WBJEE

Algebra

Trigonometry

Coordinate Geometry of Two Dimensions

Coordinate Geometry of Three Dimensions

Direction cosines and ratios, equation of a straight line and plane in space, distance of a point from a plane, angle between line and plane.

Calculus

Vectors

Addition, scalar and vector products, scalar triple product, application to geometry and mechanics.

Physical World, Measurements, Units and Dimensions

SI units, dimensional analysis, errors in measurement, significant figures.

Kinematics

Motion in one and two dimensions, scalars and vectors, projectile motion, relative velocity.

Laws of Motion

Newton's laws, conservation of momentum, friction, equilibrium of concurrent forces.

Motion of Centre of Mass, Connected Systems, Friction

Centre of mass, system of particles, pulley and connected-body problems, friction in dynamics.

Gravitation

Newton's law of gravitation, gravitational potential energy, Kepler's laws, satellite motion, escape velocity.

Bulk Properties of Matter

Elasticity, stress and strain, Hooke's law, surface tension, capillarity.

Viscosity

Coefficient of viscosity, Stokes' law, terminal velocity, Poiseuille's equation, Reynolds number.

Thermodynamics

Zeroth, first and second laws, isothermal and adiabatic processes, Carnot engine, entropy.

Kinetic Theory of Gases

Postulates, pressure of an ideal gas, RMS speed, mean free path, equipartition of energy.

Oscillations and Waves

Simple harmonic motion, energy in SHM, free, damped and forced oscillations, transverse and longitudinal waves, beats, Doppler effect.

Electrostatics

Coulomb's law, electric field and potential, Gauss's law, capacitors, dielectrics.

Current Electricity

Ohm's law, resistivity, Kirchhoff's laws, Wheatstone bridge, potentiometer, drift velocity.

Magnetic Effect of Current

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

Magnetics

Bar magnets, magnetic field of Earth, dia-, para- and ferromagnetism, hysteresis.

Electromagnetic Induction and Alternating Current

Faraday's and Lenz's laws, self and mutual inductance, AC generator, LCR circuits, resonance, transformers.

Electromagnetic Waves

Displacement current, Maxwell's equations qualitatively, EM spectrum and applications.

Optics I (Ray Optics)

Reflection and refraction, lens and mirror formulae, total internal reflection, optical instruments.

Optics II (Wave Optics)

Huygens' principle, interference, Young's double-slit, diffraction, polarisation.

Particle Nature of Light and Wave-Particle Dualism

Photoelectric effect, Einstein's equation, de Broglie wavelength, Davisson-Germer experiment.

Atomic Physics

Bohr model of hydrogen atom, hydrogen spectrum, X-ray production and spectra.

Nuclear Physics

Composition of nucleus, mass defect, binding energy, radioactivity, nuclear fission and fusion.

Solid State Electronics

Energy bands, intrinsic and extrinsic semiconductors, p-n junction, diodes, transistors, logic gates.

Atoms, Molecules and Chemical Arithmetic

Mole concept, stoichiometry, equivalent weight, empirical and molecular formulae.

Atomic Structure

Bohr model, dual nature of matter, quantum numbers, orbitals, electronic configurations.

Radioactivity and Nuclear Chemistry

Alpha, beta, gamma decay, half-life, radioactive series, nuclear reactions and applications.

The Periodic Table and Chemical Families

Long-form periodic table, periodic trends in atomic radii, ionisation energy, electron affinity, electronegativity.

Chemical Bonding and Molecular Structure

Ionic, covalent and coordinate bonds, VSEPR, hybridisation, MO theory of diatomics, hydrogen bonding.

Coordination Compounds

Werner's theory, IUPAC nomenclature, isomerism, valence bond and crystal field theory.

Solid State

Classification of solids, unit cells, packing efficiency, density of cubic crystals, defects, semiconductors.

Liquid State

Vapour pressure, surface tension, viscosity and their dependence on temperature.

Gaseous State

Gas laws, ideal gas equation, kinetic theory, real gases and van der Waals equation, liquefaction.

Chemical Energetics and Chemical Dynamics

Thermodynamics laws, enthalpy, entropy, free energy, chemical equilibrium, Le Chatelier's principle, kinetics.

Physical Chemistry of Solutions

Concentration units, Raoult's law, colligative properties, abnormal molar mass, van't Hoff factor.

Ionic and Redox Equilibria

Acid-base equilibria, pH, buffer solutions, solubility product, oxidation-reduction, electrochemical cells.

Hydrogen

Position in periodic table, isotopes, preparation and properties of hydrogen and water, hydrogen peroxide, heavy water.

Chemistry of Non-Metallic Elements and their Compounds

Group 14-18 non-metals: occurrence, preparation and properties; oxoacids of nitrogen, phosphorus, sulphur, halogens.

Chemistry of Metals

s-, p-, d- and f-block metals; principles of metallurgy, transition and inner-transition element chemistry.

Chemistry in Industry

Large-scale manufacture of important chemicals — H2SO4, ammonia, HNO3, cement, glass.

Polymers

Classification, methods of polymerisation, important natural and synthetic polymers, biodegradable polymers.

Surface Chemistry

Adsorption, catalysis, colloids, emulsions and gels, Tyndall effect, Brownian motion.

Environmental Chemistry

Air, water and soil pollution; greenhouse effect; ozone depletion; green chemistry.

Chemistry of Carbon Compounds

General principles of organic chemistry: bonding, hybridisation, isomerism, electronic effects, reactive intermediates.

General Organic Chemistry — Hydrocarbons

Alkanes, alkenes and alkynes — preparation, properties and reaction mechanisms; aromaticity.

Haloalkanes and Haloarenes

Nomenclature, preparation, properties, SN1/SN2 and elimination reactions, polyhalogen compounds.

Alcohols, Phenols and Ethers

Preparation, physical and chemical properties of alcohols, phenols and ethers; commercial importance.

Aromatic Compounds

Benzene, electrophilic aromatic substitution, directing effects, important aromatic compounds.

Aldehydes, Ketones and Carboxylic Acids

Preparation, nucleophilic addition, oxidation, reduction and acidity; common reactions and uses.

Organic Compounds Containing Nitrogen

Amines, nitro compounds, diazonium salts, cyanides, isocyanides — preparation and reactions.

Application Oriented Chemistry

Drugs and medicines, dyes, soaps and detergents, food additives.

Introduction to Bio-Molecules

Carbohydrates, proteins, nucleic acids, vitamins and hormones — structure and biological function.

Principles of Qualitative Analysis

Detection of cations and anions in aqueous solutions, group reagents, basic radicals.