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

Physical quantities, SI units, dimensional analysis, significant figures, errors in measurement, measuring instruments (vernier callipers, screw gauge)

Position, displacement, velocity and acceleration, kinematics equations, motion under gravity, relative motion in 1D

Scalars and vectors, vector addition and resolution, projectile motion, uniform circular motion, relative velocity in 2D

Newton’s three laws of motion, inertia, momentum and impulse, friction (static, kinetic, rolling), circular motion dynamics, centripetal force, banking of roads

Work done by constant and variable forces, kinetic and potential energy, work-energy theorem, conservation of energy, power, elastic and inelastic collisions

Centre of mass, torque, angular momentum, moment of inertia, theorems of parallel and perpendicular axes, rotational kinetic energy, rolling motion without slipping

Newton’s law of gravitation, gravitational field and potential, acceleration due to gravity, variation with height and depth, orbital velocity, escape velocity, satellites, Kepler’s laws

Elasticity (stress, strain, elastic moduli), pressure in fluids, Pascal’s law, Archimedes’ principle, viscosity, Bernoulli’s equation, surface tension, capillarity

Thermal expansion, calorimetry, modes of heat transfer, kinetic theory of gases, laws of thermodynamics, Carnot’s engine, entropy, specific heat of gases

Simple harmonic motion, equations and energy of SHM, simple pendulum, spring-mass system, free and damped oscillations, resonance

Wave motion, transverse and longitudinal waves, speed of sound, superposition, stationary waves, resonance in pipes, Doppler effect, beats

Coulomb’s law, electric field and potential, Gauss’s law, electric dipole, capacitance, combination of capacitors, dielectrics, energy stored in a capacitor

Ohm’s law, resistivity and temperature dependence, combination of resistors, EMF and internal resistance, Kirchhoff’s laws, Wheatstone bridge, potentiometer, meter bridge

Biot-Savart law, Ampere’s law, force on current-carrying conductor, moving coil galvanometer, Earth’s magnetic field, magnetic properties of materials, diamagnetic and paramagnetic substances

Faraday’s law, Lenz’s law, self and mutual inductance, AC circuits, LCR series circuit, resonance, power factor, transformer, AC generator

Displacement current, EM wave spectrum (radio, microwave, infrared, visible, UV, X-ray, gamma ray), properties and applications of each EM wave type

Reflection and refraction, lenses and mirrors, dispersion and total internal reflection, optical instruments; wave optics — interference (Young’s double slit), diffraction, polarisation

Photoelectric effect, Einstein’s photoelectric equation, work function, de Broglie wavelength, Davisson-Germer experiment, matter waves

Bohr’s model, atomic spectra, nuclear structure, radioactivity (α, β, γ decay), mass defect, binding energy, nuclear fission and fusion, Q-value of reactions

Energy bands, conductors, semiconductors and insulators, p-n junction diode, rectifier circuits, transistor as switch and amplifier, logic gates (AND, OR, NOT, NAND, NOR)

Modulation (AM, FM), propagation of EM waves, bandwidth, amplitude and frequency modulation, satellite communication basics, optical fibre, internet fundamentals

Dalton’s atomic theory, mole concept, stoichiometry, atomic models, quantum numbers, electronic configuration, Aufbau principle, Pauli exclusion principle, Hund’s rule

Ionic and covalent bonding, VSEPR theory, hybridisation, molecular orbital theory, hydrogen bonding, van der Waals forces, bond order and bond length

Kinetic molecular theory, gas laws, ideal gas equation, real gases, van der Waals equation, liquefaction of gases, crystal structures and solid state defects

Periodic law, trends in atomic radius, ionisation energy, electron affinity and electronegativity; position of hydrogen, isotopes, compounds (water, hydrogen peroxide)

Alkali and alkaline earth metals — occurrence, properties, and compounds (NaOH, Na₂CO₃, KNO₃, CaO, Ca(OH)₂); metallurgical principles — ores, concentration, reduction, refining

Groups 13–18: boron, carbon, nitrogen, oxygen, halogen, and noble gas families; allotropes, important compounds, preparation methods and industrial uses

Transition metals — general characteristics, variable oxidation states, colour, complex formation; lanthanides and actinides — occurrence and general properties

System and surroundings, enthalpy, entropy, Gibbs free energy, Hess’s law, Born-Haber cycle, thermochemical equations, spontaneity criteria

Equilibrium constant (Kc, Kp), Le Chatelier’s principle, ionic equilibrium, pH calculations, buffer solutions, solubility product, common ion effect, hydrolysis

Types of solutions, concentration terms (molarity, molality, mole fraction), Raoult’s law, colligative properties — boiling point elevation, freezing point depression, osmotic pressure

Oxidation number, balancing redox equations, electrochemical cells, electrode potential, Nernst equation, Faraday’s laws of electrolysis, conductance, corrosion

Rate of reaction, rate law, order and molecularity, integrated rate equations (0th and 1st order), half-life, Arrhenius equation, activation energy, homogeneous and heterogeneous catalysis

Adsorption, types of colloids, preparation and properties of colloids (Tyndall effect, Brownian motion, electrophoresis), emulsions, micelles

IUPAC nomenclature, Werner’s theory, valence bond and crystal field theories, isomerism in coordination compounds, organometallic compounds and their applications

Classification and IUPAC nomenclature, isomerism, inductive effect, resonance, hyperconjugation, methods of purification (distillation, recrystallisation, chromatography)

Alkanes, alkenes, alkynes — IUPAC names, preparation and reactions; aromatic hydrocarbons — benzene, Hückel’s rule, electrophilic substitution (nitration, halogenation, sulfonation, Friedel-Crafts)

Nucleophilic and electrophilic substitution and addition, elimination reactions, reaction intermediates (carbocations, carbanions, free radicals), SN1 and SN2 mechanisms

Geometric isomerism (cis-trans), optical isomerism, chirality, enantiomers, diastereomers, R-S configuration, conformational analysis of ethane and cyclohexane

Alkyl and aryl halides — preparation, physical and chemical properties, nucleophilic substitution, elimination reactions, Grignard reagent preparation and uses

Alcohols, phenols, ethers, aldehydes, ketones, carboxylic acids and their derivatives — preparation, properties, and reactions (aldol condensation, Cannizzaro, esterification)

Amines (classification, preparation and reactions), diazonium salts (diazotization and coupling), nitro compounds, amino acids and their properties

Addition and condensation polymers, natural rubber, carbohydrates (glucose, fructose, sucrose, starch, cellulose), proteins (amino acids, peptide bonds, denaturation), vitamins, nucleic acids

Air, water and soil pollution; greenhouse effect; ozone layer depletion; drugs (analgesics, antibiotics, antiseptics, antacids), soaps, detergents, food additives and preservatives

Set operations, Venn diagrams, types of functions; complex numbers on the Argand plane (modulus-argument, polar form); quadratic equations and discriminant; AP, GP, HP, AM-GM-HM inequalities; binomial expansion and general term; nPr and nCr; properties of determinants, matrix operations, inverse of a matrix, Cramer’s rule; principle of mathematical induction

Statements, logical connectives (and, or, not, if-then, iff), truth tables, converse, contrapositive, inverse; Boolean operations, logic gates; formulation and graphical method for linear programming (corner point method)

Identities, compound, multiple and sub-multiple angle formulas; general solutions of trigonometric equations; domain, range and principal values of inverse trig functions; sine rule, cosine rule, area of triangle, solution of triangles

Distance formula, section formula, slope, intercepts, various forms of line equations, family of lines; standard and general equations of circles, intersection with lines; standard equations, focus-directrix, eccentricity, tangents and normals for parabola, ellipse and hyperbola

Limits, continuity and differentiability; differentiation rules (chain, implicit, logarithmic, parametric); applications — tangent and normal, rate of change, increasing/decreasing functions, maxima and minima, Rolle’s and Lagrange’s theorems; integration by substitution, by parts, by partial fractions; definite integrals and properties; area under and between curves; order, degree and solution of first-order ODEs

Types of vectors, addition, resolution, scalar (dot) product, vector (cross) product, scalar triple product; direction cosines and direction ratios, equation of a line in 3D, equation of a plane, distance between point and plane

Measures of central tendency and dispersion, variance and standard deviation, coefficient of variation; classical and axiomatic probability, conditional probability, Bayes’ theorem, multiplication rule, random variables, binomial distribution