KIITEE Syllabus 2026: PCM Topics, Subject-Wise Weightage and PDF Download

Units and dimensions; dimensional analysis; significant figures; errors in measurement — systematic and random; instruments and their precision.

Motion in a straight line; uniform and non-uniform motion; equations of motion; projectile motion; uniform circular motion; relative velocity; scalars and vectors; vector resolution.

Newton’s first, second, and third laws; inertia; impulse and momentum; conservation of linear momentum; equilibrium of concurrent forces; static and kinetic friction; rolling friction.

Work done by constant and variable forces; work-energy theorem; kinetic and potential energy; conservation of mechanical energy; power; elastic and inelastic collisions in one and two dimensions.

Centre of mass; angular velocity and acceleration; torque; angular momentum; conservation of angular momentum; moment of inertia; theorems of parallel and perpendicular axes; rolling motion of cylinder and sphere.

Newton’s law of gravitation; gravitational potential energy and potential; escape velocity; orbital velocity; geostationary and polar satellites; Kepler’s laws; variation of g with depth and altitude.

Elastic moduli; Hooke’s law; Young’s modulus; bulk modulus; modulus of rigidity; pressure in fluids; Pascal’s law; Archimedes’ principle; viscosity; Stokes’ law; Bernoulli’s theorem; surface tension; capillarity; thermal expansion.

Zeroth, first, and second laws of thermodynamics; internal energy; isothermal and adiabatic processes; Carnot cycle; efficiency; heat engines; entropy; conduction, convection, radiation; Newton’s law of cooling; Stefan’s law; Wien’s law.

Assumptions of kinetic theory; mean speed and RMS speed; mean free path; degrees of freedom; equipartition of energy; specific heats of gases (Cp and Cv).

SHM and its equation; spring-mass system; simple pendulum; free, forced, and damped oscillations; resonance. Transverse and longitudinal waves; wave equation; superposition; reflection; harmonics; beats; Doppler effect.

Coulomb’s law; electric field and field lines; Gauss’s theorem; electric potential and potential difference; capacitance; parallel plate capacitor; dielectrics; energy stored in a capacitor; combination of capacitors.

Ohm’s law; resistivity; Kirchhoff’s laws; Wheatstone bridge; potentiometer; cells in series and parallel; EMF; heating effects of current; electrical energy and power.

Biot-Savart law; Ampere’s law; force on a moving charge; cyclotron; force on a current-carrying conductor; galvanometer; ammeter; voltmeter; Earth’s magnetism; magnetic properties of matter.

Faraday’s law; Lenz’s law; self and mutual inductance; AC circuits (LCR); RMS values; resonance in LCR circuits; power in AC circuits; transformers; LC oscillations.

Characteristics and speed of EM waves; electromagnetic spectrum (radio, microwave, infrared, visible, UV, X-rays, gamma rays); displacement current concept.

Reflection and refraction; spherical mirrors; lenses (lens-maker’s equation); total internal reflection; optical instruments (microscope, telescope). Young’s double slit experiment; interference; diffraction; polarisation; Brewster’s law.

Photoelectric effect; Einstein’s photoelectric equation; threshold frequency; stopping potential; de Broglie wavelength; Heisenberg’s uncertainty principle; electron diffraction.

Rutherford and Bohr atomic models; energy levels; hydrogen spectrum; radioactive decay laws (α, β, γ); half-life; nuclear binding energy; mass-energy equivalence; nuclear fission and fusion.

Energy bands; semiconductors; p-n junction; diodes (rectifiers, Zener); transistors in CE configuration; logic gates (AND, OR, NOT, NAND, NOR).

Modes of propagation; modulation (AM and FM); bandwidth; satellite communication; optical fibre communication basics.

Mole concept; Avogadro’s number; stoichiometry; limiting reagent; laws of chemical combination; atomic and molecular masses; empirical and molecular formulae; percentage composition.

Gas laws; ideal gas equation; van der Waals equation; liquefaction of gases; kinetic theory; liquid state — vapour pressure, surface tension, viscosity; solid state — crystal systems, unit cell, close packing, Bragg’s law.

Thomson and Rutherford models; Bohr model; de Broglie relation; Heisenberg’s uncertainty principle; quantum numbers (n, l, m, s); shapes of s, p, d orbitals; Aufbau principle; Hund’s rule; Pauli exclusion principle; electronic configuration.

Ionic and covalent bonding; Lewis structures; VSEPR theory; hybridisation (sp, sp², sp³, sp³d, sp³d²); molecular orbital theory; bond order; dipole moment; hydrogen bonding.

Enthalpy; Hess’s law; bond enthalpy; enthalpy of formation, combustion, and neutralisation; entropy; Gibbs free energy; spontaneity; first and second laws of thermodynamics applied to chemistry.

Concentration units (molarity, molality, mole fraction, normality); Henry’s law; Raoult’s law; colligative properties — vapour pressure lowering, depression of freezing point, elevation of boiling point, osmotic pressure; van’t Hoff factor; abnormal molar mass.

Law of mass action; equilibrium constant (Kc and Kp); Le Chatelier’s principle; ionic equilibria; pH calculations; buffer solutions; solubility product (Ksp); common ion effect; hydrolysis of salts.

Electrolytic conduction; Faraday’s laws; electrochemical cells; standard electrode potential; Nernst equation; EMF; corrosion; electrolysis applications.

Rate of reaction; rate law; order and molecularity; activation energy; Arrhenius equation; integrated rate laws; half-life of first-order reactions; catalysis.

Adsorption — physisorption and chemisorption; Freundlich and Langmuir isotherms; catalysis types; colloids — Tyndall effect, Brownian motion; emulsions. Radioactivity (α, β, γ decay); half-life; nuclear binding energy; fission and fusion; radioisotope applications.

Modern periodic law; periodicity of atomic radius, ionisation enthalpy, electron affinity, and electronegativity; periodic trends across periods and groups.

Alkali metals (Group 1) and alkaline earth metals (Group 2); reactions with water, air, and acids; oxides and hydroxides; anomalous behaviour of lithium and beryllium; important compounds (NaOH, Na₂CO₃, CaCO₃, CaO).

Boron family (Group 13); Carbon family and allotropes (Group 14); Nitrogen family and oxoacids (Group 15); Oxygen family and allotropes of sulphur (Group 16); Halogens — preparation, properties, interhalogen compounds (Group 17); Noble gases (Group 18).

Transition metals — variable oxidation states, colour, magnetic properties, catalytic behaviour, interstitial compounds; important compounds of Fe, Cu, Zn; lanthanides and actinides; contraction and properties.

Werner’s theory; IUPAC nomenclature; types of isomerism (geometric, optical, linkage, ionisation); crystal field theory (CFT); stability constants; bonding in complexes; organometallics basics.

Air and water pollution; ozone layer depletion; greenhouse effect; acid rain; green chemistry principles; industrial waste management.

Purification methods (crystallisation, distillation, chromatography); qualitative and quantitative elemental analysis; IUPAC nomenclature; hybridisation; inductive, resonance, and hyperconjugation effects; carbocations, carbanions, free radicals, and carbenes; types of reactions (addition, substitution, elimination).

Alkanes — conformations; alkenes — reactions, Markovnikov’s rule, anti-Markovnikov addition; alkynes — acidic character; benzene — aromaticity, electrophilic substitution (halogenation, nitration, sulphonation, Friedel-Crafts).

Haloalkanes and haloarenes; SN1 and SN2 mechanisms; E1 and E2 elimination; Grignard reagents — preparation and reactions; polyhalogen compounds (DDT, CHCl₃, CCl₄, freons).

Alcohols and phenols — acidity, reactions; ethers — preparation, Williamson synthesis; aldehydes and ketones — nucleophilic addition, aldol condensation, Cannizzaro reaction; carboxylic acids — acidity, esterification, amide formation; acid anhydrides and acyl chlorides.

Amines — classification, basicity, Gabriel phthalimide synthesis, Hoffmann bromamide reaction; diazonium salts and their synthetic applications; cyanides and isocyanides; nitro compounds.

Carbohydrates — mono-, di-, and polysaccharides; reducing and non-reducing sugars; proteins and amino acids; peptide bond; denaturation; lipids; nucleic acids (DNA and RNA); enzymes; hormones.

Addition and condensation polymers; natural rubber; vulcanisation; synthetic fibres (Nylon, Polyester, Terylene); Bakelite and phenol-formaldehyde resins; biodegradable polymers.

Drugs — analgesics, antibiotics, antacids, antiseptics, disinfectants, tranquilisers; soaps and detergents; food additives; rocket propellants.

Types of sets; operations on sets; Venn diagrams; Cartesian product; relations — domain, range, co-domain; functions — injective, surjective, bijective; composition and inverse; binary operations.

Algebraic operations; modulus and argument; Argand plane; polar form; De Moivre’s theorem; cube roots of unity; nature of roots of a quadratic; discriminant; relation between roots and coefficients; quadratic inequalities.

Types of matrices; matrix operations; transpose; adjoint; inverse of a matrix; properties of determinants; minors and cofactors; Cramer’s rule; solution of simultaneous linear equations.

Fundamental counting principle; permutations with and without repetition; circular permutations; combinations; principle of mathematical induction; proving divisibility and algebraic identities by induction.

Binomial expansion for positive integer index; general and middle terms; binomial coefficients; Pascal’s triangle; applications in approximation.

Arithmetic, geometric, and harmonic progressions; sum to n terms; infinite GP; AM-GM-HM inequality; special series (Σn, Σn², Σn³); telescoping sums.

Trigonometric functions and their graphs; compound and multiple angle formulae; sum-to-product and product-to-sum identities; trigonometric equations; inverse trigonometric functions (domain, range, principal values); properties of triangles (sine rule, cosine rule); heights and distances.

Limits (algebraic, trigonometric, exponential, logarithmic); L’Hôpital’s rule; continuity and differentiability; derivatives of standard functions; chain rule; product and quotient rules; implicit and parametric differentiation; higher-order derivatives; applications — tangents and normals, increasing/decreasing functions, maxima and minima, Rolle’s and Lagrange’s MVT.

Indefinite integrals — standard forms; substitution; integration by parts; partial fractions; integration of rational and irrational functions. Definite integrals — properties; Newton-Leibniz theorem; area under and between curves.

Order and degree; formation of differential equations; variable separable method; homogeneous equations; first-order linear differential equations; applications (growth and decay problems).

Straight lines — slope, intercepts, standard forms, angle between lines, distance of a point; circles — standard equation, tangent, normal, chord of contact; conics — parabola, ellipse, hyperbola (standard equations, foci, directrix, tangents, normals, properties).

Direction cosines and ratios; equations of lines and planes in 3D; angle between line and plane; distance of a point from a plane; skew lines; shortest distance between skew lines.

Types of vectors; vector addition and subtraction; scalar multiplication; dot product (projection, angle between vectors); cross product (area of parallelogram, moment); scalar triple product (volume of parallelepiped); vector equations of lines and planes.

Mean, median, mode for grouped and ungrouped data; combined mean; mean deviation; variance; standard deviation; coefficient of variation.

Random experiment; sample space; events; classical and axiomatic probability; addition theorem; multiplication theorem; Bayes’ theorem; independent events; Bernoulli trials; binomial probability distribution — mean and variance.

Statements; logical connectives (AND, OR, NOT, IF-THEN, IFF); truth tables; tautologies and contradictions; negation; converse, inverse, and contrapositive; quantifiers.