JEE Advanced Syllabus

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 a meter bridge and a post office box.

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).

in one dimension; Elementary concepts of convection and radiation; Newton’s law of

cooling; Ideal gas laws; Specific heats (Cv and Cp for monatomic 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.

point charges and of 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 on 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.

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.

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.

Balanced chemical equations, Chemical formulas, Calculations on mole concept involving common oxidation and reduction.

Neutralization and displacement reactions.

Concentration in terms of mole fraction, molality, molarity, and normality.

Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature.

Law of partial pressures, Vapour pressure and Diffusion of gases.

Qualitative quantum mechanical picture of the hydrogen atom, shapes of s, p and d orbitals, Electronic configurations of elements (up to atomic number 36), Aufbau principle, Pauli exclusion principle and Hund’s rule.

Orbital overlap and the covalent bond; Hybridization involving s, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species; Hydrogen bond.

Polarity in molecules, dipole moment (qualitative aspects only), VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral).

Pressure-Volume work, Enthalpy, Hess’s law; Heat of reaction, fusion, and vaporization.

The second law of Thermodynamics, Entropy, Free energy, and criterion of spontaneity.

The significance of Delta G and Delta G0 in chemical equilibrium, Solubility product, common ion effect, pH, and buffer solutions.

Acids and bases (Bronsted and Lewis concepts) and Hydrolysis of salts.

Electrochemical series, emf of galvanic cells, Faraday’s laws of electrolysis.

Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law, and Concentration cells.

First-order reactions, Temperature dependence of rate constant (Arrhenius equation).

Close-packed structure of solids (cubic), packing in fcc, bcc and hcp lattices.

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

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).

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

Stability of nuclei with respect to proton-neutron ratio; Brief discussion on fission and fusion reactions.

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

Boron: diborane, boric acid, borax, and Aluminium: alumina, aluminium chloride and alums.

Carbon: oxides and oxyacid (carbonic acid), and Silicon: silicones, silicates and silicon carbide.

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

Oxygen: ozone and hydrogen peroxide, and Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate.

Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.

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

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

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

Extractive metallurgy: Chemical principles, and reactions only (industrial details excluded).

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.

IUPAC nomenclature of simple organic compounds (only hydrocarbons, monofunctional, and bifunctional compounds), Conformations of ethane and butane (Newman projections), Resonance and hyperconjugation.

Keto-enol tautomerism, 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.

Acid-catalyzed 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, and Metal acetylides.

Combustion and halogenation of alkanes.

Preparation of alkanes by Wurtz reaction and decarboxylation reactions.

Phenols: Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); Reimer-Tiemann reaction, and Kolbe reaction.

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, the 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).

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.

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.

Polar representation, properties of modulus and principal argument.

Triangle inequality, cube roots of unity.

Geometric interpretations.

Relations between roots and coefficients.

Formation of quadratic equations with given roots.

Symmetric functions of roots.

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.

Properties of binomial coefficients.

Determinant of a square matrix of order up to three, the 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.

Bayes Theorem, independence of events.

Computation of probability of events using permutations and combinations.

Formulae involving multiple and submultiple angles.

The general solution of trigonometric equations.

Half-angle formula and the area of a triangle.

Inverse trigonometric functions (principal value only).

Dot and cross products.

Scalar triple products and their geometrical interpretations.

Sum, difference, product, and quotient of two functions.

Composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.

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

Limit and continuity of the sum, difference, product and quotient of two functions.

L’Hospital rule of evaluation of limits of 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.

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.

The solution of homogeneous differential equations, separation of variables method.

Linear first-order differential equations.