JEE Advanced Syllabus 2027: Unchanged from 2026, Subject Wise Topics and PDF Download

Units and dimensions; dimensional analysis; least count; significant figures; Methods of measurement — vernier callipers, screw gauge, stopwatch; Errors in measurement; Experiments: Young’s modulus (Searle’s apparatus), surface tension (capillary rise and drop), specific heat (mixing calorimeter), speed of sound (resonance column), coefficient of viscosity (Stokes’ law), metre bridge, potentiometer (EMF and internal resistance), p-n junction diode characteristics, Zener diode characteristics

Kinematics in 1D and 2D; Projectile motion; Relative motion; Newton’s laws of motion; Static and kinetic friction; Work, energy, power; Conservation of momentum and energy; Elastic and inelastic collisions; System of particles and centre of mass; Rigid body dynamics — moment of inertia, angular momentum, torque, rolling without slipping; Universal gravitation; Orbital velocity; Escape velocity; Satellite motion; Kepler’s laws; Simple harmonic motion; Spring-mass system; Resonance; Fluid statics — pressure, Archimedes’ principle; Fluid dynamics — continuity equation, Bernoulli’s theorem; Surface tension — capillarity, excess pressure in drops and bubbles; Viscosity — Stokes’ law, Poiseuille’s formula

Thermal expansion — linear, area, volume; Specific heat; Calorimetry; Latent heat; Heat conduction — Fourier’s law, thermal resistance; Convection and radiation; Stefan-Boltzmann law; Newton’s law of cooling; Kinetic theory of gases — pressure, temperature, RMS speed, mean free path; Equipartition of energy; First and second laws of thermodynamics; Isothermal, adiabatic, isochoric, isobaric processes; Carnot cycle and efficiency; Entropy (qualitative concept)

Coulomb’s law; Electric field and potential; Gauss’s law; Capacitance; Dielectrics; Energy stored in a capacitor; Ohm’s law; Kirchhoff’s laws; Wheatstone bridge; RC transient circuits; Biot-Savart law; Ampere’s law; Forces on charged particles and current-carrying conductors; Cyclotron motion; Electromagnetic induction; Faraday’s and Lenz’s laws; Mutual and self-inductance; AC circuits — LR, LC, LCR; Resonance in LCR circuits; Power factor; Ideal transformer

Maxwell’s equations (qualitative statement only); Displacement current (concept); Electromagnetic spectrum — radio, microwave, infrared, visible, UV, X-ray, gamma; Properties of EM waves; Speed of light in vacuum

Ray Optics: Laws of reflection and refraction; Total internal reflection; Lens and mirror formulae; Thin lens combinations; Power of a lens; Dispersion by a prism; Minimum deviation condition; Optical instruments — compound microscope, astronomical telescope; Wave Optics: Huygens’ principle; Interference — Young’s double-slit experiment, fringe width, coherence; Thin film interference; Diffraction — single slit, resolving power; Polarization — Malus’s law, Brewster’s angle

Photoelectric effect; de Broglie wavelength; Davisson-Germer experiment; Bohr model of hydrogen atom; Hydrogen spectrum and energy levels; Nuclear structure — nuclear forces, binding energy, mass defect; Radioactivity — alpha, beta, gamma decay; Half-life; Radioactive decay law; Nuclear fission and fusion; X-rays — production, properties, Moseley’s law; Semiconductors — p-n junction; Forward and reverse bias; Zener diode as voltage regulator; Diode as rectifier; npn and pnp transistors — common emitter characteristics (qualitative); Basic logic gates

SI units; Significant figures; Molarity, molality, mole fraction; Stoichiometry; Equivalent concept; Limiting reagent; Concentration interconversions; Balancing redox reactions by oxidation number and ion-electron methods

Ideal gas equation; Kinetic theory of gases; Van der Waals equation; Compressibility factor; Liquefaction of gases; Liquid state — surface tension and viscosity (concept); Solid state — crystal systems, close-packing (hcp, ccp), unit cell calculations, Schottky and Frenkel defects

Bohr model; Wave-particle duality; de Broglie’s equation; Heisenberg uncertainty principle; Quantum numbers; Shapes of s, p, d orbitals; Electronic configuration; Aufbau principle, Pauli exclusion principle, Hund’s rule

Ionic and covalent bonds; Lewis structures; VSEPR theory; Hybridization (sp, sp², sp³, sp³d, sp³d²); Molecular orbital theory — bond order, magnetic properties for diatomic molecules; Hydrogen bonding; Dipole moment; Resonance; Formal charge

First law of thermodynamics; Internal energy and enthalpy; Hess’s law; Born-Haber cycle; Bond enthalpy; Entropy; Gibbs free energy; Spontaneity criteria; Second and third laws of thermodynamics

Law of mass action; Kp and Kc; Le Chatelier’s principle; Ionic equilibrium; pH scale; Buffer solutions; Henderson-Hasselbalch equation; Solubility product (Ksp); Common ion effect

Galvanic and electrolytic cells; Standard electrode potential; Nernst equation; EMF calculation; Faraday’s laws of electrolysis; Kohlrausch’s law of independent migration of ions; Corrosion

Rate of reaction; Order and molecularity; Integrated rate laws (zero, first, second order); Half-life; Arrhenius equation; Activation energy; Catalysis — homogeneous, heterogeneous, enzyme catalysis

Types of solutions; Raoult’s law; Vapour pressure lowering; Elevation of boiling point; Depression of freezing point; Osmotic pressure; Van’t Hoff factor; Abnormal molar mass

Adsorption — physical and chemical; Langmuir isotherm; Freundlich isotherm; Colloids — types, preparation, properties; Tyndall effect; Brownian motion; Coagulation; Emulsions; Catalysis mechanisms

Carbon, nitrogen, oxygen, sulphur; Phosphorus allotropes; Metallurgy — ore concentration, reduction (chemical, electrolytic, thermite), refining (electrolytic, zone refining, vapour phase); Ores of Fe, Cu, Ag, Au, Zn, Pb, Al; s-block and p-block element preparations (NaOH, Na₂CO₃, HCl, H₂SO₄, HNO₃, H₃PO₄, NH₃, SO₂, SO₃)

Groups I–VI cation analysis — Ag⁺, Pb²⁺, Hg²⁺, Cu²⁺, Cd²⁺, Bi³⁺, Al³⁺, Fe³⁺, Cr³⁺, Co²⁺, Ni²⁺, Mn²⁺, Zn²⁺, Ba²⁺, Sr²⁺, Ca²⁺, Mg²⁺, Na⁺, K⁺, NH₄⁺; Anion analysis — carbonate, halide, nitrate, sulphate, sulphide, phosphate; Group reagents and their confirmatory reactions

General properties of 3d elements; Variable oxidation states; Colour; Magnetic properties; Catalytic behaviour; Interstitial compounds; Alloy formation; Important compounds — K₂Cr₂O₇, KMnO₄, FeSO₄·7H₂O, CuSO₄; Lanthanoids and actinoids — general properties and lanthanoid contraction

Werner’s theory; IUPAC nomenclature; Ligands — monodentate, polydentate, ambidentate; Coordination number; Isomerism — geometric, optical, linkage, ionisation, hydrate; Valence Bond Theory (VBT); Crystal Field Theory (CFT) — d-orbital splitting, CFSE; Colour and magnetic properties of complexes

Hybridization and shapes of molecules; Structural and stereoisomerism; Optical isomerism — enantiomers, diastereomers, R/S configuration; Geometric isomerism (E/Z); Electronic effects — inductive, electromeric, resonance, hyperconjugation; Reaction intermediates — carbocations, carbanions, free radicals, carbenes, nitrenes; Nucleophilic and electrophilic substitution; Addition and elimination reactions; Acid-base concepts in organic chemistry

Alkanes — free radical halogenation; Alkenes — preparation (dehydrohalogenation, dehydration), additions (Markovnikov, anti-Markovnikov, hydration, ozonolysis, epoxidation); Alkynes — acidic nature, addition reactions; Benzene — aromaticity (Hückel rule), EAS (halogenation, nitration, sulfonation, Friedel-Crafts alkylation/acylation); Directive influence of substituents; Side-chain oxidation

Preparation of alkyl and aryl halides; SN1 and SN2 mechanisms; Elimination (E1, E2); Grignard reagents and their reactions; Polyhalogen compounds — chloroform, iodoform; Haloarenes — nucleophilic aromatic substitution

Alcohols — preparation, oxidation, esterification, Lucas test; Phenols — preparation, acidity, EAS reactions; Ethers — preparation, cleavage; Aldehydes and Ketones — preparation, nucleophilic addition (cyanohydrin, bisulphite, Grignard), aldol condensation, Cannizzaro reaction, Clemmensen reduction, Wolff-Kishner reduction; Carboxylic Acids — preparation, reactions (decarboxylation, Hell-Volhard-Zelinsky); Acid Derivatives — acid chloride, anhydride, ester, amide preparations and interconversions

Amines — classification, basicity, preparation, reactions; Gabriel phthalimide synthesis; Diazonium salts — Sandmeyer and Balz-Schiemann reactions; Azo coupling; Nitrobenzene reduction products; Cyanides and isocyanides

Carbohydrates — classification (mono, di, polysaccharides), glucose and fructose structures, osazone formation, Fehling’s test, Tollens’ test; Amino acids — essential and non-essential, zwitterion; Proteins — primary through quaternary structure, denaturation; Enzymes; Nucleic acids — DNA and RNA structure (qualitative); Lipids (qualitative)

Identification of functional groups — unsaturation (bromine water, KMnO₄), aldehydes (Fehling, Tollens, 2,4-DNP), ketones (2,4-DNP), carboxylic acids (NaHCO₃ test), amines (litmus, HCl, acetylation test); Calculation of empirical and molecular formula from combustion data

Complex numbers — Argand diagram, modulus, argument, polar form, De Moivre’s theorem, cube roots of unity, nth roots; Quadratic equations — nature of roots, sum and product of roots, conditions for common roots; Arithmetic, geometric, and harmonic progressions; Sum of series; Logarithms; Permutations and combinations; Binomial theorem — positive integer index, general term, middle term, binomial coefficients; Matrices — algebra, transpose, adjoint, inverse, rank; Determinants — properties, Cramer’s rule; Systems of linear equations — consistency conditions; Probability — classical and axiomatic definition, conditional probability, Bayes’ theorem, independent events; Binomial and Poisson distributions (mean and variance)

Trigonometric functions of compound angles; Addition formulae; Product-to-sum and sum-to-product identities; Multiple and sub-multiple angles; Trigonometric equations — general solutions; Properties of triangles — sine rule, cosine rule, area formulae, circumradius, inradius; Inverse trigonometric functions — domain, range, principal values, identities

Cartesian coordinates; Straight lines — angle between lines, distance from a point, concurrency, family of lines; Circles — equation, tangent, chord of contact, family of circles, radical axis; Parabola — standard forms, tangent, normal, focal chord; Ellipse — standard form, tangent, normal, focal chord, eccentricity, auxiliary circle; Hyperbola — standard form, tangent, asymptotes, rectangular hyperbola; Locus problems

Direction cosines and direction ratios; Equation of a line in space (symmetric and parametric forms); Equation of a plane (normal form, intercept form, distance form); Angle between two planes; Angle between a line and a plane; Distance from a point to a plane; Skew lines — shortest distance; Coplanar lines

Functions — domain, range, even/odd, periodic, composition, inverse; Limits — standard forms, L’Hôpital’s rule, sandwich theorem; Continuity — definition, types of discontinuities; Differentiability — relationship with continuity; Derivatives of standard functions; Chain rule; Implicit and parametric differentiation; Higher-order derivatives; Rolle’s theorem and Lagrange’s Mean Value Theorem; Tangents and normals; Monotonicity; Maxima and minima — first and second derivative tests; Rate of change problems

Indefinite integrals — substitution, integration by parts, partial fractions, reduction formulae; Definite integrals — fundamental theorem, properties (symmetry, periodicity, parity), Leibniz rule; Area under curves — between two curves, symmetric areas; Differential equations — order and degree; Variable-separable; Homogeneous equations; Linear first-order equations (integrating factor method)

Addition, subtraction, scalar multiplication; Dot product (scalar product) and applications; Cross product (vector product) and applications; Scalar triple product — volume of parallelepiped; Vector triple product; Area of triangle and parallelogram; Angle between vectors; Projection of one vector on another