KCET Syllabus 2027: Topic Wise, Subject Wise Weightage and PDF Download

Physical World; Units and Measurements; Dimensional Analysis; Error Analysis; Significant Figures; SI Units.

Motion in a Straight Line; Uniform and Non-uniform Motion; Displacement-Time and Velocity-Time Graphs; Motion in a Plane; Scalars and Vectors; Projectile Motion; Relative Velocity; Uniform Circular Motion.

Newton’s First, Second, and Third Laws; Impulse; Static and Kinetic Friction; Rolling Friction; Circular Motion Dynamics; Law of Conservation of Linear Momentum; Rocket Propulsion.

Work Done by a Constant and Variable Force; Work-Energy Theorem; Kinetic Energy; Potential Energy; Conservation of Mechanical Energy; Power; Elastic and Inelastic Collisions in One and Two Dimensions.

Centre of Mass; Motion of Centre of Mass; Moment of Inertia; Radius of Gyration; Parallel and Perpendicular Axes Theorems; Torque; Angular Momentum; Conservation of Angular Momentum; Rolling Motion without Slipping.

Kepler’s Laws of Planetary Motion; Universal Law of Gravitation; Gravitational Field Intensity; Acceleration Due to Gravity; Variation of g with Height, Depth, and Latitude; Gravitational Potential Energy; Escape Velocity; Orbital Velocity; Satellites; Geostationary and Polar Orbits.

Elastic Behaviour; Stress-Strain Curve; Hooke’s Law; Young’s Modulus; Bulk Modulus; Rigidity Modulus; Pressure; Pascal’s Law; Viscosity; Stokes’ Law; Bernoulli’s Theorem and Applications; Surface Tension; Surface Energy; Capillarity.

Thermal Expansion; Specific Heat Capacity; Calorimetry; Change of State; Latent Heat; Heat Transfer (Conduction, Convection, Radiation); Stefan’s Law; Newton’s Law of Cooling; Zeroth, First, and Second Laws of Thermodynamics; Carnot Engine and Refrigerator; Kinetic Theory of Gases; Degrees of Freedom; Law of Equipartition; Mean Free Path.

Periodic Motion; Simple Harmonic Motion; Energy in SHM; Simple Pendulum; Free, Damped, and Forced Oscillations; Resonance; Transverse and Longitudinal Waves; Speed of a Wave; Superposition of Waves; Stationary Waves; Beats; Doppler Effect.

Electric Charges and Conservation; Coulomb’s Law; Electric Field; Electric Field Lines; Electric Dipole; Electric Flux; Gauss’s Law and Applications; Electric Potential; Equipotential Surfaces; Relation between E and V; Capacitance; Parallel Plate Capacitor; Combination of Capacitors; Dielectrics; Energy Stored in a Capacitor.

Electric Current; Drift Velocity; Mobility; Ohm’s Law; Resistivity; Temperature Dependence of Resistance; Resistances in Series and Parallel; Kirchhoff’s Laws; Wheatstone Bridge; Meter Bridge; Potentiometer; EMF; Internal Resistance; Combination of Cells.

Biot-Savart Law; Ampere’s Circuital Law; Solenoid; Toroid; Force on a Moving Charge; Force on a Current-Carrying Conductor; Moving Coil Galvanometer; Ammeter and Voltmeter; Magnetic Dipole; Earth’s Magnetism; Diamagnetism; Paramagnetism; Ferromagnetism; Hysteresis.

Faraday’s Laws of Electromagnetic Induction; Lenz’s Law; Motional EMF; Self-Inductance; Mutual Inductance; AC Generator; RMS and Peak Values; Phasors; AC Circuits with R, L, and C; Resonance; Power in AC Circuits; LC Oscillations; Transformers.

Displacement Current; Maxwell’s Equations; Electromagnetic Spectrum; Ray Optics – Reflection, Refraction, Total Internal Reflection, Mirrors, Lenses, Prisms, Optical Instruments (Microscope, Telescope); Wave Optics – Huygens Principle, Wavefront, Interference (Young’s Double Slit Experiment), Diffraction, Polarisation.

Photoelectric Effect; Einstein’s Photoelectric Equation; de Broglie Hypothesis; Rutherford and Bohr Atomic Models; Hydrogen Spectrum; Composition and Size of Nucleus; Mass Defect; Binding Energy; Nuclear Fission and Fusion; Radioactivity; Semiconductors; PN Junction Diode; Rectifier; Zener Diode; Transistor; Logic Gates (AND, OR, NOT, NAND, NOR); Communication Systems.

Mole Concept; Atomic and Molecular Masses; Equivalent Weight; Stoichiometry; Limiting Reagent; Concentration Terms (Molarity, Molality, Normality, Mole Fraction).

Bohr’s Atomic Model; Quantum Numbers; Pauli Exclusion Principle; Aufbau Principle; Hund’s Rule; Electronic Configuration; Heisenberg Uncertainty Principle; Orbital Shapes (s, p, d, f).

Modern Periodic Law; Periodic Trends – Atomic Radius, Ionic Radius, Ionisation Enthalpy, Electron Gain Enthalpy, Electronegativity, Valence; s, p, d, and f Block Classification.

Ionic Bond; Lattice Energy; Covalent Bond; Lewis Structures; VSEPR Theory; Valence Bond Theory; Hybridisation (sp, sp2, sp3, sp3d, sp3d2); Molecular Orbital Theory; Bond Order; Hydrogen Bonding.

Gas Laws (Boyle’s, Charles’, Avogadro’s); Ideal Gas Equation; Dalton’s Law of Partial Pressures; Kinetic Molecular Theory; van der Waals Equation; Real Gases; Vapour Pressure; Viscosity; Surface Tension.

System and Surroundings; Internal Energy; Enthalpy; Hess’s Law; Bond Enthalpy; Entropy; Gibbs Free Energy; Spontaneity; First and Second Laws of Thermodynamics.

Law of Mass Action; Equilibrium Constants Kp and Kc; Le Chatelier’s Principle; Ionic Equilibrium; pH and pOH; Acid-Base Theories; Buffer Solutions; Common Ion Effect; Solubility Product (Ksp).

Oxidation Numbers; Balancing Redox Reactions (Oxidation Number and Half-Reaction Methods); Hydrogen – Properties and Uses; Alkali Metals (Group 1); Alkaline Earth Metals (Group 2); Important Compounds (NaOH, Na2CO3, CaO, Ca(OH)2).

IUPAC Nomenclature; Isomerism (Structural and Stereo); Electronic Displacement Effects (Inductive, Resonance, Hyperconjugation); Reaction Intermediates; Alkanes; Alkenes; Alkynes; Aromatic Hydrocarbons; Benzene Structure; Resonance; Aromaticity; Reactions (Substitution, Addition, Elimination).

Types of Solids; Unit Cell; Packing Efficiency; Bragg’s Law; Crystal Defects; Raoult’s Law; Vapour Pressure Lowering; Colligative Properties (Elevation of BP, Depression of FP, Osmotic Pressure); van’t Hoff Factor; Abnormal Molar Masses.

Galvanic Cells; Electrode Potential; Standard Electrode Potential; EMF of a Cell; Nernst Equation; Electrolysis; Faraday’s Laws; Molar Conductivity; Kohlrausch’s Law; Rate of Reaction; Rate Law; Order and Molecularity; Integrated Rate Equations; Half-Life; Arrhenius Equation; Activation Energy.

Adsorption; Types of Adsorption; Catalysis; Colloids; Emulsions; Metallurgy; p-Block Elements (Groups 15–18); Transition Metals; Lanthanides and Actinides; Coordination Compounds; IUPAC Naming; Werner’s Theory; Isomerism; Valence Bond Theory; Crystal Field Theory; Applications of Coordination Compounds.

Haloalkanes and Haloarenes; Alcohols, Phenols, and Ethers; Aldehydes, Ketones, and Carboxylic Acids; Amines; Biomolecules (Carbohydrates, Proteins, Nucleic Acids, Vitamins, Hormones); Polymers (Addition and Condensation); Chemistry in Everyday Life (Drugs, Dyes, Cleansing Agents).

Sets and Their Types; Set Operations (Union, Intersection, Difference, Complement); Venn Diagrams; Cartesian Product; Relations; Domain and Range; Types of Functions; Composition of Functions; Invertible Functions.

Degree and Radian Measure; Trigonometric Functions and Their Graphs; Fundamental Identities; Addition and Product Formulas; General Solution of Trigonometric Equations; Sine Rule; Cosine Rule; Area of Triangle; Heights and Distances.

Principle of Mathematical Induction; Complex Numbers; Argand Plane; Modulus and Argument; Polar Form; Quadratic Equations in Complex Numbers; Linear Inequalities; Permutations; Combinations; Binomial Theorem; Pascal’s Triangle; Arithmetic, Geometric, and Harmonic Progressions; Sum of Special Series (n, n², n³).

Slope of a Line; Angle Between Two Lines; Various Forms of Straight Lines; Distance of a Point from a Line; Conic Sections – Circle, Parabola, Ellipse, Hyperbola (Standard Forms, Properties, Parametric Equations); Introduction to Three Dimensional Geometry (Section Formula, Distance).

Limits; Continuity; Derivatives; Standard Differentiation Formulas; Mathematical Reasoning (Statements, Connectives, Validity); Mean Deviation; Variance; Standard Deviation; Coefficient of Variation; Probability – Events, Sample Space, Axiomatic Approach; Addition Theorem; Mutually Exclusive Events.

Types of Relations; Equivalence Relations; One-one, Onto, and Bijective Functions; Inverse Trigonometric Functions; Principal Value Branch; Graphs; Properties and Simplification of Inverse Trig Expressions.

Matrix Operations (Addition, Multiplication, Scalar Multiplication, Transpose); Types of Matrices; Determinants; Properties of Determinants; Minors and Cofactors; Adjoint; Inverse of a Matrix; Rank; Solutions of Linear Equations (Matrix Method, Cramer’s Rule); Applications.

Continuity and Differentiability; Chain Rule; Implicit and Explicit Differentiation; Parametric Differentiation; Logarithmic Differentiation; Second-Order Derivatives; Rolle’s Theorem; Lagrange’s Mean Value Theorem; Application of Derivatives – Tangents and Normals, Increasing and Decreasing Functions, Maxima and Minima, Approximations; Integration – Standard Formulas, Substitution, Integration by Parts, Partial Fractions; Definite Integrals; Properties; Fundamental Theorem; Area Under Curves; Differential Equations – Order, Degree, Variable Separable, Homogeneous, Linear First Order.

Types of Vectors; Addition and Subtraction; Multiplication by a Scalar; Dot Product; Cross Product; Scalar Triple Product; Direction Cosines and Direction Ratios; Equations of a Line in 3D; Skew Lines; Shortest Distance; Equations of a Plane; Angle Between Planes; Distance of a Point from a Plane.

Linear Programming Problems; Constraints; Feasible Region; Corner Point Method; Optimal Solution; Types of LPP; Conditional Probability; Multiplication Rule; Independent Events; Theorem of Total Probability; Bayes’ Theorem; Random Variables; Probability Distribution; Binomial Distribution; Mean and Variance of a Binomial Distribution.