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

Units and dimensions; dimensional analysis and checking equations; least count; significant figures; methods of measurement and error analysis (absolute, relative, percentage error; propagation in sum, difference, product, quotient). Experiments: Vernier callipers; screw gauge; spherometer; simple pendulum (determining g); Young’s modulus by Searle’s method; surface tension by capillary rise; Stokes’ method for viscosity; resonance column for speed of sound; metre bridge and post-office box; prism refractive index; focal length of concave and convex lenses.

Kinematics: Motion in 1D and 2D; projectile motion; circular motion; relative motion.
Newton’s Laws: Conservation of momentum; friction (static and kinetic); pseudo-forces; circular motion dynamics.
Work, Energy, Power: Work-energy theorem; potential energy; elastic and inelastic collisions; conservation of energy.
Systems of Particles: Centre of mass and its motion; impulse; rigid body rotation; moment of inertia (standard shapes); torque; angular momentum; rolling without slipping.
Gravitation: Kepler’s laws; Newton’s law; gravitational field and potential; escape velocity; orbital velocity; geostationary satellites.
Properties of Matter: Hooke’s law; Young’s modulus; pressure in static fluids; Pascal’s law; Archimedes’ principle; Bernoulli’s theorem; viscosity; Stokes’ law; terminal velocity; surface tension; capillary rise.
SHM: Spring-mass system; simple pendulum; energy in SHM; damped and forced oscillations; resonance.
Waves: Progressive and standing waves; superposition; beats; strings and air columns; Doppler effect for sound.

Thermal expansion of solids, liquids, and gases; calorimetry and latent heat; kinetic theory of gases (rms speed, equipartition of energy, mean free path); ideal gas law; deviation from ideal behaviour; zeroth, first, and second laws of thermodynamics; Carnot cycle and efficiency; entropy (conceptual); heat transfer — conduction, convection, and 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, spherical, and cylindrical capacitors.
Current Electricity: Ohm’s law; Kirchhoff’s laws; Wheatstone bridge; heating effect; EMF and internal resistance; RC transient circuits.
Magnetism: Biot-Savart law; Ampere’s circuital law; force on moving charge (Lorentz force); Hall effect; torque on magnetic dipole; para, dia, and ferromagnetism; moving coil galvanometer.
Electromagnetic Induction and AC: Faraday’s law; Lenz’s law; motional EMF; self and mutual inductance; energy in inductor; AC circuits (R, L, C series); phasor diagrams; RLC resonance; power factor; transformers.
EM Waves: Nature and properties of EM waves; spectrum from radio waves to gamma rays (conceptual).

Ray (Geometrical) Optics: Reflection and refraction at plane and curved surfaces; mirror and lens formulae; power and combination of lenses; total internal reflection; prism — deviation and dispersion; compound microscope; astronomical telescope.
Wave Optics: Huygens’ principle; Young’s double-slit experiment; interference conditions; single-slit diffraction; Rayleigh criterion for resolving power; polarisation — Malus’s law and Brewster’s angle.

Dual Nature of Matter: Photoelectric effect; Einstein’s photoelectric equation; de Broglie wavelength; Davisson-Germer experiment.
Atomic Structure: Bohr model of hydrogen; energy levels; spectral series of hydrogen; characteristic X-rays and Bremsstrahlung; Moseley’s law (conceptual).
Nuclear Physics: Composition and size of nucleus; mass defect; binding energy per nucleon curve; radioactivity — alpha, beta, and gamma decay; radioactive decay law; half-life; nuclear fission; nuclear fusion; chain reaction (conceptual).

Mole concept; empirical and molecular formulae; stoichiometry of chemical reactions; limiting reagent; percentage yield; concentration terms — molarity, molality, normality, mole fraction; calculations involving moles, mass, and volume in solution.

Gases: Ideal gas laws; kinetic molecular theory; rms, average, and most probable speeds; van der Waals equation; Dalton’s law of partial pressures.
Liquids: Vapour pressure; surface tension; viscosity.
Solids: Crystal structures (BCC, FCC, HCP); unit cell calculations; packing efficiency; coordination number; point defects (Schottky, Frenkel); band theory (qualitative).

Atomic Structure: Bohr model and its limitations; quantum numbers; orbital shapes (s, p, d); electronic configuration; Aufbau principle; Pauli exclusion; Hund’s rule.
Chemical Bonding: Ionic, covalent, and metallic bonds; VSEPR theory; hybridisation; MO theory for homonuclear diatomics (H₂ to Ne₂); resonance; dipole moment; hydrogen bonding; Fajan’s rules.

First law of thermodynamics; internal energy and enthalpy; Hess’s law; bond dissociation energy; lattice energy; Born-Haber cycle; Gibbs free energy; entropy; second law; criteria for spontaneity; relationship between ΔG, ΔH, and ΔS.

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; buffer solutions; Henderson-Hasselbalch equation; solubility product (Ksp); common ion effect; salt hydrolysis.

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

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

Types of solutions; Raoult’s law; colligative properties — elevation of boiling point, depression of freezing point, osmotic pressure, relative lowering of vapour pressure; van’t Hoff factor (for electrolytes).

Adsorption (physisorption vs chemisorption); Freundlich isotherm; catalysis (heterogeneous and homogeneous); colloids and emulsions; Tyndall effect; Brownian motion; coagulation; Hardy-Schulze rule.

Occurrence and concentration of ores (levigation, magnetic separation, froth flotation, leaching); extraction methods (roasting, calcination, smelting, reduction); electrolytic refining; zone refining; extraction of iron, copper, zinc, and silver; Ellingham diagram.

s-block: Alkali metals — properties; anomalous behaviour of Li; alkaline earth metals; key compounds (NaOH, Na₂CO₃, NaHCO₃, CaO, Ca(OH)₂); diagonal relationships.
p-block (Groups 13–18): Boron and silicon compounds; allotropes of carbon; nitrogen (NH₃, HNO₃, H₃PO₄, P₄O₁₀); oxygen and sulphur (ozone, H₂O₂, H₂SO₄, SO₃); halogens and their compounds; noble gas chemistry (XeF₂, XeF₄, XeOF₄).

Electronic configurations (3d series); variable oxidation states; magnetic properties; colour; catalytic activity; complex formation; important compounds — KMnO₄ (preparation and reactions) and K₂Cr₂O₇ (preparation and reactions); lanthanide contraction.

IUPAC nomenclature; types of isomerism (ionisation, linkage, coordination, geometric, optical); Valence Bond Theory (VBT) — inner and outer orbital complexes; Crystal Field Theory (CFT) — crystal field splitting, colour, and magnetic properties; stability constants; applications in qualitative analysis and biology.

Identification of cations (Groups I–VI including Ag⁺, Pb²⁺, Hg²⁺, Cu²⁺, Fe³⁺, Al³⁺, Zn²⁺, Ba²⁺, Ca²⁺, Mg²⁺, Na⁺, K⁺, NH₄⁺) and anions (CO₃²⁻, Cl⁻, Br⁻, I⁻, NO₃⁻, SO₄²⁻, PO₄³⁻, S²⁻, CH₃COO⁻) using standard reagents; confirmatory tests for each.

Hybridisation; IUPAC nomenclature; structural and stereoisomerism (R/S, E/Z); resonance and mesomeric effect; inductive effect; hyperconjugation; reactive intermediates (carbocations, carbanions, free radicals, carbenes); SN1, SN2, E1, E2 mechanisms; Markovnikov’s and anti-Markovnikov’s rule.

Alkanes: Combustion; free radical halogenation (selectivity and reactivity); pyrolysis; conformational analysis of ethane.
Alkenes: Preparation via elimination; reactions (addition of H₂, HX, H₂O); ozonolysis; oxidation; hydroboration-oxidation; Diels-Alder reaction (for dienes).
Alkynes: Acidic character; addition reactions; Lindlar’s catalyst.

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

SN1 and SN2 (stereochemistry and conditions); E1 and E2; Grignard reagent preparation and reactions; nucleophilic aromatic substitution; polyhalogen compounds (CHCl₃, CCl₄, DDT — preparation and properties).

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.

Aldehydes and Ketones: Preparation; nucleophilic addition reactions; Aldol condensation; Cannizzaro reaction; Tollens’, Fehling’s, and Benedict’s tests; Clemmensen and Wolff-Kishner reductions; Beckmann rearrangement.
Carboxylic Acids: Preparation and acidity; Fischer esterification; saponification; reactions of acid derivatives (acyl chlorides, anhydrides, esters, amides); HVZ reaction; decarboxylation.

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

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

Complex Numbers: Polar form; modulus and argument; triangle inequality; 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; sum of finite and infinite series; AM-GM inequalities.
Logarithms: Laws; change of base; equations and inequalities involving logarithms.
Permutations and Combinations: Fundamental counting principle; circular permutations; selections with and without repetition.
Binomial Theorem: General and middle term; binomial coefficients and their properties.
Matrices and Determinants: Types; arithmetic operations; inverse; Cramer’s rule; rank; consistency of linear systems.
Statistics (Added in 2023): Mean; weighted mean; standard deviation; variance — properties and calculations.

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.
Note: Solution of Triangles and Harmonic Progression were removed from the JEE Advanced syllabus in 2023 and do not appear in 2027.

Straight Lines: Various forms; distance between parallel lines; angle between lines; concurrency; locus problems.
Circles: Standard and general forms; tangent and normal; power of a point; radical axis; family of circles.
Parabola: Standard equations; vertex, focus, directrix; tangent and normal; chord of contact.
Ellipse: Standard equation; major and minor axes; eccentricity; tangent and normal; reflective property.
Hyperbola: Standard equation; asymptotes; tangent and normal; rectangular hyperbola.
Pair of Straight 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 their shortest distance; equation of planes — normal form, intercept form, 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 and differentiability; rules of differentiation (product, quotient, chain); implicit and parametric differentiation; higher-order derivatives; applications — tangent and normal, monotonicity, maxima and minima (first and second derivative tests), concavity and inflection points; Rolle’s theorem; Lagrange’s MVT; Taylor and Maclaurin series (up to a few terms).

Standard integration formulae; integration by substitution; integration by parts; integration by 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, scalar multiplication; dot product and its geometric applications (projection, angle); cross product and its applications (area of triangle and parallelogram); scalar triple product (volume of parallelepiped); vector triple product; applications in 3D geometry — coplanarity, distance, angle between lines and planes.

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