WBJEE Syllabus 2027: Subject-Wise Topics, Chapter-Wise Weightage and PDF Download

Physical quantities, fundamental and derived units, SI system, dimensional analysis, error analysis, significant figures, precision and accuracy.

Motion in a straight line, motion in a plane, projectile motion, relative velocity, uniform circular motion, scalars and vectors, equations of motion.

Newton’s three laws of motion, inertia, static and kinetic friction, laws of friction, dynamics of uniform circular motion, centripetal force, free body diagrams.

Work done by constant and variable force, work-energy theorem, kinetic and potential energy, conservation of mechanical energy, power, elastic and inelastic collisions.

Centre of mass, linear momentum, impulse, conservation of momentum, rotational motion, moment of inertia, angular momentum, rolling motion without slipping.

Kepler’s laws of planetary motion, universal law of gravitation, gravitational potential energy, escape velocity, orbital velocity, geostationary satellites, variation of g with altitude and depth.

Elasticity, stress and strain, Hooke’s law, Young’s modulus, bulk modulus, shear modulus, fluid pressure, Pascal’s law, Archimedes’ principle, surface tension, capillarity.

Newton’s law of viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow, Reynolds number, Bernoulli’s theorem and applications.

Thermal equilibrium, zeroth law, first law of thermodynamics, internal energy, isothermal and adiabatic processes, second law, Carnot engine and efficiency, entropy concept.

Kinetic interpretation of temperature, gas laws (Boyle’s, Charles’, Gay-Lussac’s), rms speed, mean free path, degrees of freedom, equipartition of energy, specific heat of gases.

Simple harmonic motion (SHM), energy in SHM, resonance, damped oscillations, wave motion, transverse and longitudinal waves, superposition, standing waves, Doppler effect, beats.

Coulomb’s law, electric field and field lines, Gauss’s law, electric potential and potential energy, capacitors (series and parallel), energy stored in a capacitor, dielectrics and polarisation.

Ohm’s law, resistivity and conductivity, Kirchhoff’s laws, Wheatstone bridge, metre bridge, potentiometer, EMF and internal resistance, series and parallel combinations of resistors, electrical power.

Biot-Savart law, Ampere’s circuital law, force on a moving charge in a magnetic field, force on a current-carrying conductor, moving coil galvanometer, torque on a current loop.

Magnetic properties of matter, diamagnetism, paramagnetism, ferromagnetism, Earth’s magnetism, magnetic intensity, hysteresis loop, permanent magnets.

Faraday’s law, Lenz’s law, self and mutual inductance, AC voltage applied to R, L and C circuits, LCR series circuits, resonance, power in AC circuits, transformer.

Displacement current, Maxwell’s equations (conceptual), nature and properties of EM waves, electromagnetic spectrum (radio waves to gamma rays), intensity and energy density.

Laws of reflection and refraction, total internal reflection, lenses and mirrors, lens maker’s equation, magnification, optical fibre, simple and compound microscope, telescope, defects of the human eye.

Huygens’ principle, interference, Young’s double slit experiment (fringe width, intensity), single-slit diffraction, polarisation, Brewster’s law, Malus’s law.

Bohr’s atomic model, hydrogen spectrum (energy levels), photoelectric effect, de Broglie hypothesis, Heisenberg’s uncertainty principle, X-rays, wave-particle duality.

Composition of nucleus, binding energy, mass defect, radioactivity (alpha, beta, gamma decay), half-life, radioactive series, nuclear fission and fusion, chain reaction, nuclear reactor basics.

Energy bands in solids, conductors, insulators and semiconductors, intrinsic and extrinsic semiconductors, PN junction diode, rectifier circuits, Zener diode, transistor (NPN/PNP), logic gates (AND, OR, NOT, NAND, NOR).

Mole concept, Avogadro’s number, stoichiometry, empirical and molecular formula, limiting reagent, percentage composition, equivalent weight and normality.

Bohr’s model, quantum numbers (n, l, m, s), shapes of orbitals, electronic configuration, Aufbau principle, Hund’s rule, Pauli exclusion principle, wave mechanical model basics.

Types of radioactive decay, half-life and decay constant, radioactive disintegration series, artificial transmutation, nuclear reactions, nuclear stability.

Periodic law, classification of elements (s, p, d, f blocks), periodic trends — atomic radius, ionisation energy, electron affinity, electronegativity and oxidation states.

Ionic bond, covalent bond, Lewis structures, VSEPR theory, hybridisation (sp, sp2, sp3, sp3d), molecular orbital theory, hydrogen bonding, coordinate bond, dipole moment.

Gas laws (Boyle’s, Charles’, Gay-Lussac’s), kinetic molecular theory, Van der Waals equation, real gases; liquid properties (vapour pressure, viscosity, surface tension); crystal systems, unit cell, packing efficiency, defects in solids.

Enthalpy of reaction, Hess’s law, Born-Haber cycle, bond energy, entropy, Gibbs free energy, spontaneity of reactions, laws of thermodynamics, heat of combustion and formation.

Law of mass action, Kp, Kc and Kx, Le Chatelier’s principle; rate of reaction, rate law, order and molecularity, Arrhenius equation, activation energy, collision theory, catalysis.

Concentration terms (molarity, molality, mole fraction, normality), Raoult’s law, colligative properties (boiling point elevation, freezing point depression, osmotic pressure), van’t Hoff factor, abnormal molar mass.

Ionisation of weak acids and bases, buffer solutions, solubility product, common ion effect; electrode potential, electrochemical cells, Nernst equation, Faraday’s laws of electrolysis, conductance.

Position of hydrogen in the periodic table, preparation and properties of hydrogen, types of hydrides (ionic, covalent, metallic), water, heavy water, hydrogen peroxide.

Carbon allotropes, nitrogen and its compounds, oxygen and sulphur compounds and oxoacids, halogens (preparation, properties, oxoacids), phosphorus allotropes and compounds.

Alkali metals (Group 1), alkaline earth metals (Group 2), d-block transition metals (properties, oxidation states, colour), extraction and metallurgy of important metals, f-block elements overview.

Werner’s theory, IUPAC nomenclature, geometric and optical isomerism, crystal field theory, spectrochemical series, biological importance of coordination compounds (haemoglobin, chlorophyll).

Industrial manufacture of NH3 (Haber process), H2SO4 (contact process), cement, bleaching powder; adsorption, colloids, emulsions and catalysis; air and water pollution, acid rain, greenhouse effect, ozone depletion.

Hybridisation and shapes, inductive effect, mesomeric effect, resonance, hyperconjugation, reaction intermediates (carbocations, carbanions, free radicals), IUPAC nomenclature, structural and stereoisomerism.

Alkanes (free radical halogenation), alkenes (electrophilic addition, Markovnikov’s rule, ozonolysis), alkynes (acidic character, reactions), aromatic hydrocarbons (benzene structure, EAS reactions, aromaticity).

Nucleophilic substitution (SN1 and SN2 mechanism), elimination reactions (E1, E2), reactivity of halides, preparation and properties of haloarenes, environmental impact of halogenated compounds.

Preparation and chemical properties of alcohols, acidic character of phenols, EAS reactions of the phenol ring, Williamson synthesis, preparation and reactions of ethers, distinction tests.

Aldehydes and ketones (nucleophilic addition, Aldol condensation, Cannizzaro reaction), carboxylic acids and derivatives (esters, amides, anhydrides, acid chlorides), esterification, saponification.

Classification of amines, basic character, preparation methods, Hinsberg test, reactions of primary amines, diazonium salts (preparation, Sandmeyer and coupling reactions, synthetic applications).

Classification of polymers, addition and condensation polymerisation, natural polymers (rubber, starch, cellulose); carbohydrates, proteins, nucleic acids, vitamins; medicines and drugs, dyes, food additives, principles of qualitative organic analysis.

Set operations (union, intersection, complement), Venn diagrams, types of relations (reflexive, symmetric, transitive, equivalence), functions (domain, range, codomain), one-one, onto and bijective functions, composition of functions.

Algebra of complex numbers, modulus and argument, polar form (Euler’s form), De Moivre’s theorem, cube roots of unity, geometric representation in the Argand plane, conjugate and inverse.

Roots of quadratic equations, nature of roots (discriminant), sum and product of roots, formation of equations with given roots, common roots, quadratic inequalities, sign analysis of a quadratic expression.

Fundamental counting principle, permutations (with and without repetition), combinations, number of divisors, circular permutations, selection problems, word arrangement problems.

Binomial theorem for positive integer index, general term and middle term, independent term, properties of binomial coefficients (Pascal’s triangle), binomial series approximation for fractional index.

Arithmetic progression (AP), geometric progression (GP), harmonic progression (HP), relation between AM, GM and HM, infinite GP, sum of special series (squares and cubes), arithmetico-geometric series.

Types of matrices, matrix addition and multiplication, transpose, symmetric and skew-symmetric matrices, determinants, cofactors and minors, inverse of a matrix, Cramer’s rule, system of linear equations.

Trigonometric ratios and identities, compound and multiple angle formulas, sum-to-product and product-to-sum formulas, trigonometric equations and general solutions, inverse trigonometric functions, properties of triangles (sine rule, cosine rule, area formula).

Distance formula, section formula, area of triangle; equations of straight lines (slope, intercept, normal forms), angle between lines, distance from a point to a line; equations of a circle, tangent and normal, radical axis, coaxial circles.

Parabola (standard equations, focus, directrix, tangent and normal), ellipse (eccentricity, major and minor axes, tangent and normal), hyperbola (asymptotes, rectangular hyperbola, tangent and normal).

Limit of a function (algebraic, trigonometric, exponential and logarithmic limits), L’Hopital’s rule, sandwich theorem, continuity and types of discontinuity, differentiability and its relation to continuity.

Rules of differentiation, chain rule, implicit and parametric differentiation, higher-order derivatives, Rolle’s theorem, Mean Value Theorem, increasing and decreasing functions, maxima and minima, tangents and normals, rate of change.

Indefinite integration (standard forms, substitution, partial fractions, integration by parts), definite integration (fundamental theorem, properties), area under curves, area between two curves, reduction formulas.

Order and degree of ODEs, variable separable method, homogeneous differential equations, exact differential equations, linear first-order ODEs (integrating factor method), Bernoulli equation, applications to growth and decay.

Vector algebra, magnitude and direction, scalar (dot) product, vector (cross) product, scalar triple product, vector triple product, direction cosines, application to geometry (area of triangle, parallelogram, coplanarity).

Direction cosines and direction ratios, equations of a line in 3D (vector and Cartesian forms), equation of a plane (intercept form, normal form), angle between line and plane, distance between parallel planes, sphere.

Mean, median, mode, variance, standard deviation, coefficient of variation; classical and axiomatic probability, conditional probability, multiplication theorem, Bayes’ theorem, Bernoulli trials, binomial distribution.

Formulation of a linear programming problem (LPP), graphical method, feasible region, corner point theorem, optimal solution, bounded and unbounded feasible regions, applications to resource allocation.