JEE Main Syllabus (Detailed)

Units of measurement, system of units, SI units, fundamental and derived units, least count, significant figures, errors in measurement, dimensions of physical quantities, dimensional analysis and its applications.

Frame of reference, motion in a straight line, speed and velocity, uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity-time and position-time graphs, relations for uniformly accelerated motion, relative velocity. Motion in a plane, projectile motion, uniform circular motion.

Force and inertia, Newton’s laws of motion, momentum, impulse, law of conservation of linear momentum and its applications, equilibrium of concurrent forces, static and kinetic friction, laws of friction, rolling friction, dynamics of uniform circular motion, centripetal force and its applications.

Work done by a constant force and a variable force, kinetic and potential energies, work-energy theorem, power, potential energy of a spring, conservation of mechanical energy, conservative and non-conservative forces, motion in a vertical circle, collisions (elastic and inelastic).

Centre of mass, motion of centre of mass, moment of a force, torque, angular momentum, conservation of angular momentum, moment of inertia, radius of gyration, values of moments of inertia for simple geometrical objects, parallel and perpendicular axis theorems, rigid body rotation, equations of rotational motion.

Universal law of gravitation, acceleration due to gravity and its variation, Kepler’s laws, gravitational potential energy, gravitational potential, escape velocity, orbital velocity of a satellite, geostationary satellites.

Elastic behaviour, stress-strain relationship, Hooke’s law, Young’s modulus, bulk modulus, modulus of rigidity, pressure due to a fluid column, Pascal’s law, viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow, Reynolds number, Bernoulli’s principle and its applications, surface energy and surface tension, capillary rise.

Thermal equilibrium, zeroth law, concept of temperature, heat, work and internal energy, first law of thermodynamics, isothermal and adiabatic processes, second law of thermodynamics, reversible and irreversible processes, Carnot engine and its efficiency.

Equation of state of a perfect gas, work done on compressing a gas, kinetic theory of gases – assumptions, concept of pressure, kinetic interpretation of temperature, RMS speed of gas molecules, degrees of freedom, law of equipartition of energy, mean free path, Avogadro’s number.

Periodic motion, simple harmonic motion and its equation, phase, oscillations of a spring, simple pendulum, free, forced and damped oscillations, resonance, wave motion, longitudinal and transverse waves, speed of a wave, displacement relation for a progressive wave, principle of superposition, reflection of waves, standing waves, beats, Doppler effect.

Electric charges, conservation of charge, Coulomb’s law, electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole, electric flux, Gauss’s law and its applications, electric potential, potential difference, equipotential surfaces, electrical potential energy, conductors and insulators, capacitors and capacitance, combination of capacitors, energy stored in a capacitor.

Electric current, drift velocity, mobility, Ohm’s law, electrical resistance, V-I characteristics, electrical energy and power, electrical resistivity and conductivity, series and parallel combinations of resistors, temperature dependence of resistance, internal resistance, Kirchhoff’s laws, Wheatstone bridge, potentiometer.

Biot-Savart law, Ampere’s law, force on a moving charge and on a current-carrying conductor, force between two parallel currents, torque experienced by a current loop, moving coil galvanometer, current sensitivity, conversion to ammeter and voltmeter, bar magnet, magnetic field lines, earth’s magnetic field, magnetic elements, para, dia and ferromagnetic substances, electromagnets and permanent magnets.

Electromagnetic induction, Faraday’s law, induced emf and current, Lenz’s law, eddy currents, self and mutual inductance, alternating currents, peak and RMS value, reactance and impedance, LCR series circuit, resonance, power in AC circuits, wattless current, AC generator and transformer.

Displacement current, electromagnetic waves and their characteristics, transverse nature, electromagnetic spectrum (radio, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) and their uses.

Reflection and refraction of light, mirror formula, total internal reflection, lens formula, magnification, power of a lens, combination of thin lenses, refraction at spherical surfaces, microscope and astronomical telescope, wave optics – wavefront, Huygens principle, interference, Young’s double slit experiment, diffraction due to a single slit, polarisation.

Dual nature of radiation, photoelectric effect, Hertz and Lenard’s observations, Einstein’s photoelectric equation, particle nature of light, matter waves, de Broglie relation.

Alpha-particle scattering experiment, Rutherford’s model, Bohr model, energy levels, hydrogen spectrum, composition and size of nucleus, atomic masses, isotopes, isobars, isotones, radioactivity, alpha, beta and gamma particles, radioactive decay law, mass-energy relation, mass defect, binding energy, nuclear fission and fusion.

Semiconductors, semiconductor diode, I-V characteristics in forward and reverse bias, diode as a rectifier, LED, photodiode, solar cell, Zener diode, Zener diode as a voltage regulator, junction transistor, transistor action, characteristics of a transistor, transistor as an amplifier and oscillator, logic gates (OR, AND, NOT, NAND, NOR).

Familiarity with basic measuring instruments (vernier callipers, screw gauge, etc.), experiments on Young’s modulus, surface tension, viscosity, specific heat, focal length of lenses/mirrors, resistance, resistivity, potentiometer, galvanometer, semiconductor devices, etc. (as per official NTA list).

• Some Basic Concepts in Chemistry: Matter, laws of chemical combination, mole concept, stoichiometry, percentage composition, empirical & molecular formulae.
• Atomic Structure: Bohr model, quantum numbers, orbitals, electronic configuration, de Broglie, Heisenberg uncertainty.
• Chemical Bonding & Molecular Structure: Ionic & covalent bonding, VSEPR, hybridisation, molecular orbital theory, bond parameters, hydrogen bonding.
• Chemical Thermodynamics: First & second law, enthalpy, entropy, Gibbs free energy, Hess’s law, spontaneity.
• Solutions: Concentration terms, Raoult’s law, colligative properties, abnormal molar mass.
• Equilibrium: Chemical & ionic equilibrium, Le Chatelier’s principle, acids-bases, buffer solutions, solubility product.
• Redox Reactions & Electrochemistry: Oxidation number, balancing, electrochemical cells, Nernst equation, conductance, Kohlrausch’s law.
• Chemical Kinetics: Rate of reaction, order, molecularity, rate law, Arrhenius equation, collision theory.

• Classification of Elements & Periodicity: Modern periodic law, periodic trends.
• p-Block Elements: Group 13–18 elements, trends, important compounds.
• d- and f-Block Elements: Transition elements, lanthanoids, actinoids, properties, alloys, coordination compounds introduction.
• Coordination Compounds: Werner’s theory, ligands, nomenclature, isomerism, bonding (VBT, CFT), colour, magnetic properties, importance.
• General Principles of Isolation of Elements: Occurrence, concentration, extraction principles (brief).

• Some Basic Principles & Techniques: Hybridisation, inductive & resonance effects, isomerism, nomenclature, purification methods, qualitative & quantitative analysis.
• Hydrocarbons: Alkanes, alkenes, alkynes, aromatic hydrocarbons, reactions and mechanisms.
• Haloalkanes & Haloarenes: Nomenclature, properties, substitution reactions, uses.
• Alcohols, Phenols & Ethers: Preparation, properties, reactions.
• Aldehydes, Ketones & Carboxylic Acids: Preparation, properties, important reactions, uses.
• Organic Compounds Containing Nitrogen: Amines, cyanides, isocyanides, diazonium salts.
• Biomolecules: Carbohydrates, proteins, vitamins, nucleic acids.
• Polymers & Chemistry in Everyday Life: Classification, important polymers, chemicals in medicines, food, cleansing agents.

Sets and their representation, union, intersection, complement, power set, relations, types of relations, equivalence relations, functions (one-one, onto), composition of functions.

Complex numbers as ordered pairs, Argand diagram, modulus and argument, algebra of complex numbers, square root, quadratic equations in real and complex number system, relation between roots and coefficients.

Types of matrices, algebra of matrices, determinants, properties, adjoint and inverse, solution of system of linear equations, area of triangle using determinants.

Fundamental principle of counting, permutation as arrangement, combination as selection, simple applications.

Binomial theorem for positive integral index, general term, middle term, simple applications.

Arithmetic and geometric progressions, insertion of means, relation between A.M. and G.M., sum to n terms of special series.

Real valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions, limits, continuity, differentiability, derivatives of sum, difference, product and quotient, derivatives of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions, applications of derivatives (rate of change, increasing/decreasing, tangents and normals, maxima and minima).

Integral as anti-derivative, fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions, integration by substitution, by parts and partial fractions, definite integrals, fundamental theorem of calculus, evaluation of definite integrals, area under curves.

Order and degree, formation of differential equations, solution of differential equations by separation of variables, homogeneous and linear differential equations.

Cartesian system, distance formula, section formula, locus, slope of a line, various forms of equations of a line, intersection, distance of a point from a line, circle (standard and general form), family of circles, parabola, ellipse, hyperbola (standard equations and simple properties).

Coordinates of a point in space, distance between two points, section formula, direction cosines and ratios, equation of a line and a plane, angle between lines and planes, coplanar lines, shortest distance.

Vectors and scalars, addition of vectors, components, scalar and vector products, scalar triple product.

Measures of dispersion, mean deviation, variance and standard deviation, frequency distributions, probability of an event, addition and multiplication theorems, Bayes’ theorem, probability distribution of a random variate, binomial distribution.

Trigonometric identities, trigonometric equations, inverse trigonometric functions, heights and distances.