JEE Advanced Syllabus 2025: Subject-wise Topics & Exam Pattern PDF

Units and dimensions, dimensional analysis.

Least count, significant figures.

Experimental methods of measurement and error analysis for physical quantities.

• Experiments based on using Vernier callipers and screw gauge (micrometre)
• Determination of g using a simple pendulum
• Young’s modulus by Searle’s method
• Specific heat of a liquid using a calorimeter
• The focal length of a concave mirror and a convex lens using UV method
• Speed of sound using resonance column
• Verification of Ohm’s law using voltmeter and ammeter
• The specific resistance of the material of a wire using meter bridge and post office box

Kinematics in one and two dimensions (Cartesian coordinates), projectile motion, uniform circular motion, and relative velocity.

Newton’s laws of motion; Inertial and non-inertial frames; static and dynamic friction; work, kinetic and potential energy; power; conservation of linear momentum and mechanical energy.

Systems of particles, center of mass and its motion, impulse, and elastic versus inelastic collisions.

Universal law of gravitation, gravitational potential and field, acceleration due to gravity, orbital mechanics, and escape velocity.

Rigid body dynamics, moment of inertia, parallel and perpendicular axes theorems, angular momentum, and torque.

Conservation of angular momentum, dynamics of rotation, rolling motion, equilibrium of rigid bodies, and simple harmonic motion (linear and angular).

Elasticity: Hooke’s law and Young’s modulus.

Fluid mechanics: Pascal’s law, buoyancy, surface tension, capillary action, viscosity (Stoke’s law), terminal velocity, streamline flow, and Bernoulli’s theorem.

Wave motion, longitudinal and transverse waves, superposition, progressive and stationary waves, resonance, beats, speed of sound, and Doppler effect.

Thermal properties: expansion, calorimetry, latent heat, heat conduction, and concepts of radiation and convection.

Newton’s law of cooling, ideal gas laws, specific heats (Cv, Cp), thermodynamic processes (isothermal, adiabatic), and work-heat equivalence.

First law of thermodynamics, blackbody radiation, Kirchhoff’s law, Wien’s displacement law, and Stefan’s law.

Electrostatics: Coulomb’s law, electric field/potential, dipoles, field lines, flux, and Gauss’s law with applications to wires, planes, and spheres.

Capacitance: Parallel plate capacitors, dielectric effects, series and parallel combinations, and energy storage.

Current Electricity and Magnetism: Ohm’s law, Kirchhoff’s laws, heating effect, Biot-Savart law, Ampere’s law, and force on charges in magnetic fields.

Magnetic loops, moving coil galvanometers, and electrical measurement instruments (voltmeters/ammeters).

Electromagnetic induction: Faraday’s and Lenz’s laws, self/mutual inductance, and RC, LR, LC circuits.

Geometrical Optics: Reflection and refraction at spherical surfaces, total internal reflection, prism dispersion, thin lenses, and combinations.

Wave Optics: Huygens’ principle and interference (Young’s double-slit experiment).

Nuclear Physics: Atomic nucleus, radioactive decay, half-life, binding energy, and fission/fusion energy calculations.

Modern Physics: Photoelectric effect, Bohr’s hydrogen atom model, X-rays, Moseley’s law, and de Broglie wavelength.

1. Gaseous and liquid states
2. Atomic structure and chemical bonding
3. Energetics
4. Chemical equilibrium
5. Electrochemistry
6. Chemical Kinetics
7. Solid State
8. Solutions
9. Surface Chemistry
10. Nuclear Chemistry
11. General topics.

1. Isolation/preparation and properties of the following non-metals
2. Preparation and properties of the following compounds
3. Transition elements (3d series)
4. Ores and minerals
5. Preparation and properties of the following compounds
6. Extractive metallurgy
7. Principles of qualitative analysis.

1. Concepts, Preparation, properties and reactions of alkanes
2. Preparation, properties and reactions of alkenes and alkynes
3. Reactions of benzene, Phenols, Carbohydrates, Amino acids and peptides
4. Properties and uses of some important polymers
5. Practical organic chemistry

Complex numbers: algebra, polar form, properties of modulus, cube roots of unity, and geometric interpretation.

Quadratic equations: roots, coefficients, and symmetric functions of roots.

Progressions (AP, GP, HP), sums of series, and sums of powers of natural numbers.

Logarithms and their algebraic properties.

Permutations, combinations, and the binomial theorem.

Matrices and Determinants: basic operations, properties, and inverse of matrices up to 3x3 order.

Advanced matrix properties and solving systems of linear equations.

Probability rules, addition, and conditional probability.

Bayes’ Theorem, independence of events, and counting techniques.

Trigonometric functions, identities, and solving equations.

Triangle properties, inverse trigonometric functions, and their applications.

2D Geometry: Coordinate systems, distance, and section formulas.

Straight lines: equations, angles, and distances.

Line intersections, angle bisectors, and triangle centers (centroid, orthocenter, etc.).

Circle geometry: equations, tangents, and chords.

Parametric forms and intersections of circles.

Conic sections: parabola, ellipse, and hyperbola (standard forms, tangents, normals).

Locus problems and geometry applications.

3D Geometry: Direction cosines, lines in space, and plane equations.

Calculus: Functions (one-to-one, onto), composition, and types of functions (polynomial, logarithmic, exponential).

Limits and continuity, including L’Hospital’s rule.

Even/odd functions, inverse functions, and intermediate value property.

Differentiation: chain rule, derivatives of all standard functions.

Implicit differentiation, higher-order derivatives, tangents, maxima/minima, and Mean Value Theorems.

Integral calculus: indefinite and definite integrals and their properties.

Integration techniques (parts, substitution, partial fractions) and applications to area.

Differential equations: formation and first-order linear solutions.

Vector algebra: addition, dot product, and cross product.

Scalar triple products and geometric interpretation.