JEE Main 6-Month Plan

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.

Reflection, refraction, spherical mirrors, lenses, prism, total internal reflection, and optical instruments.

Photoelectric effect, Einstein's equation, photon concept, de Broglie wavelength, and wave-particle duality.

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.

Trends in atomic radius, ionisation energy, electronegativity, electron affinity across periods and groups; s, p, d, f blocks.

Group 13-18 elements — boron, carbon family, nitrogen, oxygen, halogen, and noble gas compounds.

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.

Continuity and differentiability, intermediate value theorem, and behavior of functions at points.

Relationship between continuity and differentiability, Rolle's and Lagrange's mean value theorems, and derivative as a rate measure.

Integration as antiderivative, standard integration formulas, substitution method, partial fractions, and integration by parts.