JEE Advanced Syllabus 2021 (Maths, Physics, Chemistry) - Subject Wise

ByNavin Joshi  |  Updated on: Jan 20, 2021JEE Advanced 2021- Education minister has declared the JEE Advanced 2021 date, exam on July 3. Check JEE advanced 2021 application process, exam pattern, syllabus and more here.
JEE Advanced 2021- Education minister has declared the JEE Advanced 2021 date, exam on July 3. Check JEE advanced 2021 application process, exam pattern, syllabus and more here.
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JEE Advanced 2021 Syllabus

JEE Advanced 2021 syllabus is important for students to understand and comprehend in order to crack JEE Advanced 2021. JEE Advanced is required to be qualified to get admissions in IITs across the country. Thousands of students qualify JEE Main and appear for JEE Advanced. Those who qualify for JEE Advanced require rigorous practice and dedicated hard work to ace the JEE Advanced 2021 exam. To begin with, one has to have a clear idea of the syllabus for the exam. JEE Advanced Syllabus 2021 is comprehensive and far-reaching which requires understanding and complete awareness of the topics.

JEE Advanced Maths Syllabus 2021





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

Quadratic equations, the formation of quadratic equations, roots and coefficients, symmetric functions., infinite geometric series, sums of squares and cubes of the first n natural numbers. Logarithms, Arithmetic, geometric and harmonic progressions, mean, sum, 

Permutations and combinations, binomial theorem properties of binomial coefficients.


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


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


Periodicity and graphs,, addition and subtraction formulae, sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, The general solution of trigonometric equations. inverse trigonometric functions (principal value only).  formulae involving multiple and sub-multiple angles

Analytical Geometry

Equation of a circle. Parametric equations, equation of a circle through the points of intersection 

Equations of a parabola, hyperbola ellipse and in standard form, foci, eccentricity.  Locus problems.

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

Cartesian coordinates, section formulae, a shift of origin.

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

Differential Calculus

Limit & continuity, Rolle’s theorem, Tangents and normals, continuous functions, Ls hospital rule, polynomial, Lagrange’s theorem, chain rule, even and odd functions, inverse trigonometric, logarithmic function, increasing functions, decreasing functions, derivatives, an intermediate value of the continuous function, absolute value, onto, one-one functions, other types of functions

Integral Calculus

Integration by substitution, partial fractions, fundamental theorem of calculus, the inverse process of differentiation, application of definite integrals for finding area, homogenous equations, linear first-order equations,  separation of variables, indefinite integrals, definite integrals


Scalar triple products, Geometrical interpretations if scaler triple product, dot and cross product, the addition of vectors, Scalar multiplication

JEE Advanced Physics Syllabus 2021





Vernier callipers,  screw gauge, Determination of g using a simple pendulum, Young’s modulus, Speed of sound, Verification of Ohm’s law, the specific resistance of the material x, Units and dimensions. Methods of measurement and error analysis, Specific heat of a liquid, the focal length of a concave mirror and a convex lens using the u-v method, Dimensional analysis, 

Thermal Physics

Thermal expansion of solids

Elementary concepts of convection and radiation, Newton's law of cooling, Kirchhoff’s law

Specific heats (Cv and Cp for monoatomic and diatomic gases) Ideal gas laws

Equivalence of heat and work, Stefan’s law.

The first law of thermodynamics 

Blackbody radiation: absorptive and emissive powers

Wien’s displacement law

Isothermal and adiabatic processes, the bulk modulus of gases


Rectilinear propagation of light; 

The different phenomenon of light,

Wave nature of light

Modern Physics

Atomic nucleus

 Bohr’s theory of hydrogen-like atoms;

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

Electricity and Magnetism

Topics related to Coulomb’s law, Capacitance and related concepts; 

Electric current 

Biot–Savart’s law and Ampere’s law; Magnetic field by different objects

The magnetic moment of different objects, 

Electromagnetic induction and related topics.


Kinematics in one and two dimensions,

Newton’s laws of motion and related topics,

Systems of particles

Law of gravitation,  Escape velocity.

Rigid body, parallel and perpendicular axes theorems, a moment of inertia of uniform bodies momentum; Dynamics of rigid bodies; cylinders and spheres; Equilibrium of rigid bodies; 

Linear and angular simple harmonic motions. The vibration of strings 

Pressure in a fluid; Pascal’s law,  Stoke’s law; Bernoulli’s theorem and its applications. Wave motion (plane waves only), Progressive and stationary waves; Speed of sound in gases; Doppler effect (in sound). Torque; Conservation of angular momentum, Rolling without slipping of rings, Collision of point masses with rigid bodies, Hooke’s law, Young’s modulus. Terminal velocity, Streamline flow, equation of continuity, longitudinal and transverse waves, superposition of waves;

JEE Advanced Chemistry Syllabus 2021




General Topics

Dalton’s atomic theory

Chemical formulae

Concept of atoms and molecules

Balanced equations

oxidation-reduction, neutralization, and displacement reactions

Mole concept

mole fraction, molarity, molality and normality.

Gaseous and Liquid State

Deviation from ideality, van der Waals equation

Kinetic theory of gases

Law of partial pressures

Diffusion of gases.

ideal gas equation

The absolute scale of temperature,

Atomic Structure and Chemical Bonding

The spectrum of the hydrogen atom, 

Wave-particle duality,

 Bohr model,

Qualitative quantum mechanical picture of the hydrogen atom, Aufbau principle

 de Broglie hypothesis

Uncertainty principle


Orbital energy diagrams for homonuclear diatomic species

Hydrogen bond

Pauli’s exclusion principle and Hund’s rule

Orbital overlap and covalent bond

Polarity in molecules, dipole moment (qualitative aspects only)

VSEPR model


The first law of thermodynamics

The second law of thermodynamics

The criterion of spontaneity.

Internal energy, work and heat, pressure-volume work

Enthalpy, Hess’s law

The heat of reaction, fusion and vapourization


Free energy

Chemical Equilibrium

Law of mass action

Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure)

Significance of ΔG and ΔG0 in chemical equilibrium

Solubility product, common ion effect, pH and buffer solutions

Acids and bases (Bronsted and Lewis concepts)

Hydrolysis of salts.


Electrochemical cells and cell reactions

Standard electrode potentials

Nernst equation and its relation to ΔG

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 the rate constant (Arrhenius equation).

Solid State

Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), the close-packed structure of solids (cubic), packing in fcc, bcc and hcp lattices

Nearest neighbours, ionic radii, simple ionic compounds, point defects.


Raoult’s law

Molecular weight determination from lowering of vapour pressure, the elevation of boiling point and depression of freezing point.

Surface Chemistry

Elementary concepts of adsorption (excluding adsorption isotherms)

Colloids: types, methods of preparation and general properties

Elementary ideas of emulsions, surfactants, and micelles (only definitions and examples).

Nuclear Chemistry


Isotopes and isobars

Properties of α, β and γ rays

Kinetics of radioactive decay (decay series excluded), carbon dating

Stability of nuclei with respect to proton-neutron ratio

A brief discussion on fission and fusion reactions.


JEE Advanced 2021 Inorganic Chemistry Syllabus




Isolation/preparation and properties of the following non-metals

Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens

Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur

Preparation and properties of the following compounds

Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium

Boron: diborane, boric acid and borax

Aluminium: alumina, aluminium chloride and alums

Carbon: oxides and oxyacid (carbonic acid)

Silicon: silicones, silicates and silicon carbide

Nitrogen: oxides, oxyacids and ammonia

Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine

Oxygen: ozone and hydrogen peroxide

Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate

Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder

Xenon fluorides.

Transition Elements 3D Series

Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment

Coordination compounds: nomenclature of mononuclear coordination compounds, cistrans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).

Preparation and properties of the following compounds

Oxides and chlorides of tin and lead

Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+

Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.

Ores and Minerals

Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium,

zinc and silver.

Extractive metallurgy

Chemical principles and reactions only (industrial details excluded)

Carbon reduction method (iron and tin)

Self reduction method (copper and lead)

Electrolytic reduction method (magnesium and aluminium)

Cyanide process (silver and gold).

Principles of qualitative analysis

Groups I to V (only Ag+ , Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+)

Nitrate, halides (excluding fluoride), sulphate and sulphide.

JEE Advanced 2021 Organic Chemistry Syllabus




Preparation, properties and reactions of alkanes

Homologous series, physical properties of alkanes (melting points, boiling points and density)

Combustion and halogenation of alkanes

Preparation of alkanes by Wurtz reaction and decarboxylation reactions.

Preparation, properties and reactions of alkenes and alkynes

Physical properties of alkenes and alkynes (boiling points, density and dipole moments)

Acidity of alkynes

Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination)

Reactions of alkenes with KMnO4 and ozone

Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions

Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (X=halogen)

Addition reactions of alkynes; Metal acetylides.

Reactions of benzene

Structure and aromaticity

Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation

Effect of o-, m- and p-directing groups in monosubstituted benzenes.


Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation)

Reimer-Tieman reaction, Kolbe reaction.



Mono- and di-saccharides (glucose and sucrose)

Oxidation, reduction, glycoside formation and hydrolysis of sucrose.

Amino Acids and Peptides

General structure (only primary structure for peptides) and physical properties.

Properties and uses of some important polymers

Natural rubber, cellulose, nylon, teflon and PVC.

Practical Organic Chemistry

Detection of elements (N, S, halogens)

Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro

Chemical methods of separation of mono-functional organic compounds from binary mixtures.

Characteristic reactions of the following (including those mentioned above)

Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions, nucleophilic substitution reactions

Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones

Ethers: Preparation by Williamson’s Synthesis

Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation

Aldol condensation, Perkin reaction

Cannizzaro reaction

Haloform reaction and nucleophilic addition reactions (Grignard addition)

Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis

Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction

Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).


Hybridisation of carbon

σ and π-bonds

Shapes of simple organic molecules

Structural and geometrical isomerism

Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded)

IUPAC nomenclature of simple organic compounds (only) hydrocarbons, mono-functional and bi-functional compounds)

Conformations of ethane and butane (Newman projections)

Resonance and hyperconjugation


Determination of empirical and molecular formulae of simple compounds (only combustion method)

Hydrogen bonds

Definition and their effects on physical properties of alcohols and carboxylic acids

Inductive and resonance effects on acidity and basicity of organic acids and bases

Polarity and inductive effects in alkyl halides

Reactive intermediates produced during homolytic and heterolytic bond cleavage

Formation, structure and stability of carbocations, carbanions and free radicals.

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Navin JoshiMember since Nov 2018
Author | Ex-HOD, Bansal Classes-Jaipur | Ex-HOD Brilliant Tutorial | Ex-Centre Head, IITians Pace
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