JEE Advanced Syllabus 2025: Download PDF

Topics

Sub Topics

General Physics

Units and dimensions

Dimensional analysis; least count, significant figures

Different methods of measurement (parallax method)

Error analysis for physical quantities for following experiments

Experiments based on 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 convex lens and concave mirror using u-v method

Speed of sound using resonance column

Verification of Ohm’s law using voltmeter and ammeter

Specific resistance of wire using meter bridge

Specific resistance of wire using post office box

Mechanics

Kinematics in 1-D and 2-D (Cartesian coordinates only), projectiles

Uniform circular motion

Relative velocity

Newton’s laws of motion

Uniformly accelerated and inertial 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 of the body 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 (simple geometrical shapes)

Angular momentum

Torque

Conservation of angular momentum

Dynamics of rigid bodies (along 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

Buoyancy

Surface energy

Pascal’s law

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 waves

Transverse waves

Superposition of waves

Progressive waves and stationary waves

Vibration of strings and air column

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 (Cp and Cv for diatomic and monatomic gases)

Isothermal and adiabatic processes, bulk modulus of gases

Equivalence of heat and work

First law of thermodynamics and its applications (for ideal gases)

Blackbody radiation: absorptive powers and emissive powers

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 of electrical dipoles in a uniform electrostatic field

Electric field lines

Flux of electric field

Gauss’s law and its application

Electric field due to an infinitely long straight wire

Electric field due to uniformly charged infinite plane sheet

Electric field due to 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 its numericals, cells

Kirchhoff’s laws and its applications

Heating effect of current

Biot–Savart’s law and Ampere’s law

Magnetic field

Magnetic field near a current-carrying straight wire

Magnetic field along the axis of a circular coil

Magnetic field inside a long straight solenoid

Force on a current-carrying wire and a moving charge in a uniform magnetic field

Magnetic moment of a current loop

Effects 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; LC, LR and RC circuits with a.c. and d.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; 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

Characteristic and continuous X-rays

Moseley’s law

The Broglie wavelength of matter waves

Topics

Sub Topics

General Topics

Concept of atoms and molecules

Dalton’s atomic theory

Mole concept

Chemical formulae

Balanced chemical equations

Calculations/Numericals based on mole concept which can involve common oxidation-reduction, neutralisation reaction and displacement reactions

Concentration in terms of mole fraction

Molarity, molality and normality

Gaseous and liquid states

Bohr Model

Spectrum of hydrogen atom

Quantum numbers

Wave-particle duality, de Broglie hypothesis

Uncertainty principle

Qualitative quantum-mechanical picture of hydrogen atom, shapes of s orbital, p orbital and d orbitals

Electronic configurations of elements (till atomic number 36)

Aufbau principle

Pauli’s exclusion principle and Hund’s rule

Orbital overlap and covalent bond

Hybridisation 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, triangular, angular square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral)

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 (effect of temperature, concentration 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

Electrochemistry

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 conductance, 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 solid state, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ)

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

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

Solutions

Raoult’s law

Molecular weight determination from lowering of vapour pressure

Depression of freezing point, elevation of boiling point

Surface Chemistry

Elementary concepts of adsorption (excluding adsorption isotherms)

Colloids: types, methods of preparation and general properties

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

Nuclear Chemistry

Radioactivity: isotopes and isobars

Properties of α, β and γ rays

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

Stability of nuclei with respect to proton-neutron ratio

Brief discussion on fusion and fission reactions
 

Topics

Sub Topics

Algebra

Algebra of complex numbers

addition, multiplication, conjugation of vectors

polar representation of vectors

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

Sequence and Series

Arithmetic progressions

Geometric progressions

Harmonic progressions

Arithmetic mean

Geometric mean

Harmonic mean

sums of finite arithmetic and geometric progressions

infinite geometric series

sums of squares of the first n natural numbers

cubes of the first n natural numbers

Logarithms

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

Operation on Matrices

Addition and subtraction of matrices

Multiplication of matrices(by scalar)

Matrix Multiplication

Transpose of a matrix

Determinant of a square matrix(Up to Order of 3)

inverse of a square matrix(Up to Order of 3)

properties of matrix operations

diagonal, symmetric and skew-symmetric matrices and their properties

solutions of simultaneous linear equations in two variables

solutions of simultaneous linear equations in three variables

Probability

Addition and multiplication rules of probability

conditional probability

Bayes Theorem

independence of events

computation of probability (using permutations and combinations)

Trigonometry

Trigonometric functions

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 and half-angle formula

area of a triangle (trigonometric formulae)

inverse trigonometric functions (only principal value)

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 given two lines

To find the equation of the bisector of the angle (angle between two lines)

concurrency of lines

Triangles

Centroid of a triangle

Orthocentre of a triangle

incentre of a triangle

circumcentre of a triangle

Circle

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

Intersection of a circle with a circle

equation of a circle passing through the points of intersection of two circles and those of a circle and a straight line

Parabola, Ellipse and Hyperbola

Equations of a parabola in standard form

Equation ellipse and hyperbola in standard form

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, trigonometric, polynomial, rational, exponential and logarithmic functions

Limit and continuity of a function

limit and continuity of the sum, product, difference 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, product difference 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

Lagrange’s mean value theorem

Integral calculus

Integration (the inverse process of differentiation)

indefinite integrals of standard function

definite integrals and their properties

fundamental theorem of integral calculus

Integration by parts

Integration by the methods of substitution

Integration by partial fractions

Application of definite integrals

Determination of areas involving simple curves (Using definite integration)

Formation of ordinary differential equations

Solution of homogeneous differential equations

separation of variables method

linear first order differential equations

Vectors

Addition of vectors, scalar multiplication

dot and cross products

scalar triple products and their geometrical interpretations

Topic

Sub Topics

Freehand Drawing

Simple drawing of the total object including right form and proportion

Surface texture

Relative location

Component parts’ details

Common objects like furniture, equipment, etc. from memory

Geometrical Drawing

Lines, angles, triangles, quadrilaterals, polygons, circles, etc. of geometrical drawing

Plan study from top view

Front or Side view study of solid object’s elevations like prisms, cones, cylinders, cubes, splayed surface holders, etc.

Three-dimensional Perception

Understanding the forms

Building elements, color, volume, orientation

Visualization with the help of structuring objects

Imagination and Aesthetic Sensitivity

Elements composition exercise

Context mapping

Innovative uncommon test with familiar objects to check creativity

Color grouping or application sense

Architectural Awareness

International and national famous architectures

Places

Personalities like architects, designers, etc.