JEE Advanced Syllabus 2025 Out

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Multiple Choice Questions (MCQs)

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Numerical Answer Type (NAT) Questions

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Topics

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General Topics

Concept of atoms and molecules, Dalton’s atomic theory, Mole concept, Chemical formulae, Balanced chemical equations, Calculations involving oxidation-reduction, neutralization, and displacement reactions, Concentration in terms of mole fraction, molarity, molality and normality

Gaseous and Liquid States

Absolute scale of temperature, ideal gas equation, Deviation from ideality, van der Waals equation, Kinetic theory of gases, Law of partial pressures, Vapour pressure, Diffusion of gases

Atomic Structure and Chemical Bonding

Bohr model, spectrum of hydrogen atom, quantum numbers, Wave-particle duality, de Broglie hypothesis, Uncertainty principle, Quantum mechanical picture of hydrogen atom, shapes of orbitals, Electronic configurations, Aufbau principle, Pauli’s exclusion principle, Hund’s rule, Orbital overlap and covalent bond, Hybridization, Orbital energy diagrams, Hydrogen bond, Polarity in molecules, dipole moment, VSEPR model and shapes of molecules

Energetics

First law of thermodynamics, Internal energy, work and heat, pressure-volume work, Enthalpy, Hess’s law, Heat of reaction, fusion and vapourization, Second law of thermodynamics, Entropy, Free energy, Criterion of spontaneity

Chemical Equilibrium

Law of mass action, Equilibrium constant, Le Chatelier’s principle, Significance of ΔG and ΔG° in chemical equilibrium, Solubility product, common ion effect, pH and buffer solutions, Acids and bases, Hydrolysis of salts

Electrochemistry

Electrochemical cells and cell reactions, Standard electrode potentials, Nernst equation, Electrochemical series, emf of galvanic cells, Faraday’s laws of electrolysis, Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law, Concentration cells

Chemical Kinetics

Rates of chemical reactions, Order of reactions, Rate constant, First order reactions, Temperature dependence of rate constant (Arrhenius equation)

Solid State

Classification of solids, crystalline state, seven crystal systems, close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices, Nearest neighbours, ionic radii, simple ionic compounds, point defects

Solutions

Raoult’s law, Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point

Surface Chemistry

Elementary concepts of adsorption, Colloids: types, methods of preparation and general properties, Elementary ideas of emulsions, surfactants and micelles

Nuclear Chemistry

Radioactivity, isotopes and isobars, Properties of alpha, Beta and Gamma rays, Kinetics of radioactive decay, carbon dating, Stability of nuclei, Fission and fusion reactions

Topic

Subtopic

Non-Metals

Boron, silicon, nitrogen, phosphorus, oxygen, sulfur, halogens, allotropes of carbon (diamond and graphite), phosphorus, sulfur

Compounds

Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides, and sulfates of sodium, potassium, magnesium, and calcium; Boron compounds (diborane, boric acid, borax); Aluminum compounds (alumina, aluminum chloride, alums); Carbon compounds (oxides, carbonic acid); Silicon compounds (silicones, silicates, silicon carbide); Nitrogen compounds (oxides, oxyacids, ammonia); Phosphorus compounds (oxides, oxyacids, phosphine); Oxygen compounds (ozone, hydrogen peroxide); Sulfur compounds (hydrogen sulfide, oxides, sulfurous acid, sulfuric acid, sodium thiosulfate); Halogen compounds (hydrohalic acids, oxides, oxyacids of chlorine, bleaching powder); Xenon fluorides

Transition Elements (3d series)

Definition, general characteristics, oxidation states, stability, color, spin-only magnetic moment, Coordination compounds (nomenclature, isomerism, hybridization, geometries)

Compounds

Oxides and chlorides of tin and lead; Oxides, chlorides, and sulfates of Fe²⁺, Cu²⁺, and Zn²⁺; Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulfate

Ores and Minerals

Iron, copper, tin, lead, magnesium, aluminum, zinc, and silver

Extractive Metallurgy

Carbon reduction method, Self-reduction method, Electrolytic reduction method, Cyanide process

Principle of Qualitative Analysis

Groups I to V (Ag⁺, Hg₂²⁺, Cu²⁺, Pb²⁺, Bi³⁺, Fe³⁺, Cr³⁺, Al³⁺, Ca²⁺, Ba²⁺, Zn²⁺, Mn²⁺, Mg²⁺), Nitrate, halides (excluding fluoride), sulfate, sulfide.

Topic

Subtopic

Concepts

Hybridisation of carbon, σ and π-bonds, Shapes of simple organic molecules, Structural and geometrical isomerism, Optical 1 isomerism, IUPAC nomenclature, Conformations, Resonance and hyperconjugation, Keto-enol tautomerism, Determination of empirical and molecular formulae, Hydrogen bonds, Inductive and resonance effects, Polarity and inductive effects, Reactive intermediates, Formation, structure and stability of carbocations, carbanions and free radicals

Alkanes

Homologous series, physical properties, 2 Combustion and halogenation, Preparation by Wurtz reaction and decarboxylation reactions

Alkenes and Alkynes

Physical properties, Acidity of alkynes, Acid catalysed hydration, Reactions with KMnO₄ and ozone, Reduction, Preparation by elimination reactions, Electrophilic addition reactions, Addition reactions of alkynes, Metal acetylides

Benzene

Structure and aromaticity, Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation, Effect of o-, m- and p-directing groups

Phenols

Acidity, electrophilic substitution reactions, Reimer-Tieman reaction, Kolbe reaction

Characteristic Reactions

Alkyl halides, Alcohols, Ethers, Aldehydes and Ketones, Carboxylic acids, Amines, Haloarenes

Carbohydrates

Classification, mono- and di-saccharides, Oxidation, reduction, glycoside formation and hydrolysis of sucrose

Amino Acids and Peptides

General structure and physical properties

Polymers

Natural rubber, cellulose, nylon, teflon and PVC

Practical Organic Chemistry

Detection of elements, Detection and identification of functional groups, Chemical methods of separation of monofunctional organic compounds from binary mixtures

Topics 

Subtopics 

General

Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box. 

Mechanics

Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocity.

Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.

Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.

Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.

Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum;

Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies. 

Linear and angular simple harmonic motions.

Hooke’s law, Young’s modulus.

Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications. 

Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound). 

Thermal physics

Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law. 

Electricity and magnetism

Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell. 

Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor. 

Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current. 

Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and a current-carrying wire in a uniform magnetic field. 

Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions. Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources

Optics

Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.

Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment.

Modern Physics

Atomic nucleus; Alpha, Beta and Gamma radiations; Law of radioactive decay;  Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes. 

Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.

Topics 

Subtopics

Algebra

Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.

Logarithms and their properties.

Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.

Matrices

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.

Probability

Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Trigonometry

Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).

Analytical geometry

Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.

Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines;  Centroid, orthocentre, incentre and circumcentre of a triangle.

Equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.

Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.  Locus problems.

Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.

Differential calculus

Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions. Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.

Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.

Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.

Integral calculus

Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus.

Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.

Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first-order differential equations.

Vectors

Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first-order differential equations.

Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations. 

Skill

Description

Freehand Drawing

Simple drawings of everyday objects, focusing on form, proportion, texture, and detail.

Geometrical Drawing

Exercises involving lines, angles, shapes, and 3D objects like prisms, cones, and cylinders.

Three-Dimensional Perception

Understanding and appreciating 3D forms, including visualization and spatial reasoning.

Imagination and Aesthetic Sensitivity

Creative composition, innovative thinking, and color sense.

Architectural Awareness

Knowledge of famous architectural works, designers, and historical context.

Subject

Book Title

Author

Description

Physics

Concepts of Physics

H.C. Verma

Fundamental concepts, clear explanations

Problems in General Physics

I.E. Irodov

Challenging problems, problem-solving skills

Physics for JEE Main & Advanced

D.C. Pandey

Comprehensive coverage, solved examples, practice problems

Chemistry

Physical Chemistry

P. Bahadur

Detailed explanations, practice problems

Inorganic Chemistry

J.D. Lee

Comprehensive coverage of inorganic chemistry

Organic Chemistry

M.S. Chauhan

In-depth coverage, problem-solving techniques

Mathematics

Problems Plus in Mathematics

A. Das Gupta

Challenging problems, problem-solving skills

Higher Algebra

Hall and Knight

Permutations, combinations, binomial theorem, complex numbers

Coordinate Geometry

S.L. Loney

Fundamentals of coordinate geometry, straight lines, circles, conic sections, 3D geometry