KCET Syllabus 2027: PDF Expected January 2027, Subject-Wise Topics and Chapter Wise Weightage

Physical World; Units and Measurements; SI Units; Dimensional Analysis; Significant Figures; Errors in Measurement; Vernier Calliper and Screw Gauge.

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

Newton’s First, Second and Third Laws; Impulse and Momentum; Conservation of Linear Momentum; Friction (Static, Kinetic, Rolling); Circular Motion; Banking of Roads.

Work-Energy Theorem; Kinetic and Potential Energy; Conservation of Energy; Power; Elastic and Inelastic Collisions; Coefficient of Restitution.

Centre of Mass; Torque; Angular Momentum; Conservation of Angular Momentum; Moment of Inertia; Theorems of Parallel and Perpendicular Axes; Rolling Motion; Equilibrium of Rigid Bodies.

Universal Law of Gravitation; Gravitational Potential Energy; Variation of g; Orbital Velocity; Escape Velocity; Satellites; Geostationary Satellites; Kepler’s Laws of Planetary Motion.

Mechanical Properties of Solids: Stress, Strain, Young’s Modulus, Bulk Modulus, Shear Modulus. Mechanical Properties of Fluids: Pressure, Viscosity, Stokes’ Law, Bernoulli’s Theorem, Surface Tension, Capillarity. Thermal Properties of Matter: Thermal Expansion, Specific Heat, Latent Heat, Newton’s Law of Cooling.

Zeroth, First and Second Laws of Thermodynamics; Isothermal and Adiabatic Processes; Carnot Engine; Efficiency; Heat Engines and Refrigerators; Entropy.

Postulates of Kinetic Theory; Ideal Gas Equation; Degrees of Freedom; Law of Equipartition of Energy; Specific Heat Ratio; Mean Free Path; Brownian Motion.

Simple Harmonic Motion; Spring-Mass System; Simple Pendulum; Energy in SHM; Damped and Forced Oscillations; Wave Motion; Transverse and Longitudinal Waves; Speed of Sound; Superposition; Standing Waves; Beats; Doppler Effect.

Electric Charges; Coulomb’s Law; Electric Field and Field Lines; Electric Flux; Gauss’s Law; Electrostatic Potential; Equipotential Surfaces; Capacitance; Parallel Plate Capacitor; Dielectrics; Combination of Capacitors; Energy in a Capacitor.

Electric Current; Ohm’s Law; Resistance and Resistivity; Temperature Dependence of Resistance; Kirchhoff’s Laws; Combination of Resistors; Wheatstone Bridge; Meter Bridge; Potentiometer; EMF and Internal Resistance.

Biot-Savart Law; Ampere’s Circuital Law; Force on Current-Carrying Conductor; Cyclotron; Moving Coil Galvanometer; Conversion to Ammeter/Voltmeter; Magnetism and Matter; Magnetic Intensity; Hysteresis; Permanent Magnets.

Faraday’s Laws; Lenz’s Law; Motional EMF; Self and Mutual Inductance; AC Generator; Phasors; LCR Series Circuit; Resonance; Power in AC Circuit; Transformer; Energy Losses.

Displacement Current; Maxwell’s Equations (qualitative); Properties of EM Waves; Electromagnetic Spectrum (Radio, Microwave, Infrared, Visible, UV, X-rays, Gamma Rays); Uses of Each Region.

Ray Optics: Reflection at Spherical Mirrors; Refraction; Total Internal Reflection; Prism; Refraction through Lenses; Lens Maker’s Equation; Optical Instruments (Microscope, Telescope). Wave Optics: Huygens’ Principle; Young’s Double Slit Experiment; Interference; Diffraction; Polarisation; Malus’s Law.

Photoelectric Effect; Einstein’s Photoelectric Equation; Work Function; Threshold Frequency; de Broglie Hypothesis; Davisson-Germer Experiment; de Broglie Wavelength of Electrons.

Rutherford Model; Bohr’s Model; Hydrogen Spectrum; Energy Levels; Nuclear Composition; Nuclear Size and Mass; Radioactivity; Alpha, Beta, Gamma Decay; Half-Life; Binding Energy; Mass Defect; Nuclear Fission and Fusion.

Semiconductors; Intrinsic and Extrinsic Semiconductors; p-n Junction Diode; Forward and Reverse Bias; Rectifiers (Half Wave, Full Wave); Zener Diode; Transistors (NPN, PNP); Common Emitter Configuration; Logic Gates (AND, OR, NOT, NAND, NOR).

Mole Concept; Stoichiometry; Empirical and Molecular Formula; Percentage Composition; Limiting Reagent; Laws of Chemical Combination.

Bohr’s Model; Quantum Numbers; Aufbau Principle; Hund’s Rule; Pauli Exclusion Principle; Electronic Configuration; Shapes of Orbitals (s, p, d).

Modern Periodic Law; Periodic Table; Atomic Radius; Ionisation Enthalpy; Electron Affinity; Electronegativity; Shielding Effect; Anomalies in Periodicity.

Ionic and Covalent Bonds; VSEPR Theory; Molecular Geometry; Valence Bond Theory; Hybridisation (sp, sp2, sp3, sp3d, sp3d2); Molecular Orbital Theory; Bond Order; Hydrogen Bond; Dipole Moment.

Gas Laws (Boyle’s, Charles’, Avogadro’s); Ideal Gas Equation; Real Gases; van der Waals Equation; Critical Temperature; Liquefaction of Gases; Surface Tension; Viscosity of Liquids.

System and Surroundings; State Functions; Enthalpy; Hess’s Law; Standard Enthalpy of Formation; Bond Enthalpies; Entropy; Gibbs Free Energy; Spontaneity of Reactions.

Law of Chemical Equilibrium; Equilibrium Constants (Kc, Kp); Le Chatelier’s Principle; Ionic Equilibrium; Acids and Bases (Arrhenius, Bronsted-Lowry, Lewis); pH; Buffer Solutions; Solubility Product (Ksp).

Oxidation and Reduction; Oxidation States; Balancing Redox Equations by Ion-Electron Method and Oxidation Number Method; Oxidising and Reducing Agents.

Position of Hydrogen; Isotopes; Preparation and Properties; Uses; Water (Hard and Soft Water, Softening Methods); Hydrogen Peroxide (Structure, Reactions, Uses).

Group 1 (Alkali Metals): Electronic Configuration, Trends, NaOH, Na2CO3, NaHCO3, NaCl; Biological Role. Group 2 (Alkaline Earth Metals): Electronic Configuration, Trends, CaO, CaCO3, CaSO4; Biological Role of Ca and Mg.

Boron Family (Group 13): Properties, Borax, Boric Acid, Alums, Aluminium Compounds. Carbon Family (Group 14): Carbon Allotropes (Diamond, Graphite, Fullerene), CO, CO2, SiO2, Silicates.

Hybridisation; IUPAC Nomenclature; Types of Isomerism; Electronic Displacement Effects (Inductive, Resonance, Hyperconjugation, Electromeric); Alkanes (Free Radical Halogenation, Conformations); Alkenes (Addition, Markovnikov’s Rule, Ozonolysis); Alkynes; Aromatic Compounds (Benzene Structure, EAS Reactions, Directive Influence).

Types of Solids; Crystal Lattice and Unit Cell; Packing Efficiency; Voids; Calculation of Density; Defects in Solids (Schottky, Frenkel); Electrical and Magnetic Properties.

Types of Solutions; Concentration Terms (Molarity, Molality, Mole Fraction); Raoult’s Law; Ideal and Non-Ideal Solutions; Colligative Properties (Elevation of Boiling Point, Depression of Freezing Point, Osmotic Pressure); van’t Hoff Factor; Abnormal Molecular Mass.

Electrochemical Cell; Galvanic Cell; EMF; Standard Electrode Potential; Nernst Equation; Electrolysis; Conductance; Kohlrausch’s Law; Batteries (Primary, Secondary); Fuel Cells; Corrosion.

Rate of Reaction; Order and Molecularity; Integrated Rate Equations (Zero, First Order); Half-Life; Pseudo First Order; Activation Energy; Arrhenius Equation; Collision Theory; Catalysis (Homogeneous, Heterogeneous, Enzyme).

Adsorption; Freundlich and Langmuir Isotherms; Colloids (Types, Properties, Preparation, Tyndall Effect, Coagulation); Emulsions; Catalysis by Surfaces; Enzyme Catalysis.

Occurrence and Classification of Ores; Concentration Methods; Thermodynamic Principles (Ellingham Diagram); Extraction of Iron, Copper, Zinc; Refining Methods (Electrolytic, Zone, Vapour Phase).

Group 15 (Nitrogen Family): N2, NH3, HNO3, H3PO4, Allotropes of Phosphorus. Group 16 (Oxygen Family): O3, H2S, H2SO4 (industrial preparation). Group 17 (Halogens): F, Cl, HF, HCl, Bleaching Powder, Interhalogen Compounds. Group 18 (Noble Gases): Properties, Uses, Xenon Compounds.

Transition Metals: Electronic Configuration, Variable Oxidation States, Coloured Compounds, Magnetic Properties, Catalytic Behaviour; Important Compounds: KMnO4, K2Cr2O7; Lanthanides: Electronic Configuration, Lanthanide Contraction; Actinides.

Werner’s Theory; IUPAC Nomenclature; Isomerism (Structural, Geometrical, Optical); Valence Bond Theory; Crystal Field Theory; Stability Constants; Importance in Biological Systems (Haemoglobin, Chlorophyll); Applications in Medicine.

Classification and Nomenclature; Preparation; Physical Properties; SN1 and SN2 Mechanisms; E1 and E2 Elimination; Optical Activity; Grignard Reagent; Aryl Halides (Nucleophilic Substitution, Electrophilic Substitution).

Classification and Nomenclature; Preparation; Physical Properties; Chemical Reactions of Alcohols (Dehydration, Oxidation, Esterification, Lucas Test); Phenols (Acidity, Reactions with Na, FeCl3, Coupling); Ethers (Williamson Synthesis, Cleavage by HI).

Nomenclature; Preparation; Nucleophilic Addition Reactions; Aldol Condensation; Cannizzaro Reaction; Tollen’s and Fehling’s Tests; Carboxylic Acids: Preparation, Reactions (Esterification, Acyl Chloride Formation, Decarboxylation).

Classification and Nomenclature; Preparation; Physical Properties; Basicity and Factors Affecting It; Reactions (Acylation, Carbylamine Test, Diazotisation, Coupling Reactions); Diazonium Salts.

Biomolecules: Carbohydrates (Reducing/Non-reducing Sugars, Monosaccharides, Polysaccharides), Proteins (Amino Acids, Peptide Bond, Denaturation), Enzymes, Vitamins, Nucleic Acids (DNA, RNA). Polymers: Addition and Condensation Polymerisation; Nylon, Dacron, PVC, Bakelite, Natural Rubber. Chemistry in Everyday Life: Analgesics, Antibiotics, Antacids, Antiseptics, Dyes, Detergents.

Types of Sets; Operations on Sets (Union, Intersection, Complement); Venn Diagrams; Cartesian Product; Relations; Domain and Range; Types of Functions (One-One, Onto, Bijective); Composition of Functions; Inverse Functions.

Radian Measure; Conversion; Trigonometric Ratios; Compound Angle Formulae; Multiple and Sub-Multiple Angles; Product-to-Sum Formulae; Trigonometric Equations; General Solutions; Properties of Triangles.

Principle of Mathematical Induction; Complex Numbers; Argand Plane; Modulus and Argument; Polar Form; Quadratic Equations (Nature of Roots); Linear Inequalities; Permutations; Combinations; Binomial Theorem; General Term; Middle Term; Sequences and Series (AP, GP, HP; Sum Formulae).

Straight Lines: Slope, Various Forms of Equation, Angle between Lines, Distance Formulas, Family of Lines. Conic Sections: Circle, Parabola, Ellipse, Hyperbola (Standard Forms, Focal Chord, Latus Rectum). Introduction to 3D Geometry: Distance Formula, Section Formula, Coordinates in 3D.

Limits (Algebraic, Trigonometric, Exponential); Derivatives: First Principles, Rules (Product, Quotient, Chain); Mathematical Reasoning: Statements, Connectives, Contrapositive; Statistics: Mean Deviation, Variance, Standard Deviation; Probability: Classical Definition, Addition Theorem, Mutually Exclusive Events.

Equivalence Relations; Types of Functions (advanced); Composition and Inverse; Inverse Trigonometric Functions: Domain, Range, Principal Value Branch, Identities, Simplification Problems.

Types of Matrices; Operations (Addition, Multiplication, Scalar Multiplication); Transpose; Symmetric and Skew-Symmetric; Invertible Matrices; Determinants; Minor and Cofactor; Adjoint and Inverse; Solution of System of Linear Equations (Cramer’s Rule, Matrix Method).

Continuity and Differentiability; Derivatives of Composite, Implicit and Parametric Functions; Derivatives of Exponential and Logarithmic Functions; Logarithmic Differentiation; Higher Order Derivatives; Rolle’s Theorem; Mean Value Theorem.

Rate of Change of Quantities; Increasing and Decreasing Functions; Tangents and Normals; Approximations; Maxima and Minima (First and Second Derivative Test); Word Problems on Optimisation.

Integration as Antiderivative; Standard Integrals; Integration by Substitution; Integration by Parts; Partial Fractions; Definite Integrals; Properties of Definite Integrals; Fundamental Theorem of Calculus; Area under Curves.

Order and Degree; Formation of Differential Equations; Variable Separable Method; Homogeneous Differential Equations; Linear Differential Equations (Integrating Factor Method); Growth and Decay Problems.

Types of Vectors; Addition and Subtraction; Dot Product (Scalar Product); Cross Product (Vector Product); Scalar Triple Product; Direction Cosines and Direction Ratios; Equations of Lines in 3D; Angle between Lines; Equations of Planes; Angle between Planes; Distance from a Point to a Plane; Skew Lines.

Linear Programming: Formulation of LPP; Graphical Method; Feasible Region; Corner Point Method; Maximum and Minimum Problems. Probability: Conditional Probability; Multiplication Theorem; Independent Events; Bayes’ Theorem; Random Variables; Probability Distribution; Mean and Variance; Binomial Distribution.