JEE Advanced Syllabus 2027: Subject-Wise Topics, Chapter Wise Weightage and PDF Download

Units and dimensions; dimensional analysis and its applications; least count; significant figures; methods of measurement and error analysis for physical quantities; experiments based on using Vernier calipers and screw gauge, determination of g using simple pendulum, Young’s modulus by Searle’s method, specific heat of a liquid using calorimeter, focal length of concave mirror and convex lens, speed of sound using resonance column, verification of Ohm’s law using voltmeter and ammeter, specific resistance of the material using meter bridge and post office box.

Kinematics: Motion in a straight line; uniformly accelerated motion; relative velocity; projectile motion; uniform circular motion. Newton’s Laws: Laws of motion; inertia; concurrent forces; friction; circular motion; inertial and non-inertial frames; pseudo force. Work and Energy: Work-energy theorem; kinetic and potential energy; conservative and non-conservative forces; power. Momentum: Linear momentum; impulse; elastic and inelastic collisions in 1D and 2D. System of Particles: Centre of mass; its motion; momentum conservation. Rotation: Rigid body rotation; moment of inertia; parallel and perpendicular axis theorems; torque; angular momentum; conservation of angular momentum; rolling motion. Gravitation: Law of gravitation; gravitational potential and field; escape velocity; Kepler’s laws; satellites (geostationary). Solids and Fluids: Elasticity — Hooke’s law, Young’s modulus, bulk modulus, rigidity modulus; pressure in a fluid; Pascal’s law; buoyancy; surface tension — surface energy, angle of contact, capillary rise; viscosity — Stokes’ law, terminal velocity; Bernoulli’s theorem; streamline and turbulent flow.

Thermal Expansion: Thermal expansion of solids, liquids and gases; anomalous expansion of water; specific heats (Cv and Cp for monoatomic and diatomic gases); calorimetry; latent heat. Kinetic Theory: Ideal gas law; kinetic theory of gases; Maxwell’s velocity distribution; mean free path. Thermodynamics: Zeroth law; concept of temperature; First law — heat, internal energy, work; isothermal, adiabatic, isobaric and isochoric processes; Second law — reversible and irreversible processes; Carnot engine and its efficiency. Heat Transfer: Conduction — steady state, Fourier’s law, thermal resistance; convection; radiation — Stefan–Boltzmann law.

Electrostatics: Coulomb’s law; electric field and potential; Gauss’s law and its applications; electric dipole; capacitance — parallel plate, spherical and cylindrical capacitors; dielectrics; energy stored in capacitors; series and parallel combinations. Current Electricity: Ohm’s law; resistance; series and parallel combinations; Kirchhoff’s laws; Wheatstone bridge; meter bridge; potentiometer; RC circuits (charging and discharging). Magnetic Effect of Current: Biot–Savart law; Ampere’s law; force on a current-carrying conductor; force between two parallel wires; circular loop and solenoid; moving charges in magnetic fields. Electromagnetic Induction: Faraday’s law; Lenz’s law; self and mutual inductance; LR circuits; AC circuits — capacitive and inductive reactance, impedance, power factor, resonance; transformers. Magnetism: Bar magnet; magnetic field of Earth; paramagnetism; diamagnetism; ferromagnetism; hysteresis.

Electromagnetic spectrum — radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays; characteristics and applications of each region; Maxwell’s equations (qualitative); properties of electromagnetic waves — transverse nature, speed in vacuum, energy and momentum carried by EM waves.

Ray Optics: Reflection — laws, spherical mirrors, mirror formula; refraction — Snell’s law, total internal reflection, critical angle; refraction at spherical surfaces; thin lenses — lens-maker’s equation, lens formula; power of a lens; combination of lenses and mirrors; refraction through a prism; dispersion; scattering of light; optical instruments — microscope, telescope. Wave Optics: Huygens principle; interference of light — Young’s double slit experiment, fringe width, coherence; diffraction — single slit, condition for first minimum; polarisation — Brewster’s angle, polaroids, law of Malus.

Atomic Structure: Atomic models — Thomson, Rutherford, Bohr; hydrogen spectrum; energy levels; de Broglie wavelength; Heisenberg’s uncertainty principle. Photoelectric Effect: Einstein’s photoelectric equation; work function; stopping potential; wave-particle duality. Nuclear Physics: Nuclear size, mass, binding energy; radioactivity — alpha, beta, gamma decay; laws of radioactive disintegration; half-life; nuclear reactions; fission and fusion (energy released).

Ideal gas equation; deviation from ideal behaviour; van der Waals equation; kinetic theory of gases — Maxwell’s speed distribution, average and RMS speeds; Dalton’s law of partial pressures; diffusion (Graham’s law); liquefaction of gases; vapour pressure; viscosity and surface tension (definition and qualitative explanations).

Ionic bond — lattice energy; covalent bond — Lewis structures, VSEPR theory, geometry; hybridization (sp, sp², sp³, sp³d, sp³d²); resonance; polarity; hydrogen bonding; coordinate bond; Valence Bond Theory; Molecular Orbital Theory — bond order, magnetic properties of O₂, B₂, N₂, F₂, CO, NO.

Law of mass action; equilibrium constant (Kc and Kp); Le Chatelier’s principle; ionic equilibria — ionisation of weak acids and bases; pH calculations; buffer solutions; Henderson–Hasselbalch equation; solubility product; common ion effect; hydrolysis of salts.

Groups 13–18: Preparation and properties of compounds — oxides, chlorides, hydrides of B, Al, Si, P, S, Cl; phosphorus allotropes; sulphur allotropes; oxoacids of S and P; nitrogen oxides and oxoacids; inter-halogen compounds; noble gas compounds (XeF₂, XeF₄); Boron hydrides (diborane); silicones and silicates.

Alkanes — free radical halogenation; Alkenes — addition reactions (HX, H₂O, H₂, X₂, HOX, O₃), Markovnikov rule, anti-Markovnikov rule; Alkynes — acidic character, addition reactions; Benzene and Aromatic Chemistry — EAS (nitration, sulfonation, halogenation, Friedel–Crafts), directing effects, aromaticity (Hückel rule).

Aldehydes and Ketones: nucleophilic addition — HCN, RMgX, LiAlH₄, NaBH₄; condensation reactions — aldol, Cannizzaro; oxidation (Tollens’, Fehling’s, Benedict’s); reactions with NH₂OH, PhNHNH₂, 2,4-DNP, semicarbazide; haloform reaction; Clemmensen reduction; Wolff–Kishner reduction. Carboxylic Acids and Derivatives: preparation; reactions — esterification, decarboxylation; acyl chlorides, anhydrides, esters, amides; Hell–Volhard–Zelinsky reaction.

Complex Numbers: Algebra of complex numbers; Argand plane; modulus and argument; triangle inequality; cube roots of unity; de Moivre’s theorem; nth roots; geometric interpretations. Quadratic Equations: Equations over real numbers; nature of roots; sum and product of roots; formation of equations; Descartes’ rule. Sequences and Series: AP — nth term, sum; GP — nth term, sum to infinity; AM–GM–HM inequalities; infinite GP; arithmetic-geometric series. Permutations and Combinations: Fundamental counting principle; permutations of n objects; combinations; circular permutations; distribution of objects into groups. Binomial Theorem: Positive integer index — general term, middle term, term independent of x; properties of binomial coefficients.

Trigonometric functions and identities; addition, subtraction, product-to-sum and sum-to-product formulae; multiple and sub-multiple angles; inverse trigonometric functions — domain, range, properties; general solutions of trigonometric equations; properties of triangles — sine rule, cosine rule, area, circumradius, inradius; heights and distances.

Straight Lines: Distance formula; section formula; area of triangle; collinearity; different forms of line equation; angle between lines; distance from a point; locus problems. Circles: Standard and general form; family of circles; radical axis; common tangents; orthogonal circles. Conics: Parabola (y² = 4ax and variants) — focus, directrix, tangent, normal, chord of contact; Ellipse — foci, directrices, eccentricity, tangent, normal; Hyperbola — foci, directrices, conjugate, rectangular, asymptotes, tangent.

Real-valued functions — domain and range; limits (algebraic, trigonometric, exponential, logarithmic); L’Hôpital’s rule; continuity — intermediate value theorem; differentiability; differentiation — product, quotient, chain rule; higher-order derivatives; implicit and parametric differentiation; logarithmic differentiation; Leibniz theorem; applications — Rolle’s theorem, LMVT, increasing/decreasing functions, tangent and normal, maxima and minima (first and second derivative tests); rate of change.

Indefinite integrals — standard forms, substitution, integration by parts, partial fractions; definite integrals — fundamental theorem, properties (symmetry, periodicity, limits), Leibniz rule; applications — area under curves, area between curves; differential equations — order and degree, variable separable, homogeneous equations, linear first-order ODEs, solution by integrating factor.

Vectors: Types; addition and subtraction; scalar and vector products; scalar triple product — volume, coplanarity; vector triple product; projection; angle between vectors. 3D Geometry: Direction cosines and direction ratios; equation of a line in space — Cartesian and vector forms; angle between two lines; shortest distance between skew lines; equation of a plane — vector, Cartesian, intercept forms; angle between planes; distance of a point from a plane; line–plane intersection.