/phy-u9-ch6-c1https://rankdeterminant.com/media/v/phy-u9-ch6-c1.jpg?v=aa1b0eb4e8-85cf85Overview | JEE Physics (English)Kinetic theory of gases for JEE Main in one overview: the four short question types (ratios of rms speeds, energy per molecule or per mole, degrees of freedom and gamma, mean free path), the constants R and k, the kelvin trap in the ratio of rms speeds at 327°C and 27°C, and why gamma of a gas mixture comes from the average Cv, never the average of the gammas.https://rankdeterminant.com/media/v/phy-u9-ch6-c1.mp4?v=aa1b0eb4e8-85cf854732026-10-17yes https://rankdeterminant.com/v/phy-u9-ch6-c2https://rankdeterminant.com/media/v/phy-u9-ch6-c2.jpg?v=699dffd2ea-3f3be0Mixed Problems: Set 1 | JEE Physics (English)Mixed JEE Main-pattern problems on the kinetic theory of gases, set 1: when to use R and when Boltzmann's constant k, pressure from number density with p = nkT, the average translational kinetic energy 3/2 kT, the internal energy of helium, degrees of freedom and gamma from Cv, the rms speed ratio trap with degrees Celsius, and the density of nitrogen from pM/RT.https://rankdeterminant.com/media/v/phy-u9-ch6-c2.mp4?v=699dffd2ea-3f3be04662026-10-17yes https://rankdeterminant.com/v/phy-u9-ch6-c3https://rankdeterminant.com/media/v/phy-u9-ch6-c3.jpg?v=e787ac9c0d-bdc25fMixed Problems: Set 2 | JEE Physics (English)Kinetic theory of gases, JEE Main-pattern mixed problems, Set 2: when helium matches the rms speed of oxygen, the pressure of a gas from its molecules, how the mean free path changes with temperature and pressure, the heat for a rigid diatomic gas at constant pressure, and why doubling the rms speed needs four times the temperature.https://rankdeterminant.com/media/v/phy-u9-ch6-c3.mp4?v=e787ac9c0d-bdc25f4782026-10-17yes https://rankdeterminant.com/v/phy-u9-ch6-c4https://rankdeterminant.com/media/v/phy-u9-ch6-c4.jpg?v=a87211403d-45fc36Mixed Problems: Set 3 | JEE Physics (English)Mixed JEE Main-pattern problems on the kinetic theory of gases, set 3: the rotational share of a diatomic gas's internal energy, the heat to warm water vapour with Cv = 3R, the temperature at which nitrogen's rms speed is 1 km/s, the effective degrees of freedom and gamma of an oxygen and argon mixture, and the final temperature when helium and oxygen at different temperatures are mixed.https://rankdeterminant.com/media/v/phy-u9-ch6-c4.mp4?v=a87211403d-45fc364802026-10-17yes https://rankdeterminant.com/v/phy-u9-ch6-c5https://rankdeterminant.com/media/v/phy-u9-ch6-c5.jpg?v=3f4d929ef1-a04c5dMixed Problems: Set 4 | JEE Physics (English)Kinetic theory of gases, JEE Main-pattern mixed problems, Set 4: count the molecules left in an ultra-high vacuum from p over kT, why a helium atom and an oxygen molecule at the same temperature have the same average translational kinetic energy, degrees of freedom with Cv, Cp and gamma, and gamma of a hydrogen and water vapour mixture without the averaging trap.https://rankdeterminant.com/media/v/phy-u9-ch6-c5.mp4?v=3f4d929ef1-a04c5d4662026-10-17yes https://rankdeterminant.com/v/phy-u9-ch7-c1https://rankdeterminant.com/media/v/phy-u9-ch7-c1.jpg?v=a179a12ee1-1daaf4Overview | JEE Physics (English)How to use the kinetic theory problem bank: Part A as a 30-minute JEE Main-level test after Chapters 1 to 6, Part B's longer JEE Advanced problems, Part C's concept checks (does a moving container of gas get hotter? why did the Earth lose its hydrogen?), and two solved problems: energy and rms speed ratios of two gases, and the temperature at which hydrogen's rms speed equals oxygen's mean speed.https://rankdeterminant.com/media/v/phy-u9-ch7-c1.mp4?v=a179a12ee1-1daaf44912026-10-17yes https://rankdeterminant.com/v/phy-u9-ch7-c2https://rankdeterminant.com/media/v/phy-u9-ch7-c2.jpg?v=ac95d62ca7-0c79adPart A: JEE Main Level | JEE Physics (English)Five JEE Main-level kinetic theory problems from the unit problem bank, solved step by step: why the rms speed does not change when the pressure is made four times at constant temperature, equal kinetic energy per molecule but a 4:1 ratio of rms speeds, degrees of freedom from gamma = 1.4, the rms speed of argon at 27 degrees Celsius (433 m/s) and the total kinetic energy of one mole of oxygen (6.24 kJ), with the traps.https://rankdeterminant.com/media/v/phy-u9-ch7-c2.mp4?v=ac95d62ca7-0c79ad4892026-10-17yes https://rankdeterminant.com/v/phy-u9-ch7-c4https://rankdeterminant.com/media/v/phy-u9-ch7-c4.jpg?v=d499b3438d-590d55Part C: Concept Checks | JEE Physics (English)Six kinetic theory concept checks for JEE: can the average velocity be zero while the rms speed is not, does a moving container of gas get hotter, why Cp is greater than Cv, why the Earth lost its hydrogen, helium or xenon for the longer mean free path, and is the rms speed equal to the speed of sound.https://rankdeterminant.com/media/v/phy-u9-ch7-c4.mp4?v=d499b3438d-590d554942026-10-17yes