WBJEE 2025 Syllabus: Check Syllabus for Physics, Chemistry, Mathematics

Algebra

A.P., G.P., H.P.: Definitions; General term; Summation of series

Logarithms: Definition; Properties; Change of base

Complex Numbers: Definition; Properties; Complex conjugate; Triangle inequality; De Moivre's theorem

Polynomial equation: nth degree equation; Quadratic Equations with real coefficients

Permutation and Combination: Basic properties; Problems involving permutations and combinations

Principle of Mathematical Induction: Sum of squares and cubes; Divisibility properties

Binomial theorem: Statement; General term; Properties of binomial coefficients

Matrices: Concepts; Operations; Determinants; Inverse of a matrix; Solutions of system of linear equations

Sets, Relations and Mappings: Idea of sets; Venn diagram; Equivalence relation; Mappings

Statistics and Probability

Measure of dispersion; Mean, variance, and standard deviation; Probability rules; Binomial distribution

Trigonometry

Trigonometric functions; Addition and subtraction formulae; General solution of trigonometric equations

Properties of triangles; Inverse trigonometric functions and their properties

Coordinate Geometry of Two Dimensions

Distance formula; Section formula; Condition of collinearity; Equation of lines; Angle bisector

Equation of a circle; Condition that a general equation may represent a circle; Parametric equation of a circle

Definition of conic section; Equation of Parabola, Ellipse, and Hyperbola in standard form

Coordinate Geometry of Three Dimensions

Direction cosines and direction ratios; Equation of a straight line; Equation of a plane; Distance formula

Calculus

Differential calculus: Functions; Limit, continuity, derivative; Rolle's Theorem; L'Hospital's rule

Integral calculus: Indefinite integral; Integration by parts and substitution; Fundamental theorem of integral calculus

Differential Equations: Formation; Solution methods

Application of Calculus: Tangents and normals; Maxima and minima; Motion in a straight line; Area calculation

Vectors

Addition of vectors; Scalar multiplication; Dot and cross products; Scalar triple product

Physical World, Measurements, Units & Dimensions

Units & Dimensions of physical quantities, dimensional analysis & its applications, error in measurements, significant figures

Kinematics

Scalars & vectors, representation of vectors in 3D, dot & cross product & their applications, equations of motion with uniform acceleration

Laws of Motion

Newton’s laws of motion, conservation of linear momentum, elastic & inelastic collisions, centripetal force, projectile motion & uniform circular motion

Work, Power, Energy

Work-energy theorem, power, energy, conservation of mechanical energy, conservative and nonconservative forces

Motion of Centre of Mass, Connected Systems, Friction

Centre of mass of two-particle system, torque, moments of inertia, conservation of angular momentum, friction and laws of friction

Gravitation

Kepler’s laws, universal law of gravitation, acceleration due to gravity, gravitational potential & PE, escape velocity, orbital velocity of satellites

Bulk Properties of Matter

Elasticity, Young’s modulus, pressure due to a fluid column, surface tension, viscosity, Bernoulli’s theorem

Heat & Thermal Physics

Heat & temperature, thermal expansion, ideal gas laws, specific heat capacity, heat transfer, Newton's law of cooling

Thermodynamics

Thermal equilibrium, 1st and 2nd laws of thermodynamics, isothermal & adiabatic processes, reversible & irreversible processes

Kinetic Theory of Gases

Equation of state of a perfect gas, assumptions in Kinetic theory of gases, law of equipartition of energy, mean free path, Avogadro number

Oscillations & Waves

Simple harmonic motion, energy in S.H.M., wave motion, longitudinal & transverse waves, sound waves, Doppler effect

Electrostatics

Coulomb's law, electric field & potential, Gauss' theorem, capacitors & capacitance, energy stored in a capacitor

Current Electricity

Electric current, Ohm's law, electrical resistance, electrical energy & power, Kirchhoff’s laws, Wheatstone bridge, meter bridge

Magnetic Effect of Current

Oersted's experiment, Biot-Savart law, Ampere's law, force on a moving charge, force on a current-carrying conductor, moving coil galvanometer

Magnetics

Magnetic dipole moment, magnetic field intensity, torque on a magnetic dipole, Earth's magnetic field, para-, dia- & ferro-magnetic substances

Electromagnetic Induction & Alternating Current

Faraday's laws, Lenz's Law, alternating currents, reactance and impedance, LCR series circuit, power in AC circuits

Electromagnetic Waves

Characteristics of electromagnetic waves, electromagnetic spectrum, applications of different parts of the spectrum

Optics I (Ray Optics)

Reflection and refraction of light, lenses, optical instruments, human eye, correction of eye defects, microscopes & telescopes

Optics II (Wave Optics)

Scattering of light, wave front & Huygens' principle, Young's double slit experiment, Fraunhofer diffraction, photoelectric effect, wave-particle dualism

Atomic Physics

Rutherford's nuclear atom model, Bohr model of hydrogen atom, energy levels, hydrogen spectrum, x-rays

Nuclear Physics

Radioactivity, radioactive decay law, mass-energy relation, nuclear fission & fusion

Solid State Electronics

Energy bands in solids, semiconductor diode, LED, photodiode, solar cell, Zener diode, junction transistor, logic gates

Atoms, Molecules and Chemical Arithmetic

Dalton’s atomic theory, Avogadro’s Hypothesis, Mole concept, Balanced chemical equations, Concentration units (molarity, molality, normality)

Atomic Structure

Rutherford’s model, Bohr’s model, Quantum numbers, Electron configurations, Dual nature of matter

Radioactivity and Nuclear Chemistry

Radioactive decay, Half-life, Radioisotopes, Nuclear fission and fusion

The Periodic Table and Chemical Families

Modern periodic table, Periodic trends, Properties of elements (atomic radii, ionization energy, electronegativity)

Chemical Bonding and Molecular Structure

Octet rule, Covalent bonds, Hybridization, Molecular shapes, Resonance, Hydrogen bonding

Coordination Compounds

Werner's theory, Coordination number, IUPAC nomenclature

Solid State

Types of solids, Unit cell, Packing in solids, Band theory of metals

Liquid State

Vapour pressure, Viscosity, Surface tension

Gaseous State

Boyle’s Law, Charles Law, Ideal gas equation, Dalton's Law, Real gases

Chemical Energetics and Chemical Dynamics

First law of thermodynamics, Enthalpy change, Hess’s Law, Equilibrium constants, Le Chatelier's Principle, Reaction rates

Physical Chemistry of Solutions

Colloidal solutions, Raoult’s Law, Colligative properties

Ionic and Redox Equilibria

Ionization of weak electrolytes, pH scale, Buffer solutions, Redox reactions, Nernst equation

Hydrogen

Preparation, properties, uses of hydrogen, Hydrides, Heavy water, Hydrogen peroxide

Chemistry of Non-Metallic Elements and their Compounds

Allotropes of carbon, Preparation and properties of NH3, HNO3, H2SO4, Halogens

Chemistry of Metals

Metallurgy principles, Properties and reactions of typical metals (Na, Ca, Al, Fe, Cu, Zn), Electroplating

Chemistry in Industry

Production and uses of H2SO4, NH3, HNO3, Sodium bicarbonate, Polymers

Surface Chemistry

Adsorption, Catalysis, Colloidal state, Emulsions

Environmental Chemistry

Air, water, soil pollution, Ozone layer, Greenhouse effect, Global warming

Chemistry of Carbon Compounds

Hybridization, Isomerism, IUPAC nomenclature, Stability of carbocations and carbanions, Electrophiles and nucleophiles

Compounds

Preparation and reactions of alkanes, alkenes, alkynes, haloalkanes, alcohols, ethers, aldehydes, ketones, carboxylic acids, amines, aromatic compounds

Application Oriented Chemistry

Ingredients and effects of antiseptics, analgesics, antacids, Vitamin-C

Introduction to Biomolecules

Carbohydrates, Amino acids, Peptide bond, ADP and ATP, Nucleic acids

Principles of Qualitative Analysis

Detection of acid and basic radicals, Functional groups in organic compounds

Mode

Pen and Paper Based (Offline)

Duration

4 Hours

Total Number of Questions

155 (Mathematics- 75, Physics- 40, Chemistry- 40)

Total Marks

200

Medium

English and Bengali

Sections

Physics, Chemistry, and Mathematics

Marking Scheme

Category 1

1 mark is given for each correct answer

Category 2 & 3

2 marks are given for each correct answer

Negative Marking

Category 1

¼ mark will be deducted for each incorrect response.

Category 2

½ mark will be deducted for each incorrect answer.

Category 3

There is no negative marking.