JEE Main 12-Hour Crash

Newton's three laws, free body diagrams, friction, pulley problems, and application of momentum conservation.

Work done by forces, kinetic and potential energy, work-energy theorem, and power calculations.

Laws of thermodynamics, specific heat capacities, isothermal and adiabatic processes, and heat engines.

Coulomb's law, electric field, electric dipole, Gauss's law, electric potential, and capacitance.

Electric current, Ohm's law, resistivity, combination of resistors, Kirchhoff's laws, and circuit analysis.

Electromagnetic induction — Faraday's law, Lenz's law, motional EMF, self and mutual inductance, and AC generators.

Ionic, covalent, metallic, hydrogen, and van der Waals bonds; VSEPR theory, hybridisation, MOT, and dipole moment.

Internal energy, enthalpy, Hess's law, Gibbs free energy, spontaneity, and thermochemical calculations.

Bohr model, quantum numbers, Aufbau principle, Hund's rule, Pauli's exclusion principle, and electronic configuration.

Chemical equilibrium, Le Chatelier's principle, Kp and Kc, ionic equilibrium, pH, buffers, and solubility product.

Galvanic cells, electrolytic cells, Nernst equation, conductance, Faraday's laws, and batteries.

Rate of reaction, rate laws, order, molecularity, Arrhenius equation, and half-life calculations.

Trigonometric ratios, identities, equations, inverse trig, and solution of triangles using sine and cosine rules.

Limits of functions, L'Hospital's rule, limits of indeterminate forms, and standard limit formulas.

Derivatives of various functions, product, quotient, chain rules, and implicit differentiation.

Application of derivatives — equations of tangent and normal, finding maxima and minima, monotonicity, and optimisation problems.

Complex numbers in algebraic form, Argand plane, modulus, argument, and De Moivre's theorem.