General

General Units and dimensions, dimensional analysis, least count, significant figures 

Methods of measurement and error analysis, Determination of g using simple pendulum, Young’s modulus - elasticity of the material Surface tension of water by capillary rise and effect of detergents

Mechanics

Newton’s laws of motion, Kinenatics in one and two dimensions, Systems of Particles, Rigid Body, Linear and angular simple harmonic motions, Hooke’s law, Young’s modulus, Law of Gravitation, Kepler’s law, Geostationary orbits, Pressure in a fluid, Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem

Thermal Physics

Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation, Equivalence of heat and work; First law of thermodynamics and its applications 

Electricity and Magnetism

Coulomb’s law; Electric field and potential; Electrical potential energy of a system, Capacitance; Parallel plate capacitor with and without dielectrics, Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws

Electromagnetic Waves

Electromagnetic waves and their characteristics. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays) including elementary facts about their uses.

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, Nature of light: Huygen’s principle, interference limited to Young’s double slit experiment, Diffraction due to a single slit

Modern Physics

Atomic nucleus; α, β and γ 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

General Topics

Concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept and stoichiometry) involving common oxidation-reduction, neutralisation, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality.

States of Matter: Gases and Lights

Gas laws and ideal gas equation, absolute scale of temperature; Deviation from ideality, van der Waals equation; Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature; Law of partial pressures; Diffusion of gases. Intermolecular interactions: types, distance dependence, and their effect on properties; Liquids: vapour pressure, surface tension, viscosity.

Atomic Structure

Bohr model, spectrum of hydrogen atom; Wave-particle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom: Energies, quantum numbers, wave function and probability density (plots only), shapes of s, p and d orbitals; Aufbau principle; Pauli’s exclusion principle and Hund’s rule.

Chemical Iconic Equillibrium

Law of mass action; Significance of ∆

Chemical Bonding and Molecular Structure

Orbital overlap and covalent bond; Hybridisation involving s, p and d orbitals only; Molecular orbital energy diagrams for homonuclear diatomic species (up to Ne2); Hydrogen bond; Polarity in molecules, dipole moment; VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral).

Chemical Thermodynamics

Intensive and extensive properties, state functions, First law of thermodynamics; Internal energy, work (pressure-volume only) and heat; Enthalpy, heat capacity, standard state, Hess’s law; Enthalpy of reaction, fusion and vapourization, and lattice enthalpy; Second law of thermodynamics; Entropy; Gibbs energy; Criteria of equilibrium and spontaneity.

Sets, Relations and Functions

Sets and their representations, different kinds of sets (empty, finite and infinite), algebra of sets, intersection, complement, difference and symmetric difference of sets and their algebraic properties, De-Morgan’s laws on union, intersection, difference

Algebra

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

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, elementary row and column transformations, determinant of a square matrix of order up to three, adjoint of a matrix

Trigonometry

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

Inverse trigonometric functions (principal value only) and their elementary properties

Differential Calculus

Limit of a function at a real number, 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.

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, Tangents and Normals. 

Probability and Statistics

Random experiment, sample space, different types of events (impossible, simple, compound), addition and multiplication rules of probability, conditional probability, independence of events, total probability, Bayes Theorem, computation of probability of events using permutations and combinations.Measure of central tendency and dispersion, mean, median, mode, mean deviation, standard deviation and variance of grouped and ungrouped data

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

Vectors

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

Thermodynamics

7%

Electromagnetic Induction

3%

Electrostatics

18%

Electric Current

9%

Magnetism

5%

Rotational Motion

8%

Kinematics

8%

Optics

3%

Kinematic Theory of Gases

3%

Periodic Table and Representative Elements

12%

Transition Elements and Coordination Chemistry

12%

Atomic Structure

8%

Thermodynamics and Gaseous State

8%

Chemical Bonding

8%

Nuclear Chemistry and Environment

8%

Chemical and Ionic Equilibrium

8%

Integral Calculus

14%

Sets, Relations and Functions

5%

Matrices

12%

Probability and Statistics

5%

Trigonometry & Analytical Geometry

21%

Exam Mode

Online (Computer-Based Test)

Papers

Paper 1 & Paper 2 (Compulsory)

Sections

Physics

Chemistry

Mathematics

JEE Advanced Time Duration

3 Hours Per Paper

Number of Questions 

54 Questions (18 from each subject)

Single Correct Answer

3

-1

1 or More Correct Answers

4

-2

Single Digit Integer (Paper 1)

3

-

Comprehension Type (Paper 2)

3

-

Physics

Halliday, Resnick & Walker

Fundamentals of Physics

Sears and Zemansky

University Physics

Nelson and Parker

Advanced Level Physics

A.A Pinsky

Problems in Physics

S.S Krotov

Aptitude Test Problems in Physics

Chemistry

Physical Chemistry

P. Bahadur

Organic Chemistry

Arihant Prakashan

IIT Chemistry

O.P. Agarwal

General Chemistry

Ebbing

Concise Inorganic Chemistry

J.D. Lee

Mathematics

Hall & Knight

Higher Algebra

I.A. Maron

Problems in Calculus of One Variable

Vectors & 3-D Geometry

Arihant Prakashan

Vectors

Shanti Narayan

V Govorov, P.Dybov, N.Miroshin, S.Smirnova.

Problems in Mathematics