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. Experiments: Vernier calipers; screw gauge; spherometer; simple pendulum (determining g); Young’s modulus by Searle’s method; surface tension by capillary rise; Stokes’ method for coefficient of viscosity; resonance column for speed of sound; metre bridge and post-office box; prism refraction index; focal length of concave and convex lenses.

Kinematics: Motion in 1D and 2D; projectile motion; relative motion. Newton’s Laws: Conservation of momentum; friction; circular motion. Work, Energy, Power: Work-energy theorem; conservation of energy. Systems of Particles: Centre of mass; collisions (elastic and inelastic); coefficient of restitution. Rotation: Moment of inertia; torque; angular momentum; rolling without slipping. Gravitation: Kepler’s laws; gravitational potential and field; orbital and escape velocity; satellite motion. SHM: Spring-mass system; simple pendulum; energy in SHM; damped oscillations. Fluids: Archimedes’ principle; Bernoulli’s theorem; viscosity (Stokes’ law); surface tension and capillarity. Waves: Progressive and standing waves; superposition; resonance; Doppler effect; beats.

Thermal expansion of solids, liquids, and gases; calorimetry and latent heat; kinetic theory of gases; Maxwell’s speed distribution; equipartition theorem; mean free path; zeroth, first, and second laws of thermodynamics; Carnot engine; entropy (conceptual); heat transfer — conduction, convection, radiation; Newton’s law of cooling; blackbody radiation; Stefan-Boltzmann law; Wien’s displacement law.

Electrostatics: Coulomb’s law; electric field lines; Gauss’s law; electric potential; energy stored in capacitors; dielectrics; parallel plate capacitor. Current Electricity: Ohm’s law; Kirchhoff’s laws; Wheatstone bridge; metre bridge; heating effect; EMF and internal resistance. Magnetism: Biot-Savart law; Ampere’s circuital law; force on moving charge; torque on magnetic dipole; paramagnetic, diamagnetic, and ferromagnetic materials. Electromagnetic Induction: Faraday’s law; Lenz’s law; motional EMF; mutual and self-inductance; energy stored in inductor. AC Circuits: RMS and peak values; phasor diagrams; RLC series resonance; power factor; transformers. EM Waves: Nature, properties, and spectrum (conceptual overview).

Ray Optics: Reflection and refraction at plane and curved surfaces; mirror and lens formulae; power of lenses; total internal reflection; prism dispersion; compound microscope; telescope. Wave Optics: Huygens’ principle; Young’s double-slit experiment; interference; single-slit diffraction; resolving power of optical instruments; polarisation — Malus’s law and Brewster’s angle.

Dual Nature: Photoelectric effect; de Broglie wavelength; Davisson-Germer experiment. Atomic Structure: Bohr model of hydrogen; energy levels; spectral series; hydrogen spectrum. Nuclear Physics: Composition and size of nucleus; mass defect; binding energy; radioactivity (alpha, beta, gamma); half-life; decay law; nuclear fission and fusion; binding energy per nucleon curve. X-rays: Characteristic and continuous X-ray spectra; Moseley’s law (conceptual).

Mole concept; empirical and molecular formulae; stoichiometry of chemical reactions; limiting reagent; percentage yield; concentration terms — molarity, molality, normality, mole fraction.

Gases: Ideal gas laws; kinetic molecular theory; deviation from ideal behaviour; Van der Waals equation; Dalton’s law. Liquids: Vapour pressure; surface tension; viscosity. Solids: Crystal structures (BCC, FCC, HCP); unit cell calculations; Bragg’s law; point defects; band theory (qualitative).

Bohr model and its limitations; quantum mechanical model (qualitative); orbitals and quantum numbers; electronic configuration; Aufbau principle; Hund’s rule; Pauli exclusion principle.

Ionic, covalent, and metallic bonds; VSEPR theory; molecular orbital theory (homonuclear diatomics); hybridisation; bond parameters; Fajan’s rules; resonance; dipole moment; hydrogen bonding.

First law; internal energy; enthalpy; Hess’s law; bond dissociation energy; lattice energy; Gibbs free energy; entropy; second law; criteria for spontaneity.

Law of mass action; Kc and Kp; relationship between Kc and Kp; Le Chatelier’s principle; factors affecting equilibrium; degree of dissociation calculations.

Strong and weak acids and bases; pH and pOH calculations; buffer solutions; Henderson-Hasselbalch equation; solubility product (Ksp); common ion effect; salt hydrolysis.

Galvanic cells; standard electrode potential; Nernst equation; cell EMF; electrolysis (Faraday’s laws); conductance and equivalent conductance; Kohlrausch’s law; batteries and fuel cells (conceptual).

Rate of reaction; rate laws; order and molecularity; integrated rate equations (zero, first, and second order); half-life expressions; Arrhenius equation; activation energy; reaction mechanisms and elementary steps; steady-state approximation.

Solutions: Types; Raoult’s law; colligative properties — elevation of boiling point, depression of freezing point, osmotic pressure, relative lowering of vapour pressure; van’t Hoff factor. Surface Chemistry: Adsorption (physisorption vs chemisorption); Freundlich isotherm; catalysis; colloids and emulsions; Tyndall effect; Brownian motion; coagulation.

Occurrence of metals; concentration of ores — levigation, magnetic separation, froth flotation, leaching; extraction — roasting, calcination, smelting, reduction; electrolytic refining; zone refining; Ellingham diagram and its significance.

s-block: Alkali metals (Li to Cs); alkaline earth metals; key compounds (NaOH, Na₂CO₃, NaHCO₃, CaO, Ca(OH)₂); diagonal relationship (Li/Mg, Be/Al). p-block (Groups 13–18): Boron and silicon; allotropes of carbon; nitrogen family — N₂, phosphorus, NH₃, HNO₃, H₃PO₄; oxygen family — ozone, H₂O₂, H₂SO₄; halogens and their compounds; noble gas chemistry (XeF₂, XeF₄, XeOF₄).

Electronic configurations; variable oxidation states; magnetic properties; colour; catalytic activity; complex formation; important compounds — KMnO₄, K₂Cr₂O₇ (preparation and reactions); lanthanide contraction; comparison between 3d, 4d, and 5d transition metals.

IUPAC nomenclature; types of isomerism — structural (ionisation, linkage, coordination) and stereoisomerism (geometric and optical); Valence Bond Theory (VBT); Crystal Field Theory (CFT) — crystal field splitting, colour, and magnetic properties; stability constants; applications in analytical chemistry.

General properties of lanthanides; lanthanide contraction and its consequences; oxidation states; comparison of lanthanides and actinides; nuclear applications of actinides (conceptual).

Detection of cations (Groups I–VI): Pb²⁺, Ag⁺, Hg²⁺, Bi³⁺, Cu²⁺, Cd²⁺, As³⁺, Sb³⁺, Sn²⁺, Fe³⁺, Al³⁺, Cr³⁺, Mn²⁺, Zn²⁺, Ni²⁺, Co²⁺, Ba²⁺, Sr²⁺, Ca²⁺, Mg²⁺, Na⁺, K⁺, NH₄⁺. Detection of anions: CO₃²⁻, SO₃²⁻, SO₄²⁻, NO₂⁻, NO₃⁻, Cl⁻, Br⁻, I⁻, S²⁻, PO₄³⁻, CH₃COO⁻; confirmatory tests for each.

Hybridisation; IUPAC nomenclature; structural and stereoisomerism — R/S configuration and E/Z nomenclature; resonance and mesomeric effect; inductive effect; hyperconjugation; reactive intermediates — carbocations, carbanions, free radicals, carbenes, nitrenes.

Preparation and properties of alkanes; conformational analysis of ethane; chair and boat conformations of cyclohexane; free radical halogenation (selectivity and reactivity); combustion reactions.

Preparation of alkenes (elimination reactions); Markovnikov’s rule; anti-Markovnikov (peroxide effect); ozonolysis; hydration; hydrohalogenation; hydroboration-oxidation. Alkynes — acidity of terminal alkynes; addition reactions. Dienes — Diels-Alder reaction.

Benzene and aromaticity (Hückel’s rule); electrophilic aromatic substitution (EAS) — halogenation, nitration, sulfonation, Friedel-Crafts alkylation and acylation; directive effects (ortho-/para- vs meta-directing); polynuclear aromatic hydrocarbons — naphthalene and phenanthrene (general properties).

SN1 and SN2 mechanisms (stereochemistry and conditions); E1 and E2 elimination reactions; Grignard reagent preparation and reactions; nucleophilic aromatic substitution; polyhalogen compounds.

Preparation and reactions of primary, secondary, and tertiary alcohols; Lucas test; acidic character of phenol; Reimer-Tiemann reaction; Kolbe’s synthesis; Claisen rearrangement; Williamson synthesis of ethers; ring-opening of epoxides.

Preparation; nucleophilic addition reactions; aldol condensation; Cannizzaro reaction; Tollens’ test; Benedict’s test; Fehling’s test; Clemmensen reduction; Wolff-Kishner reduction; Beckmann rearrangement.

Preparation and acidity of carboxylic acids; Fischer esterification; saponification; reactions of acyl chlorides, anhydrides, esters, and amides; Hell-Volhard-Zelinsky (HVZ) reaction; decarboxylation.

Classification and basicity of amines; Gabriel synthesis; Hoffmann bromamide reaction; diazotisation; Sandmeyer reactions; coupling reactions (azo dyes — structure only); Curtius rearrangement.

Carbohydrates: Classification (mono, di, polysaccharides); Haworth projections; mutarotation; reactions (oxidation, reduction, osazone formation). Amino acids and proteins: Essential amino acids; peptide bond; isoelectric point; primary and secondary protein structures (basic). Polymers: Addition and condensation polymerisation; Nylon-6,6, Nylon-6, Bakelite, natural and synthetic rubber; biodegradable polymers.

Complex Numbers: Polar form; modulus and argument; de Moivre’s theorem; nth roots of unity; geometry on the Argand plane. Quadratic Equations: Discriminant; nature of roots; Vieta’s formulae; transformation of equations. Sequences and Series: AP, GP, HP; sum of finite and infinite series; AM-GM-HM inequalities. Logarithms: Laws; change of base; equations and inequalities. Permutations and Combinations: Fundamental counting principle; circular permutations; selections with and without repetition. Binomial Theorem: General and middle term; binomial coefficients; applications. Matrices and Determinants: Types; arithmetic operations; transpose; inverse; Cramer’s rule; rank; applications in linear systems.

Trigonometric ratios and fundamental identities; compound angle formulae; multiple and sub-multiple angles; sum-to-product and product-to-sum identities; trigonometric equations (general solutions); inverse trigonometric functions — domain, range, principal values, and key identities; properties of triangles — sine rule, cosine rule, area formula; circumradius, inradius, and exradii.

Straight Lines: Various forms; distance between parallel lines; angle between two lines; concurrency. Circles: Standard and general forms; tangent and normal; power of a point; radical axis; family of circles. Parabola: Standard equation; vertex, focus, directrix; tangent and normal; chord of contact; parametric equations. Ellipse: Standard equation; major and minor axes; eccentricity; tangent and normal; reflective property. Hyperbola: Standard equation; asymptotes; tangent and normal; rectangular hyperbola. Pair of Lines: Condition for pair; angle bisectors.

Distance formula; section formula; direction cosines and direction ratios; equation of a straight line in 3D (parametric and symmetric forms); angle between two lines; skew lines and shortest distance; planes — normal form, intercept form, equation through three points; angle between two planes; distance from a point to a plane; line of intersection of two planes.

Functions (domain, range, even/odd/periodic); limits; L’Hôpital’s rule; continuity; differentiability; rules of differentiation — product, quotient, chain; implicit and parametric differentiation; higher-order derivatives; applications — tangent and normal, monotonicity, maxima and minima, concavity and inflection points; Rolle’s theorem; Lagrange’s MVT; Cauchy’s MVT; Taylor and Maclaurin series (up to a few terms).

Standard integration formulae; integration by substitution; integration by parts; partial fractions; reduction formulae; definite integrals — fundamental theorem, properties (symmetry, periodicity, limits); limit of a sum; applications — area under curves, area between two curves; first-order differential equations — variable separable, homogeneous, linear (integrating factor method).

Types of vectors; addition, subtraction, and scalar multiplication; dot product and its geometric applications; cross product and its geometric applications; scalar triple product (volume of parallelepiped); vector triple product; applications in 3D geometry — coplanarity, distance, angle between lines and planes.

Addition theorem; multiplication theorem; conditional probability; Bayes’ theorem; independent events; discrete random variables; probability distributions (mean and variance); Bernoulli trials; binomial distribution — mean, variance, and mode.