JEE Advanced 2025 Syllabus Released by IIT Kanpur - Download PDF

Topic

Subtopics

d-Block Elements

Catalysts, Alloys, Electrode potentials, Oxidation states, Oxoanions (Cr, Mn)

Benzene

Friedel-Crafts, Electrophilic substitution, Nitration, Halogenation, Sulfonation, Directing effects, Structure

States of Matter

Velocity types, Vapour pressure, Intermolecular forces, Deviation from ideality, Kinetic theory, Surface tension, Partial pressure, Ideal gas equation, Diffusion, van der Waals equation, Gas laws, Viscosity, Absolute temperature scale

Coordination Compounds

Ligands, Color, Werner theory, Stability, Isomerism, VBT, Metal carbonyls, Magnetic properties, Nomenclature, CFT

Polymers

Nylon, Teflon, Types, Applications, Synthetic rubber, Natural polymers, Bio-degradable, PVC

Chemical Thermodynamics

Hess’s law, Gibbs energy, Reaction enthalpy, Intensive/extensive properties, Enthalpy, First law, Internal energy, Second law, Lattice enthalpy, Fusion/vaporization, Heat/work, State functions, Entropy

Aldehydes & Ketones

Reduction, Oxidation, Aldol, Cannizzaro, Preparation, Nucleophilic addition

Alkanes

Halogenation, Butane conformations, Preparation, Ethane conformations, Oxidation, Combustion, Physical properties

Chemical & Ionic Equilibrium

Law of mass action, pH, Acids/bases, Solubility product, Common ion effect, Hydrolysis, ∆G, Kp & Kc, Le Chatelier’s principle, Reaction quotient

Environmental Chemistry

Green chemistry, Water/soil/air pollution, Industrial waste

Solutions

Raoult’s law, Henry’s law, Ideal solutions, van’t Hoff factor, Colligative properties

Amines

Nitrous acid, Hinsberg, Hoffmann, Diazotization, Nitrile reduction, Gabriel synthesis, Alkylation, Amide reduction

General Topics

Displacement, Normality, Mole concept, Molarity, Dalton’s theory, Balanced equations, Redox, Neutralization, Atoms & molecules, Chemical formulae, Stoichiometry, Mole fraction, Molality, Concentration

p-Block Elements

Group 13–18 properties, Reactivity, SO₂, NH₃, CO₂, Borax, Cl₂, XeF₂, BF₃, Trends

Biomolecules

Peptide bond, Hydrolysis (sucrose), RNA, Protein structures, Glucose, DNA, Amino acids

Chemical Bonding

Covalent bonds, VSEPR, Hydrogen bonding, Shapes, Hybridisation, Dipole moment, MO diagrams, Orbital overlap

Electrochemistry

Electrolytic conductance, EMF, Electrochemical series, Cells, Fuel cells, Batteries, Faraday’s laws, Nernst, Electrode potentials, Kohlrausch’s law, Corrosion

Carboxylic Acids

Amidation, Nitrile hydrolysis, Reduction, Grignard synthesis, Physical properties, Esterification, Halogenation

Atomic Structure

Pauli principle, Aufbau, Orbitals (s, p, d), Quantum numbers, Hydrogen spectrum, Bohr model, Heisenberg, de Broglie, Wave-particle duality, Energies

Hydrogen

H₂O₂, Isotopes, Heavy water, Position, Hydrides, Water, Fuel use

Qualitative Analysis

Halides, Nitrate, Group I–V cations, CO₃²⁻, SO₄²⁻, S²⁻

Alcohols

Substitution, Dehydration, Esterification, Oxidation to acids/aldehydes, Properties

Surface Chemistry

Surfactants, Adsorption types, Emulsions, Colloids, Freundlich isotherm, Micelles, Preparation

Haloarenes

Nucleophilic substitution, Fittig, Wurtz-Fittig

Classification of Elements

Reactivity, Periodicity, Modern law, Valency, Radius, Enthalpy, Electronegativity, Configuration

Solid State

FCC/BCC, HCP, Radius ratio, Crystal systems, Point defects, Neighbors, Crystalline solids

Alkyl Halides

Rearrangement, Grignard, Nucleophilic substitution, Stereochemistry

f-Block Elements

Oxidation, Properties, Lanthanoid contraction, Actinoids

Alkenes & Alkynes

Polymerization, KMnO₄, Electrophilic addition, Elimination, Reduction, Ozonolysis, Acetylides

Practical Organic Chemistry

Hydroxyl, Carbonyl, Nitro, Carboxyl, Amino group tests, N, S, Halogen detection

Everyday Chemistry

Antacids, Sweeteners, Soaps, Drug actions, Antihistamines

Ethers

Williamson synthesis, C–O bond cleavage

Basic Organic Principles

Resonance, Isomerism, σ/π bonds, IUPAC, Hyperconjugation, Acidity/basicity, Formulas, Inductive effect, Hybridization, Intermediates

Chemical Kinetics

Catalysis, Zero/first-order, Half-life, Rate laws, Temp dependence, Rate constant, Enzymes, Arrhenius, Order/molecularity

s-Block Elements

Oxides/hydroxides, Group 1 & 2 reactivity, Li/Be anomalies, Na/Ca compounds, Reducing nature, Halides, Salts, Uses

Isolation of Metals

Refining, Thermodynamics, Ores/concentration, Electrochemical methods, Cyanide process

Phenols

Esterification, Substitution, Oxidation, Kolbe, Properties, Reimer-Tiemann, Reduction

Topic

Subtopics

Vectors

Dot and cross products, Scalar triple product, Scalar multiplication, Vector triple product, Geometrical interpretations, Addition of vectors

Algebra

Cube roots of unity, Quadratic equations (formation and relations), Arithmetic and geometric means, Geometric interpretation of complex numbers, Sum of natural numbers, Properties of modulus and argument, Fundamental theorem of algebra, Polar representation, Sums of squares and cubes, Symmetric functions of roots, Addition and multiplication of complex numbers, Infinite geometric series

Integral Calculus

Integration by parts, Inverse process of differentiation, Indefinite integrals of standard functions, Solution of homogeneous differential equations, Properties of definite integrals, Definite integrals as limit of sums, Application to areas, Method of partial fractions, Formation of differential equations, Linear first-order differential equations, Method of substitution, Fundamental theorem of integral calculus, Separation of variables

Sets, Relations and Functions

Ordered pair, De Morgan’s Laws, Cartesian product, Domain, codomain, and range, Function composition, Even and odd functions, One-to-one and onto, Invertible functions, Algebra of sets, Relations and equivalence, Types of functions (polynomial, logarithmic, greatest integer, etc.), Practical set problems

Trigonometry

Addition and subtraction formulas, Periodicity and graphs, Inverse trigonometric functions, General solution of trigonometric equations, Multiple and sub-multiple angles, Principal values and properties

Probability and Statistics

Independence of events, Conditional probability, Standard deviation, Bayes Theorem, Random variable, Total probability, Compound/simple events, Sample space, Frequency distribution analysis, Variance, Mode and mean, Mean deviation, Median

Matrices

Product of matrices, Matrix addition, Determinant (order ≤3), Elementary transformations, Symmetric and skew-symmetric properties, Diagonal matrices, Transpose, Matrix inverse (order ≤3), Matrix equality, Rectangular arrays, Simultaneous equations (2–3 variables), Scalar multiplication, Adjoint of matrix

Analytical Geometry

Equation of a straight line, Locus problems, Shift of origin, Direction cosines and ratios, Equation of tangent and normal (circle), Conic sections: parabola, ellipse, hyperbola, Lines through intersection points, Parametric equations, Angle between line and plane, Equation of a plane, Centroid and orthocentre, Circle through intersecting points, Chord equations, Triangle centers (incentre, circumcentre), Concurrency, Skew lines, Coplanarity, Angle between planes/lines, Shortest distance

Differential Calculus

Chain rule, Increasing/decreasing functions, L’Hospital’s Rule, Tangents and normals, Intermediate value property, Continuity of composite functions, Derivatives of polynomial and trigonometric functions, Derivative of sum/difference/product/quotient, Second-order derivatives, Maximum/minimum, Rolle’s theorem, Implicit derivatives, Lagrange’s mean value theorem, Continuity and limits

Topic

Topics

Optics

Brewster’s law and Polaroids, deviation and dispersion of light through a prism, thin lenses and their combinations, Young’s double slit experiment, reflection and refraction at plane and spherical surfaces, total internal reflection, polarization, diffraction due to a single slit, magnification, rectilinear propagation of light, and Huygens’ principle.

Electricity and Magnetism

RC, LR, LC, and LCR circuits with both AC and DC sources; magnetic fields due to a straight wire, circular coil, and solenoid; resistances and cells in series and parallel; electric field lines and electric flux; force on a moving charge in a magnetic field; energy storage in capacitors with and without dielectrics; magnetic moment of a current loop; Faraday’s and Lenz’s laws of electromagnetic induction; Biot–Savart’s law; electric potential energy of systems; Gauss’s law and its applications; Coulomb’s law; self and mutual inductance; Ohm’s law and electric current; conversion of galvanometer into voltmeter and ammeter; potential due to point charges and dipoles; Ampere’s law; Kirchhoff’s laws; and the effect of a uniform magnetic field on a current-carrying loop.

Modern Physics

Characteristic and continuous X-rays, photoelectric effect, law of radioactive decay, de Broglie wavelength, nuclear fission and fusion processes, decay constant, half-life and mean life, binding energy and its calculations, alpha (α), beta (β), and gamma (γ) radiations, Bohr’s theory for hydrogen-like atoms, Moseley’s law, energy calculations in nuclear processes, and the structure of the atomic nucleus.

Mechanics

Moment of inertia for simple geometric bodies and theorems of parallel and perpendicular axes; linear and angular simple harmonic motion including forced and damped oscillations; rolling without slipping; Newton’s laws and frames of reference; streamline flow, equation of continuity, and Bernoulli’s theorem; one- and two-dimensional kinematics and projectile motion; fluid properties such as buoyancy, surface tension, and angle of contact; gravitational field and potential, Kepler’s laws, and motion of celestial bodies; Hooke’s law and Young’s modulus; torque and angular momentum; work, power, and energy; viscosity and Stokes’ law; collisions of point masses with rigid bodies; relative velocity and uniform circular motion; Doppler effect; elastic and inelastic collisions; center of mass and impulse; static and dynamic friction; law of gravitation; wave motion including progressive and stationary waves, resonance, and beats; and conservation of linear momentum and mechanical energy.

Thermal Physics

Calorimetry and latent heat; Kirchhoff’s law; Wien’s displacement law; Carnot engine and its efficiency; specific heats (Cv and Cp) of monoatomic and diatomic gases; first law of thermodynamics with applications to ideal gases; absorptive and emissive powers, blackbody radiation; thermal expansion of solids, liquids, and gases; one-dimensional heat conduction, elementary concepts of convection and radiation; bulk modulus of gases; Newton’s law of cooling; isothermal and adiabatic processes; the second law of thermodynamics, reversible and irreversible processes; and the ideal gas law.

General

Experiments and measurement techniques such as using Vernier calipers and screw gauge, verification of Ohm’s law using voltmeter and ammeter, determining the speed of sound using a resonance column, units and dimensions with dimensional analysis, analysis of experimental error, focal length measurement using the u-v method, measurement of surface tension via capillary rise and effect of detergents, determination of specific resistance using meter bridge and post office box, understanding least count and significant figures, Young’s modulus determination, and determining gravitational acceleration using a simple pendulum.

Electromagnetic Waves

Characteristics of electromagnetic waves and an overview of the electromagnetic spectrum, including radio waves, microwaves, infrared, visible, ultraviolet, X-rays, and gamma rays, along with their basic uses.