HPCET Syllabus 2027: Unchanged from 2026, Subject-Wise Topics and PDF Download

Units and dimensions, dimensional analysis, significant figures, errors in measurement, least count, vernier calipers, screw gauge.

Motion in a straight line, motion in a plane, projectile motion, relative velocity, uniform circular motion.

Newton’s laws, inertia, friction (static and kinetic), equilibrium, impulse and momentum, circular motion dynamics.

Work-energy theorem, kinetic and potential energy, conservation of energy, power, elastic and inelastic collisions.

Centre of mass, torque, angular momentum, moment of inertia, rolling motion, theorems of parallel and perpendicular axes.

Kepler’s laws, universal law of gravitation, gravitational potential energy, escape velocity, orbital speed, satellites, variation of g.

Elasticity, stress-strain curve, Hooke’s law, fluid pressure, Archimedes’ principle, viscosity, Bernoulli’s theorem, surface tension, capillarity.

Thermal equilibrium, zeroth law, internal energy, first and second laws, isothermal and adiabatic processes, Carnot engine, heat engines, refrigerators.

Ideal gas equation, kinetic interpretation of temperature, RMS speed, degrees of freedom, law of equipartition of energy, mean free path.

SHM, simple pendulum, damped oscillations, resonance, progressive waves, superposition of waves, beats, standing waves, Doppler effect.

Coulomb’s law, electric field and potential, Gauss’s theorem, capacitors, dielectrics, energy stored in capacitors, Van de Graaff generator.

Ohm’s law, drift velocity, resistivity, temperature dependence, Kirchhoff’s laws, Wheatstone bridge, potentiometer, meter bridge.

Biot-Savart law, Ampere’s law, solenoid, toroid, moving coil galvanometer, magnetism, diamagnetism, paramagnetism, ferromagnetism.

Faraday’s laws, Lenz’s law, self and mutual inductance, AC generators, transformers, LC oscillations, impedance, resonance in AC circuits.

Displacement current, Maxwell’s equations (concept), EM spectrum, properties and uses of EM waves (radio, microwave, infrared, visible, UV, X-ray, gamma).

Reflection, refraction, total internal reflection, lenses and mirrors, optical instruments, wave optics, Young’s double slit experiment, diffraction, polarisation.

Photoelectric effect, Einstein’s equation, de Broglie wavelength, Davisson-Germer experiment, wave-particle duality.

Rutherford model, Bohr model, hydrogen spectrum, nuclear radius, binding energy, radioactivity (alpha, beta, gamma), nuclear fission, nuclear fusion.

Semiconductors, p-n junction, diode characteristics, rectifiers, Zener diode, transistor (biasing, amplifier), logic gates (AND, OR, NOT, NAND, NOR).

Mole concept, molarity, molality, empirical and molecular formulae, stoichiometry, limiting reagent.

Gas laws (Boyle’s, Charles’s, Avogadro’s), ideal gas equation, van der Waals equation, liquid state, surface tension, viscosity.

Bohr model, quantum numbers, orbitals, electronic configurations, Aufbau principle, Hund’s rule, Pauli exclusion principle.

Ionic, covalent, and metallic bonds, VSEPR theory, hybridisation, MO theory (H₂, O₂, N₂), hydrogen bonding.

Enthalpy, Hess’s law, entropy, Gibbs free energy, spontaneity, bond enthalpies, thermodynamic cycles.

Colligative properties, Raoult’s law, elevation in boiling point, depression in freezing point, osmotic pressure, Van’t Hoff factor.

Law of mass action, Kc, Kp, Le Chatelier’s principle, ionic equilibrium, pH, buffer solutions, solubility product.

Oxidation states, balancing redox reactions, electrochemical cells, EMF, Nernst equation, Faraday’s laws, conductance.

Rate laws, rate constant, order of reaction, Arrhenius equation, activation energy, half-life, integrated rate equations.

Adsorption, colloids, emulsions, catalysis, Freundlich adsorption isotherm, Tyndall effect, Brownian motion.

Periodic trends: atomic radius, ionisation energy, electron affinity, electronegativity, valence electrons.

Occurrence of metals, ore concentration methods, reduction processes (roasting, smelting), refining.

Properties of hydrogen, hydrides, alkali metals (Group 1), alkaline earth metals (Group 2), uses and compounds (NaOH, Na₂CO₃, CaO, Ca(OH)₂).

Groups 13–18: boron family, carbon family, nitrogen family, oxygen family, halogens, noble gases, key compounds and reactions.

Transition elements, properties, oxidation states, K₂Cr₂O₇, KMnO₄, lanthanides, actinides.

Werner’s theory, IUPAC nomenclature, isomerism, bonding (VBT, CFT basics), stability constants, applications.

Air, water, and soil pollution; pollutants; ozone depletion; acid rain; green chemistry principles.

Salt analysis, qualitative tests for cations and anions, detection of functional groups, identification reactions.

IUPAC nomenclature, isomerism, inductive and resonance effects, reaction intermediates (carbocations, carbanions, free radicals), types of organic reactions.

Alkanes, alkenes, alkynes; electrophilic addition; Markovnikov’s rule; alkynes (addition and acidic nature); benzene (EAS reactions), aromaticity.

Haloalkanes, haloarenes, nucleophilic substitution (SN1 and SN2), elimination reactions, uses of halogen compounds.

Alcohols, phenols, ethers, aldehydes, ketones, carboxylic acids — preparation, properties, nucleophilic addition, Cannizzaro reaction, aldol condensation.

Amines (aliphatic and aromatic), diazonium salts, cyanides, isocyanides, preparation and reactions.

Addition and condensation polymers, natural and synthetic polymers, rubber, nylon, Bakelite, polyethylene, PVC.

Carbohydrates (monosaccharides, disaccharides, polysaccharides), proteins, enzymes, nucleic acids (DNA, RNA), vitamins.

Drugs and medicines (analgesics, antibiotics, antiseptics), food preservatives, soaps and detergents, artificial sweeteners.

Types of sets, Venn diagrams, relations, domain and range, types of functions, composition, inverse functions.

Argand plane, modulus, argument, polar form, De Moivre’s theorem, roots of complex numbers, discriminant, nature of roots.

Types of matrices, operations, transpose, adjoint, inverse, determinants (up to 3×3), Cramer’s rule, system of linear equations.

Fundamental counting principle, factorial, nPr, nCr, circular permutations, distinguishable permutations.

Principle of mathematical induction, statement verification, sum and divisibility proofs.

Binomial expansion, general term, middle term, greatest term, properties of binomial coefficients.

AP, GP, HP, sum of infinite GP, arithmetic-geometric series, sum of special series (n, n², n³).

Standard limits, L’Hôpital’s rule, continuity at a point, differentiability, chain rule, product/quotient rules, implicit differentiation.

Indefinite integrals (standard forms, substitution, by parts), definite integrals, properties of definite integrals, areas under curves.

Order and degree, formation of DEs, variable separable, homogeneous, linear first-order differential equations.

Straight lines (slope-intercept, point-slope form, distance, angle between lines), circles (centre-radius, tangents), conics (parabola, ellipse, hyperbola).

Direction cosines, direction ratios, lines in 3D, angle between two lines, skew lines, planes (intercept form, normal form), angle between planes.

Types of vectors, addition, subtraction, dot product, cross product, scalar triple product, coplanarity, applications.

Mean, median, mode, variance, standard deviation, probability (classical, axiomatic), conditional probability, Bayes’ theorem, Bernoulli trials, binomial distribution.

Trigonometric ratios, compound angle formulae, multiple angle formulae, inverse trigonometric functions, properties of triangles, heights and distances.

Statements, logical connectives (AND, OR, NOT), truth tables, tautology, contradiction, converse, inverse, contrapositive.