UPCET Syllabus 2027: Subject Wise Topics, Important Chapters and PDF Download

Units and Dimensions, Dimensional Analysis, Least Count, Significant Figures, Errors in Measurement, Vernier Calipers, Screw Gauge

Displacement, Velocity, Acceleration, Equations of Motion, Motion Under Gravity, Relative Velocity, Distance-Time and Velocity-Time Graphs

Newton’s Laws, Inertia, Momentum, Impulse, Friction (Static, Kinetic, Rolling), Laws of Limiting Friction, Connected Systems, Pulleys

Projectile Motion, Circular Motion (Uniform and Non-uniform), Centripetal Acceleration, Banking of Roads, Motion of Vehicles on Curved Tracks

Work-Energy Theorem, Conservative and Non-conservative Forces, Potential Energy, Elastic and Inelastic Collisions, Power, Springs

Conservation of Momentum, Centre of Mass, Elastic and Perfectly Inelastic Collisions, Coefficient of Restitution, Rocket Propulsion

Torque, Angular Momentum, Moment of Inertia (Theorems of Parallel and Perpendicular Axes), Rolling Without Slipping, Angular Kinematics

Newton’s Law of Gravitation, Gravitational Field and Potential, Orbital Velocity, Escape Velocity, Satellites (Geostationary, Polar), Kepler’s Laws

Elasticity (Stress, Strain, Moduli), Pressure in Fluids, Archimedes’ Principle, Pascal’s Law, Bernoulli’s Theorem, Viscosity (Stokes’ Law), Surface Tension, Capillarity

Simple Harmonic Motion (SHM), Displacement, Velocity and Acceleration in SHM, Energy in SHM, Simple Pendulum, Spring-Mass Systems, Damped and Forced Oscillations, Resonance

Progressive Waves, Speed of Sound, Reflection and Transmission, Standing Waves, Beats, Doppler Effect, Resonance in Pipes and Strings

Temperature Scales, Thermal Expansion, Specific Heat, Calorimetry, Latent Heat, Conduction, Convection and Radiation, Laws of Thermodynamics, Carnot Engine, Entropy, Kinetic Theory of Gases, Maxwell’s Speed Distribution

Coulomb’s Law, Electric Field and Field Lines, Gauss’s Law, Electric Potential and Potential Energy, Capacitance, Capacitors in Series and Parallel, Dielectrics, Energy Stored in a Capacitor

Ohm’s Law, Resistivity, Drift Velocity, Kirchhoff’s Laws, Wheatstone Bridge, Metre Bridge, Potentiometer, Cells in Series and Parallel, Internal Resistance, Joule’s Law

Biot-Savart Law, Ampere’s Circuital Law, Force on a Current-Carrying Conductor, Moving Coil Galvanometer, Cyclotron, Solenoid and Toroid

Magnetic Dipole, Bar Magnet, Earth’s Magnetism, Para-, Dia-, and Ferromagnetism, Hysteresis

Faraday’s and Lenz’s Laws, Motional EMF, Self and Mutual Inductance, AC Generator, Transformer, RMS Values, Reactance and Impedance, LCR Series Circuit, Resonance, Power Factor

Reflection at Mirrors (Concave, Convex), Refraction at Plane and Curved Surfaces, Total Internal Reflection, Prism, Lenses (Thin Lens Formula, Power), Lens Maker’s Equation, Optical Instruments: Microscope and Telescope

Huygens’ Principle, Young’s Double Slit Experiment, Fringe Width, Diffraction at a Single Slit, Resolving Power, Polarisation (Malus’ Law, Brewster’s Angle)

Photoelectric Effect, de Broglie Hypothesis, Bohr’s Model, Hydrogen Spectrum, Radioactivity (α, β, γ Decay), Nuclear Binding Energy, Mass Defect, Fission and Fusion, Semiconductor Devices (p-n junction, Diode, Transistor, Logic Gates)

Bohr’s Model, Quantum Numbers (n, l, m, s), Aufbau Principle, Pauli’s Exclusion Principle, Hund’s Rule, Electronic Configuration, Dual Nature of Electron, Heisenberg’s Uncertainty Principle, Shapes of s, p, d Orbitals

Ionic and Covalent Bond, VSEPR Theory, Hybridisation (sp, sp2, sp3, sp3d), Molecular Orbital Theory (H2, O2, N2), Hydrogen Bonding (Intra and Inter-molecular), Coordinate Bond, Dipole Moment

Periodic Law, s, p, d, f Blocks, Trends in Atomic Radius, Ionisation Energy, Electron Affinity, Electronegativity, Metallic and Non-metallic Character

Law of Mass Action, Equilibrium Constant (Kc and Kp), Le Chatelier’s Principle, Degree of Dissociation; Rate Laws, Order and Molecularity, Arrhenius Equation, Activation Energy, First-Order Reactions, Half-Life

Arrhenius, Brønsted-Lowry, and Lewis Acid-Base Theories, pH Scale, Buffer Solutions, Hydrolysis of Salts, Solubility Product (Ksp), Common Ion Effect

Enthalpy (ΔH), Exothermic and Endothermic Reactions, Hess’s Law, Bond Enthalpies, Combustion and Formation Enthalpies, Spontaneity, Gibbs Free Energy (ΔG), Entropy

Raoult’s Law, Relative Lowering of Vapour Pressure, Elevation in Boiling Point, Depression in Freezing Point, Osmotic Pressure, Van’t Hoff Factor, Abnormal Molar Mass

Oxidation State, Balancing Redox Equations (Ion-Electron Method), Electrochemical Cells, Standard Electrode Potential, Nernst Equation, Electrolysis, Faraday’s Laws, Corrosion

Lyophilic and Lyophobic Colloids, Tyndall Effect, Brownian Motion, Coagulation, Adsorption, Catalysis (Homogeneous and Heterogeneous), Emulsions

Group 1 and 2: Properties, Anomalous Behaviour of Li and Be; Compounds of Na, K, Mg, Ca; p-Block: Boron (Borax, BN), Carbon Family, Nitrogen Family (Ammonia, HNO3, Phosphorus Allotropes), Oxygen Family (SO2, SO3, H2SO4), Halogens (HF, HCl, Interhalogen Compounds), Noble Gases

Transition Metals: Variable Oxidation States, Colour, Catalytic Properties; Coordination Compounds: Werner’s Theory, IUPAC Nomenclature, Isomerism (Structural and Stereo), Bonding (VBT and CFT), Lanthanoids and Actinoids

Hybridisation, Inductive, Mesomeric (Resonance), and Hyperconjugation Effects; Reaction Intermediates (Carbocation, Carbanion, Free Radical); Types of Reactions (SN1, SN2, E1, E2, EAS); Structural, Geometric (cis-trans), and Optical Isomerism

Alkanes (Free Radical Halogenation), Alkenes (Markovnikov Addition, Ozonolysis), Alkynes (Acidic Character, Addition Reactions), Benzene (Aromaticity, Electrophilic Substitution: Nitration, Sulfonation, Friedel-Crafts Reactions)

Haloalkanes and Haloarenes; Alcohols, Phenols and Ethers; Aldehydes and Ketones (Nucleophilic Addition, Cannizzaro, Aldol Condensation); Carboxylic Acids and Derivatives (Esterification, Hydrolysis); Amines (Basicity, Diazotization, Coupling Reactions)

Carbohydrates: Monosaccharides, Disaccharides, Polysaccharides (Glucose, Fructose, Sucrose, Starch, Cellulose); Proteins: Amino Acids, Peptide Bond, Primary to Quaternary Structure; Nucleic Acids (DNA, RNA); Vitamins; Polymers: Addition and Condensation Polymers, Natural and Synthetic Rubber, Nylon, Polyester, Bakelite

Set Operations (Union, Intersection, Complement, Difference), Venn Diagrams, Relations (Reflexive, Symmetric, Transitive, Equivalence), Types of Functions (Injective, Surjective, Bijective), Composition and Inverse Functions

Argand Plane, Modulus and Argument, Polar Form, De Moivre’s Theorem, Roots of Complex Numbers, Quadratic Formula, Discriminant, Nature of Roots, Roots and Coefficients Relationship

Matrices (Addition, Multiplication, Transpose, Adjoint, Inverse), Determinants (Properties, Expansion, Cramer’s Rule), Binomial Theorem (General Term, Middle Term), Sequences and Series (AP, GP, HP, AM-GM Inequality), Permutations and Combinations (nCr, nPr, Counting Principles)

Trigonometric Ratios, Allied Angles, Compound Angles, Multiple and Sub-multiple Angle Formulas, Sum-to-Product and Product-to-Sum Transformations, Trigonometric Equations, Inverse Trigonometric Functions, Properties of Triangles (Sine Rule, Cosine Rule), Heights and Distances

Straight Lines: Distance Formula, Section Formula, Slope, Equations (Slope-Intercept, Point-Slope, Normal Form), Angle Between Lines, Distance of a Point from a Line, Family of Lines; Circles: Standard and General Equations, Chord of Contact, Tangent and Normal; Conic Sections: Parabola (Standard Equations, Focus-Directrix, Tangent), Ellipse (Major/Minor Axes, Eccentricity), Hyperbola (Asymptotes, Standard Form)

Limits (Algebraic, Trigonometric, Exponential, Logarithmic), Continuity and Differentiability, Differentiation Rules (Chain Rule, Product Rule, Quotient Rule), Implicit and Parametric Differentiation, Higher-Order Derivatives, Rolle’s Theorem, Mean Value Theorem, Application of Derivatives: Tangents and Normals, Maxima and Minima, Rate of Change

Standard Integrals, Integration by Substitution, by Parts, by Partial Fractions, Definite Integrals (Properties, Reduction Formulas), Area Under a Curve; Differential Equations: Formation, Separation of Variables, Homogeneous Equations, Linear First-Order Equations

Vectors: Position Vectors, Addition, Subtraction, Scalar Multiplication, Dot Product, Cross Product, Scalar Triple Product; 3D Geometry: Direction Cosines and Ratios, Equation of a Line (Vector and Cartesian), Equation of a Plane, Angle Between Line and Plane, Skew Lines, Distance Between Two Planes

Measures of Central Tendency, Variance, Standard Deviation, Mean Deviation; Classical and Axiomatic Probability, Conditional Probability, Bayes’ Theorem, Bernoulli Trials, Binomial Distribution; Linear Programming: Objective Function, Feasible Region, Graphical Method