JEE Advanced Syllabus (Detailed)

Units and dimensions, dimensional analysis, least count, significant figures, methods of measurement and error analysis. Experimental skills: vernier, screw gauge, simple pendulum, Young’s modulus, surface tension, specific heat, etc.

Kinematics in one and two dimensions, projectiles, relative velocity, Newton’s laws, friction, circular motion, work-energy theorem, collisions, centre of mass, rigid body dynamics, rotational motion, moment of inertia, angular momentum, gravitation, Kepler’s laws, fluid mechanics, viscosity, surface tension, Bernoulli’s principle, SHM, waves, Doppler effect.

Thermal expansion, calorimetry, heat transfer, kinetic theory of gases, ideal gas laws, first and second law of thermodynamics, Carnot cycle, entropy.

Coulomb’s law, electric field and potential, Gauss’s law, capacitors, current electricity, Kirchhoff’s laws, magnetic field due to currents, Biot-Savart, Ampere’s law, force on charges and currents, electromagnetic induction, Faraday’s & Lenz’s laws, self & mutual inductance, alternating current, LCR circuits, transformers.

Rectilinear propagation, reflection, refraction, total internal reflection, prism, lenses, optical instruments, wave nature of light, interference (Young’s double slit), diffraction, polarisation, Brewster’s law.

Photoelectric effect, de Broglie wavelength, Bohr model, X-rays, radioactivity, nuclear fission and fusion, semiconductors, diodes, transistors (basic).

Mole concept, stoichiometry, atomic structure, chemical bonding (VBT, MOT, hybridisation), gaseous & liquid states, thermodynamics, chemical & ionic equilibrium, electrochemistry, chemical kinetics, solid state, solutions, surface chemistry, nuclear chemistry.

Isolation of non-metals, preparation & properties of compounds of B, C, N, O, Si, P, S, halogens; transition elements (3d series), coordination compounds, qualitative analysis, ores & minerals, extractive metallurgy, principles of qualitative analysis.

Basic concepts (hybridisation, isomerism, resonance, hyperconjugation), alkanes, alkenes, alkynes, benzene, alkyl & aryl halides, alcohols, phenols, ethers, aldehydes, ketones, carboxylic acids, amines, carbohydrates, amino acids & peptides, polymers, practical organic chemistry.

Complex numbers, quadratic equations, sequences & series, logarithms, permutations & combinations, binomial theorem, matrices, determinants, probability.

Trigonometric functions, equations, inverse trigonometric functions, properties of triangles.

Two dimensions – straight lines, pair of lines, circles, conic sections. Three dimensions – planes, lines, shortest distance, spheres.

Functions, limits, continuity, differentiability, derivatives, applications (tangents, normals, maxima-minima, rate of change).

Indefinite & definite integrals, applications (area), differential equations.

Addition, scalar & vector products, scalar triple product, applications in geometry.