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

SI units and fundamental quantities, Dimensional analysis, Significant figures, Measurement using vernier callipers and screw gauge, Types of errors (systematic, random, gross), Principle of homogeneity of dimensions

Scalars and vectors, Vector addition and resolution, Position, displacement and velocity, Equations of uniformly accelerated motion, Projectile motion (horizontal and oblique), Relative velocity, Circular motion (uniform and non-uniform)

Newton’s three laws of motion, Inertia, Linear momentum, Impulse, Conservation of momentum, Rocket propulsion, Static and kinetic friction, Angle of friction, Laws of limiting friction, Banking of roads

Centre of mass of a system of particles and rigid body, Torque and angular momentum, Moment of inertia, Parallel and perpendicular axis theorems, Rotational kinetic energy, Conservation of angular momentum, Rolling motion without slipping

Kepler’s laws of planetary motion, Newton’s law of gravitation, Gravitational field and potential, Escape velocity, Orbital velocity, Geostationary satellites, Variation of g with altitude, depth and latitude

Stress, strain and Hooke’s law, Young’s modulus, Bulk modulus and Modulus of rigidity, Surface tension and surface energy, Excess pressure in drops and bubbles, Capillarity, Pascal’s law, Archimedes’ principle, Bernoulli’s theorem

Coefficient of viscosity, Newton’s law of viscous flow, Stokes’ law, Terminal velocity, Streamline and turbulent flow, Reynolds number, Equation of continuity, Applications of Bernoulli’s principle

Zeroth, First and Second laws of thermodynamics, Internal energy, Work done by a gas, Isothermal and adiabatic processes, Isochoric and isobaric processes, Carnot cycle and efficiency, Concept of entropy, Refrigerators and heat pumps

Kinetic theory assumptions, Pressure of an ideal gas, RMS, average and most probable speeds, Degrees of freedom, Equipartition of energy, Mean free path, Van der Waals equation for real gases, Critical temperature

Simple harmonic motion and energy, Spring-mass system, Simple pendulum, Damped and forced oscillations, Resonance, Transverse and longitudinal waves, Superposition principle, Stationary waves, Beats, Doppler effect

Coulomb’s law, Electric field and flux, Gauss’s law and its applications, Electric potential and potential energy, Capacitance, Parallel plate capacitor, Capacitors in series and parallel, Dielectrics and polarisation, Energy stored in a capacitor

Drift velocity and current, Ohm’s law, Resistance, Resistivity and temperature dependence, Kirchhoff’s laws (KCL and KVL), Wheatstone bridge, Metre bridge, Potentiometer, EMF and internal resistance of a cell

Biot-Savart law, Ampere’s circuital law, Magnetic field of straight wire, circular loop and solenoid, Lorentz force, Force between parallel current-carrying wires, Moving coil galvanometer, Conversion to ammeter and voltmeter

Bar magnet and its properties, Magnetic field lines, Earth’s magnetic field, Magnetic moment, Diamagnetic, paramagnetic and ferromagnetic materials, Curie’s law, B-H curve and hysteresis

Faraday’s and Lenz’s laws of electromagnetic induction, Motional EMF, Self and mutual inductance, Energy stored in inductor, AC circuits — R, L, C (series), Resonance in AC circuits, Power factor, Transformers (step-up and step-down)

Maxwell’s equations (qualitative), Displacement current, Electromagnetic spectrum (radio, microwave, infrared, visible, UV, X-rays, gamma rays), Properties and uses of each EM wave type

Laws of reflection, Spherical mirrors and mirror formula, Refraction at plane surface, Snell’s law, Total internal reflection, Prism, Refraction at spherical surfaces, Thin lens formula, Lens maker’s equation, Optical instruments (microscope, telescope, eye)

Huygens’ principle, Young’s double slit experiment, Coherent sources, Constructive and destructive interference, Single-slit diffraction, Polarisation and Malus’s law, Resolving power of optical instruments

Photoelectric effect, Einstein’s photoelectric equation, Work function and threshold frequency, Stopping potential, de Broglie hypothesis and matter waves, Davisson-Germer experiment

Thomson’s plum pudding model, Rutherford’s nuclear model and scattering, Bohr’s model of hydrogen atom, Energy levels and transitions, Rydberg formula, Hydrogen spectrum (Lyman, Balmer, Paschen series)

Nuclear composition, mass number and atomic number, Binding energy and mass defect, Radioactivity (alpha, beta, gamma), Half-life and radioactive decay law, Nuclear fission and fusion, Chain reaction, Nuclear reactor basics

Energy bands in solids — conductors, semiconductors and insulators, Intrinsic and extrinsic semiconductors, p-n junction diode, Rectification (half-wave and full-wave), Zener diode, NPN and PNP transistors, Transistor as amplifier and switch, Logic gates (AND, OR, NOT, NAND, NOR)

Dalton’s atomic theory, Atomic mass and molecular mass, Mole concept, Avogadro’s number, Empirical and molecular formula, Stoichiometry, Limiting reagent, Percentage composition

Bohr’s model, de Broglie’s hypothesis, Heisenberg’s uncertainty principle, Quantum numbers (n, l, m, s), Shapes of s, p, d orbitals, Aufbau principle, Pauli exclusion principle, Hund’s rule, Electronic configuration of elements

Radioactive decay types (alpha, beta, gamma), Half-life and decay law, Radioactive equilibrium, Artificial transmutation, Nuclear binding energy, Fission and fusion reactions, Radioactive isotopes and their uses

Boyle’s law, Charles’s law, Gay-Lussac’s law, Ideal gas equation, Dalton’s law of partial pressures, Graham’s law of diffusion and effusion, Kinetic theory of gases, Van der Waals equation, Liquefaction of gases

System and surroundings, Internal energy and enthalpy, Hess’s law, Bond dissociation energies, Entropy and the second law, Gibbs free energy, Spontaneity of reactions, Standard electrode potentials

Law of mass action, Equilibrium constants Kc and Kp, Relationship between Kc and Kp, Le Chatelier’s principle, Factors affecting equilibrium, Degree of dissociation, Heterogeneous equilibria

Ionic equilibria, Acids and bases (Arrhenius, Bronsted-Lowry, Lewis), pH and pOH, Buffer solutions and Henderson-Hasselbalch equation, Solubility product (Ksp), Common ion effect, Oxidation states, Balancing redox reactions, Electrochemical cells, Nernst equation

Rate of reaction, Rate law and order (zero, first, second), Integrated rate equations, Half-life of reactions, Arrhenius equation, Activation energy, Collision theory, Effect of temperature and catalyst on rate

Modern periodic law, Classification into s, p, d, f-blocks, Periodic trends (atomic radius, ionisation energy, electron affinity, electronegativity), Effective nuclear charge, Anomalous behaviour of second-period elements

Ionic, covalent and metallic bonding, VSEPR theory, Hybridisation (sp, sp2, sp3, sp3d, sp3d2), Molecular orbital theory for diatomic molecules, Hydrogen bonding (intra and inter molecular), Dipole moment, Resonance structures, Polarity of molecules

Werner’s theory of coordination compounds, Ligands and coordination number, IUPAC nomenclature of complexes, Structural and stereo isomerism, Valence bond theory, Crystal field theory (basics), Stability of complexes, Applications in medicines, dyes and catalysis

Types of solids (amorphous and crystalline), Crystal lattice and unit cell, Simple cubic, BCC and FCC lattices, Packing efficiency, Coordination number, Point defects in crystals (Schottky and Frenkel)

Isotopes of hydrogen (protium, deuterium, tritium), Ortho and para hydrogen, Types of hydrides (ionic, covalent, metallic), Properties of water, Heavy water, Hydrogen peroxide (preparation, structure and properties)

Allotropes of carbon, Nitrogen and its oxides, Phosphorus and its compounds, Oxygen and sulphur compounds (oxides, oxyacids), Halogens and their properties, Interhalogen compounds, Noble gases and clathrate compounds

Occurrence and extraction methods (pyrometallurgy, hydrometallurgy, electrometallurgy), Alkali metals (Group 1) and their key compounds, Alkaline earth metals (Group 2) compounds, Transition metals — oxidation states and properties, Lanthanides and actinides (general characteristics)

Hybridisation and shape of organic molecules, Homologous series, IUPAC nomenclature, Structural and stereo isomerism (geometric and optical), Electronic effects (inductive, resonance, hyperconjugation), Reaction intermediates — carbocation, carbanion and free radical

Alkanes: preparation, combustion, halogenation and cracking; Alkenes: electrophilic addition, Markovnikov’s rule, hydration, ozonolysis; Alkynes: acidic character, hydrohalogenation, hydration, polymerisation

IUPAC naming, Physical properties, SN1 and SN2 mechanisms, Stereochemistry of substitution, E1 and E2 elimination, Nucleophilic aromatic substitution, Polyhalogen compounds (chloroform, iodoform, CCl4, DDT, freons)

Alcohols: classification, preparation from alkenes and carbonyl compounds, reactions (esterification, dehydration, oxidation), Lucas test, iodoform test; Glycols and glycerol; Ethers: Williamson synthesis, cleavage with HI, epoxides

Preparation of aldehydes and ketones, Nucleophilic addition reactions, Aldol condensation, Cannizzaro reaction, Clemmensen and Wolff-Kishner reductions, Tollens’ and Fehling’s tests, Reactions with HCN and NH3 derivatives

Acidic strength and structure, Preparation methods, Esterification and acyl chloride formation, Hofmann’s bromamide reaction, Dicarboxylic acids, Unsaturated acids, Hydroxy acids (lactic, tartaric, citric acid)

Classification (primary, secondary, tertiary), Basicity and comparison with ammonia, Preparation methods (reductive amination, Gabriel synthesis), Reactions (acylation, reaction with nitrous acid), Distinction between amine types

Benzene structure and aromaticity, Electrophilic aromatic substitution (halogenation, nitration, sulfonation, Friedel-Crafts alkylation and acylation), Directive effects of substituents, Key benzene derivatives (toluene, phenol, aniline, benzoic acid, benzaldehyde)

Carbohydrates (glucose, fructose, sucrose, starch, cellulose), Proteins (amino acids, peptide bond, protein structure), Nucleic acids (DNA and RNA), Natural and synthetic polymers (nylon, polyethylene, rubber), Air and water pollution, Greenhouse effect, Ozone depletion, Basic principles of qualitative analysis

nth term and sum of AP, GP and HP, Infinite GP sum, AM, GM and HM and their inequalities, Arithmetico-Geometric series, Sum of special series (Σn, Σn², Σn³)

Definition and laws of logarithms, Common (base 10) and natural (base e) logarithm, Change of base formula, Logarithmic equations and inequalities

Algebra of complex numbers, Modulus and argument, Polar and exponential form, Argand plane representation, De Moivre’s theorem, Cube roots and nth roots of unity, Locus problems in the complex plane

Discriminant and nature of roots, Sum and product of roots, Symmetric functions of roots, Formation of quadratic equations, Common roots between two equations, Equations reducible to quadratic form, Quadratic inequalities

Fundamental counting principle, Factorial notation, Permutations with and without repetition, Combination theorems, Circular permutations, Division and distribution of objects into groups

Statement of the principle of mathematical induction, Proof by weak induction, Applications to summation formulae, divisibility results and inequalities

Binomial theorem for positive integral index, General term (Tr+1), Middle term, Numerically greatest term, Properties of binomial coefficients, Binomial theorem for rational index (basic)

Types of matrices, Matrix operations (addition, subtraction, multiplication), Transpose, Symmetric and skew-symmetric matrices, Determinant evaluation, Properties of determinants, Cofactors and adjoint, Inverse matrix, Solution of system of linear equations by Cramer’s rule and matrix method

Set operations (union, intersection, complement, difference), De Morgan’s laws, Venn diagrams, Cartesian product, Types of relations (equivalence, partial order), Types of functions (injective, surjective, bijective), Composition and inverse of functions

Measures of central tendency, Variance and standard deviation, Mean deviation, Classical probability, Addition and multiplication theorems, Conditional probability, Bayes’ theorem, Random variables, Binomial distribution

Trigonometric ratios and identities, Compound angle formulae, Multiple and sub-multiple angles, Sum-to-product and product-to-sum formulae, Periodicity of trig functions, General solution of trig equations, Range and maximum/minimum of trig expressions

Domains and ranges of inverse trig functions, Principal value branch, Key identities and properties, Simplification of inverse trig expressions, Equations involving inverse trig functions

Sine rule, Cosine rule, Projection formula, Tangent rule, Area of a triangle, Circumradius (R), Inradius (r), Escribed circles, Solution of triangles (given different combinations of sides and angles)

Slope, intercept forms and normal form of a line, Distance between parallel lines, Distance from a point to a line, Angle between two lines, Condition for concurrence, Locus problems, Pair of straight lines

Standard and general equation of a circle, Centre and radius, Equation of tangent and normal, Chord of contact, Common chord of two circles, Orthogonal circles, Power of a point, Radical axis

Parabola: standard forms, focus, directrix, tangent and normal; Ellipse: standard equation, eccentricity, foci, major and minor axes, tangent condition; Hyperbola: equation, asymptotes, rectangular hyperbola, reflection properties of conics

Distance between two points, Direction cosines and direction ratios, Equation of a line in space (symmetric and vector form), Angle between two lines, Equation of a plane (intercept and normal form), Distance from a point to a plane, Angle between line and plane

Limits (standard limits, L’Hôpital’s rule), Continuity and differentiability, Derivatives of standard, composite, implicit and parametric functions, Higher-order derivatives, Rolle’s theorem and Mean Value Theorem, Tangent and normal to a curve, Maxima and minima, Increasing and decreasing functions, Curve sketching

Standard integrals, Integration by substitution, Integration by parts, Partial fraction decomposition, Definite integrals and their properties (symmetry, periodicity), Definite integral as limit of sum, Area enclosed by curves, Reduction formulae for standard forms

Order and degree, Formation of differential equations, Variable separable method, Homogeneous differential equations, Linear first-order ODE and integrating factor method, Applications to growth and decay problems

Types of vectors, Addition and scalar multiplication, Dot product (scalar product), Cross product (vector product), Scalar triple product, Coplanarity and collinearity, Applications to geometry (area of triangle, volume of parallelepiped)

Formulation of Linear Programming Problems (LPP), Feasible region and constraints, Graphical method of solution, Corner point theorem, Optimal solution — maximisation and minimisation, Applications to resource allocation problems