COMEDK UGET

Physical World and Measurement

Scope of physics, units of measurement, system of units, dimensional analysis, errors and significant figures.

Kinematics

Motion in a straight line and plane, scalars and vectors, projectile motion, uniform circular motion.

Laws of Motion

Newton's laws, conservation of linear momentum, equilibrium of concurrent forces, friction, dynamics of circular motion.

Work, Energy and Power

Work done by constant and variable forces, kinetic and potential energy, work-energy theorem, conservation of mechanical energy, collisions.

Motion of System of Particles and Rigid Body

Centre of mass, torque, angular momentum, moment of inertia, theorems of perpendicular and parallel axes, rolling motion.

Gravitation

Universal law of gravitation, acceleration due to gravity, gravitational potential energy, Kepler's laws, satellites and escape velocity.

Properties of Bulk Matter

Elasticity, stress-strain, Hooke's law, fluid pressure, Bernoulli's principle, viscosity, surface tension, thermal expansion.

Thermodynamics

Thermal equilibrium, zeroth and first laws, heat, work, internal energy, isothermal and adiabatic processes, second law, heat engines.

Behaviour of Perfect Gases and Kinetic Theory

Equation of state, kinetic theory postulates, RMS velocity, degrees of freedom, mean free path.

Oscillations and Waves

Periodic motion, simple harmonic motion, energy in SHM, simple pendulum, wave motion, superposition, beats, Doppler effect.

Electrostatics

Electric charges, Coulomb's law, electric field and potential, Gauss's law, capacitors and dielectrics.

Current Electricity

Ohm's law, drift velocity, resistivity, Kirchhoff's laws, Wheatstone bridge, potentiometer, internal resistance.

Magnetic Effects of Current and Magnetism

Biot-Savart law, Ampere's law, force on a moving charge and current-carrying conductor, moving coil galvanometer, Earth's magnetism, magnetic materials.

Electromagnetic Induction and Alternating Currents

Faraday's and Lenz's laws, self and mutual inductance, AC generator, LCR circuits, resonance, transformers.

Electromagnetic Waves

Displacement current, properties of EM waves, electromagnetic spectrum and applications.

Optics

Reflection, refraction, lenses, mirrors, dispersion, optical instruments, wave optics — interference, diffraction and polarisation.

Dual Nature of Matter and Radiation

Photoelectric effect, Einstein's equation, particle nature of light, de Broglie hypothesis, Davisson-Germer experiment.

Atoms and Nuclei

Alpha-scattering, Bohr model, hydrogen spectrum, composition of nucleus, mass-energy relation, radioactivity, fission and fusion.

Electronic Devices

Energy bands in solids, semiconductors, p-n junction, diodes, rectifiers, transistors, logic gates.

Communication Systems

Elements of a communication system, propagation of EM waves in atmosphere, modulation — amplitude and frequency.

Some Basic Concepts of Chemistry

Mole concept, stoichiometry, empirical and molecular formulae, laws of chemical combination.

Atomic Structure

Bohr's model, dual nature, quantum numbers, orbitals, Aufbau, Hund's rule, electronic configurations.

States of Matter: Gases and Liquids

Gas laws, ideal gas equation, kinetic theory, real gases, liquefaction, vapour pressure, surface tension and viscosity.

Solid State

Crystalline and amorphous solids, unit cells, packing, density, defects, electrical and magnetic properties.

Chemical Bonding and Molecular Structure

Ionic and covalent bonds, VSEPR, valence bond and MO theories, hybridisation, hydrogen bonding.

Thermodynamics

First and second laws, enthalpy, entropy, Gibbs free energy, Hess's law, spontaneity criteria.

Chemical Equilibrium

Reversible reactions, law of mass action, Kc and Kp, Le Chatelier's principle, applications.

Ionic Equilibrium

Acids, bases and salts, Bronsted-Lowry and Lewis concepts, pH, buffer solutions, solubility product, common ion effect.

Redox Reactions and Electrochemistry

Oxidation states, balancing redox reactions, conductance, electrochemical cells, EMF, Nernst equation, electrolysis, batteries.

Chemical Kinetics

Rate of reaction, order, molecularity, integrated rate equations, half-life, Arrhenius equation, collision theory.

s-Block and p-Block Elements and Metallurgy

Group 1, 2, 13-18 elements — properties, anomalous behaviour, important compounds; principles and processes of isolation of metals.

d- and f-Block Elements and Coordination Compounds

Transition and inner-transition elements, oxidation states, lanthanoid contraction, Werner theory, IUPAC nomenclature, isomerism, CFT.

Solutions

Concentration units, vapour pressure, Raoult's law, colligative properties, abnormal molar mass, van't Hoff factor.

Surface Chemistry

Adsorption, catalysis, colloids, emulsions, micelles, Tyndall effect, Brownian motion.

Hydrocarbons, Haloalkanes and Haloarenes

Alkanes, alkenes, alkynes and aromatic hydrocarbons; preparation and properties of haloalkanes and haloarenes; SN1/SN2.

Oxygen Containing Organic Compounds

Alcohols, phenols, ethers, aldehydes, ketones and carboxylic acids — preparation, properties and uses.

Nitrogen Containing Organic Compounds

Amines, diazonium salts, cyanides and isocyanides — preparation, properties and applications.

Bio-Molecules and Polymers

Carbohydrates, proteins, nucleic acids, vitamins, hormones; classification and types of polymers, polymerisation.

Chemistry in Everyday Life

Drugs and medicines, food chemistry, soaps and detergents, antiseptics and disinfectants.

Environmental Chemistry

Air, water and soil pollution; greenhouse effect; ozone depletion; green chemistry approaches.

Sets, Relations and Functions

Set operations, Cartesian product, types of relations and functions, composition and inverse.

Trigonometric Functions

Trigonometric ratios, identities, equations, properties of triangles, heights and distances.

Principle of Mathematical Induction

Statement and applications of induction in proving algebraic and divisibility statements.

Complex Numbers and Quadratic Equations

Algebra of complex numbers, modulus and argument, polar form, roots of quadratic equations, theory of equations.

Linear and Quadratic Inequalities

Linear inequalities in one and two variables, graphical solution of linear inequalities, quadratic inequalities.

Permutation and Combination

Fundamental principle of counting, nPr and nCr, permutations with repetition, applications.

Binomial Theorem

Binomial theorem for positive integral index, general and middle term, properties of binomial coefficients.

Sequences and Series

Arithmetic, geometric and harmonic progressions; sums of special series; AM-GM inequality.

Straight Lines

Slope, various forms of equations, distance between parallel lines, angle between lines, family of lines.

Conic Sections

Standard equations of circle, parabola, ellipse and hyperbola; tangents and normals.

Introduction to Three-Dimensional Geometry

Coordinates of a point in space, distance and section formulae.

Limits and Derivatives

Limits of standard functions, algebra of limits, derivative as a rate measure.

Statistics

Measures of dispersion, mean deviation, variance and standard deviation of grouped and ungrouped data.

Probability

Random experiments, axiomatic probability, conditional probability, multiplication theorem, Bayes' theorem, Bernoulli trials.

Relations and Functions (Class XII)

Types of relations and functions, composition, invertibility, binary operations.

Inverse Trigonometric Functions

Domain and range of inverse trigonometric functions, properties and elementary identities.

Matrices

Types of matrices, operations on matrices, transpose, symmetric and skew-symmetric matrices, elementary operations, inverse.

Determinants

Determinant of a square matrix up to order 3, properties, area of a triangle, adjoint and inverse, system of linear equations.

Continuity and Differentiability

Continuity, differentiability of standard functions, logarithmic and parametric differentiation, Rolle's and Lagrange's theorems.

Applications of Derivatives

Rate of change, increasing and decreasing functions, tangents and normals, maxima and minima, approximations.

Indefinite Integrals

Integration as inverse of differentiation, integration by substitution, parts and partial fractions.

Definite Integrals

Definite integral as a limit of a sum, fundamental theorem of calculus, properties of definite integrals.

Application of Integrals

Area under simple curves, area between two curves.

Differential Equations

Order, degree, formation, solution by separation of variables, homogeneous and linear ODEs.

Vector Algebra

Vectors, magnitude and direction, scalar and vector products, scalar triple product, applications.

Three Dimensional Geometry

Direction cosines and ratios, equations of lines and planes, distance between lines, angle between line and plane.