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Class

Units

Class 11

Sets

Relations and Functions

Trigonometric Functions

Principle of Mathematical Induction

Algebra

Linear and Quadratic Inequalities

Permutation and Combination

Binomial Theorem

Sequences and Series

Co-ordinate Geometry

Conic Section

Introduction to Three-dimensional Geometry

Calculus

Probability

Class 12

Relations and Functions

Inverse trigonometric functions

Matrices

Determinants

Adjoint and Inverse of a matrix

Differentiability

Applications of Derivatives

Indefinite Integrals

Definite integrals

Application of the integrals

Differential Equations

Vectors Threedimensional Geometry

Probability

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Class

Unit

Topics

Class 11

Physical World and Measurement

Physics - scope and excitement; nature of physical laws; Physics, technology and society. Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures. Dimensions of physical quantities, dimensional analysis and its applications.

Kinematics

Frame of reference, Motion in a straight line: Position-time graph, speed and velocity. Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity-time and position-time graphs. Relations for uniformly accelerated motion (graphical treatment). Scalar and vector quantities; Position and displacement vectors, equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity. Unit vector; Resolution of a vector in a plane - rectangular components. Motion in a plane.Cases of uniform velocity and uniform acceleration-projectile motion.

Uniform circular motion.

Laws of Motion

Intuitive concept of force. Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse; Newton's third law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, lubrication. Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on banked road).

Work, Energy, and Power

Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power. Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: motion in a vertical circle.

Motion of System of Particles and Rigid Body

Centre of mass of a two-particle system, momentum conservation and centre of mass. Centre of mass of a rigid body; centre of mass of a uniform rod. Moment of a force, torque, angular momentum, laws of conservation of angular momentum and its applications. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions. Moment of inertia, radius of gyration.Values of moments of inertia, for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.

Gravitation

Keplar's laws of planetary motion.The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Gravitational potential energy and gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.

Properties of Bulk Matter

Elastic behaviour, Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, shear modulus of rigidity, Poisson's ratio; elastic energy. Pressure due to a fluid column; Pascal's law and its applications. Effect of gravity on fluid. Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity. Bernoulli's theorem and its applications. Surface energy and surface tension, angle of contact, excess of] pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise. Heat, temperature, thermal expansion; thermal expansion of solids, liquids and gases, anomalous expansion of water; specific heat capacity; Cp, Cv - calorimetry; change of state - latent heat capacity. Heat, temperature, thermal expansion; thermal expansion of solids, liquids and gases, anomalous expansion of water; specific heat capacity; Cp, Cv - calorimetry; change of state - latent heat capacity.

Thermodynamics

Thermal equilibrium and definition of temperature (zeroth law of thermodynamics).Heat, work and internal energy. First law of thermodynamics. Isothermal and adiabatic processes. Second law of thermodynamics: reversible and irreversible processes. Heat engine and refrigerator.

Behavior of Perfect Gases and Kinetic Theory of Gases

Equation of state of a perfect gas, work done in compressing a gas. Kinetic theory of gases - assumptions, concept of pressure. Kinetic interpretation of temperature; rms speed of gas molecules; degrees of freedom, law of equi-partition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path, Avogadro's number.

Oscillations and Waves

Periodic motion - time period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a spring-restoring force and force constant; energy in S.H.M. Kinetic and potential energies; simple pendulum derivation of expression for its time period. Free, forced and damped oscillations (qualitative ideas only), resonance. Wave motion. Transverse and longitudinal waves, speed of wave motion. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler.

Class 12

Electrostatics

Electric Charges; Conservation of charge, Coulomb’s law-force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in uniform electric field. Electric flux, statement of Gauss’s theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside). Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field. Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarisation, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor. Van de Graaff generator.

Current Electricity

Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current; Ohm’s law, electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and conductivity. temperature dependence of resistance. Internal resistance of a cell, potential difference and emf of a cell, combination of cells in series and in parallel. Kirchhoff’s laws and simple applications. Wheatstone bridge, metre bridge. Potentiometer - principle and its applications to measure potential difference and for comparing emf of two cells; measurement of internal resistance of a cell.

Magnetic Effects of Current and Magnetism

Concept of magnetic field, Oersted’s experiment. Biot - Savart law and its application to current carrying circular loop. Ampere’s law and its applications to infinitely long straight wire. Straight and toroidal solenoids, Force on a moving charge in uniform magnetic and electric fields. Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel current-carrying conductors-definition of ampere. Torque experienced by a current loop in a uniform magnetic field; moving coil galvanometer- its current sensitivity. Current loop as a magnetic dipole and its magnetic dipole moment. Magnetic dipole moment of a revolving electron. Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements. Para-, dia- and ferro- magnetic substances, with examples. Electromagnets and factors affecting their strengths. Permanent magnets

Electromagnetic Induction and Alternating Currents

Electromagnetic induction; Faraday’s laws, induced emf and current; Lenz’s Law, Self and mutual induction. Alternating currents, peak and rms value of alternating current/voltage; reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in AC circuits, wattless current, AC generator and transformer.

Electromagnetic waves

Electromagnetic waves and their characteristics (qualitative ideas only). Transverse nature of electromagnetic waves. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses

Optics

Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection and its applications, optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lensmaker’s formula. Magnification, power of a lens, combination of thin lenses in contact combination of a lens and a mirror. Refraction and dispersion of light through a prism. Scattering of light-blue colour of the sky and reddish appearance of the sun at sunrise and sunset.

Dual Nature of Matter and Radiation

Dual nature of radiation. Photoelectric effect, Einstein’s photoelectric equation-particle nature of light. Matter waves-wave nature of particles, de Broglie relation. Davisson-Germer experiment (experimental details should be omitted; only the conclusion should be explained).

Atoms & Nuclei

Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen. Radioactivity alpha, beta and gamma particles/rays and their properties; radioactive decay law. Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission, nuclear fusion.

Electronic Devices

Energy bands in solids (Qualitative ideas only) conductors, insulators and semiconductors; semiconductor diode – I-V characteristics in forward and reverse bias, diode as a rectifier; I-V characteristics of LED, photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor, transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch.

Communication Systems

Elements of a communication system (block diagram only); bandwidth of signals (speech, TV and digital data); bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation. Need for modulation. Production and detection of an amplitude-modulated wave.

Class

Units

Topics

Class 11 & 12

Atomic Structure

Introduction to Structure of Atom, Atomic models, Quantum Mechanical Model, Shapes of Atomic Orbitals, Rules for Filling Electrons in Orbitals, Stability of Completely Filled and half-filled Orbitals.

Chemical Bonding

Types of Chemical Bonds, Valence Bond Theory, Molecular Orbital Theory, Hydrogen Bond.

States of Matter: Gases and Liquids

Intermolecular Forces, Laws Governing Gaseous State, Ideal Behaviour, Deviation from Ideal Behaviour, Liquefaction of Gases, Liquid State

Thermodynamics

Thermodynamic Terms, Thermodynamic Quantities, First Law of Thermodynamics, Thermochemistry, Spontaneity, Third Law of Thermodynamics,.

Chemical Equilibrium

Introduction to Equilibrium, Equilibrium in Physical Processes, Equilibrium in Chemical Processes, Types of Chemical Equilibria, Applications, of Equilibrium Constant, Factors Affecting Equilibria, Ionic Equilibrium in Solution, Ionization of Acids and Bases, Buffer Solutions, Solubility Equilibria of Sparingly, Soluble Salts

Solid State

Introduction to Solid State Chemistry, Classification of Solids on the Basis of Order in the Arrangement, Crystal Lattices and Unit Cells, Close Packing in Solids, Imperfections in Solids, Electrical Properties, Magnetic Properties.

Solutions

Introduction to solutions, Types of Solutions, Expressing the Concentration of Solutions of Solids in Liquids, Solubility, Vapour Pressure of Liquid Solutions, Classification of Liquid-Liquid Solutions on the basis of Raoult’s Law, Colligative Properties, Abnormal Molecular Mass.

Redox reactions and Electrochemistry

Oxidation and Reduction Reactions, Redox Reactions in Terms of Electron Transfer Reactions, Oxidation Number, Types of Redox Reactions, Types of Redox Reactions, Balancing of Redox Reactions, Types of Electrochemical Cells, Electrolysis, Conductance in Electrolytic Solutions, Corrosion.

Block & p-Block Elements and metallurgy

S-Block Elements Group 1 Elements & Group 2 Elements, P-Block Elements Group 13, 14, 15, 16, 17 and 18 Elements.

d and f - Block Elements and Coordination Compounds

d-Block elements, F-Block Elements, Coordination Compounds, IUPAC Nomenclature of Coordination Compounds, Valence Bond Theory as Applied to Coordination Compounds, Importance of Coordination Compounds.

Surface Chemistry

Adsorption on a Surface, Catalysis, Colloids.

Chemical Kinetics

Rate of Chemical Reaction, Factors Affecting Rate of a Reaction, Integrated Rate Equations and Half Life, Temperature Dependence of Rate of Reaction, Collision Theory.

Hydrocarbons, Haloalkanes, and Haloarenes

Types of Hybridization of Carbon, Classification of Organic Compounds, IUPAC Nomenclature of Organic Compounds, Stereochemistry and Isomerism, Homolytic and Heterolytic Fission of a Covalent Bond, Basics of Organic Reaction, Electronic Displacements in a Covalent Bond, Aromaticity, Alkanes (Upto 5 Carbon Atoms), Alkenes (Upto 5 Carbon Atoms), Alkynes (Upto 5 Carbon Atoms), Arenes, Haloalkanes and haloarenes.

Oxygen containing Organic compounds

Structure, Preparation of Alcohols and Phenols, Properties of Alcohols, Phenols and Ethers, Preparation of Ethers & Chemical Properties, Physical, Chemical Properties and Uses of Aldehydes and Ketones, Carboxylic acids.

Nitrogen containing Organic compounds

Structure, Preparation of Amines, Physical and Chemical Properties of Amines, Diazonium Salts.

Bio-Molecules and Polymers

Biomolecules, Polymers

Chemistry in everyday life

Chemicals in Medicines, Food, and Hygiene (Soaps and Detergents)

Environmental Chemistry

Environmental, Pollution, Water Pollution, Industrial Pollution.

Subject

Topics

Physics

Gravitation - 3 to 4 questions

Electrostatic - 4 questions

Modern physics - 5 questions

Optics - 5 questions

Maths

Integration - 5 questions

Vector & 3D - 5 to 6 questions

Conic section - 6 questions

Differentiation - 5 questions

Chemistry

Organic chemistry - 10 questions

Solid state and solution - 4 questions

Chemical kinetics - 2 questions

Chemical bonding - 2 to 3 questions

Events

Dates

Mode of Exam

Computer Based Test

Duration

3 hours

Medium of Exam

English

Sections

• Physics

• Chemistry

• Mathematics

Type of Questions

Multiple Choice Questions

Total Number of Questions

180 questions (60 questions per section)

Marking Scheme

1 mark awarded for each correct answer

Negative Marking

No negative marking