OJEE

Physics and Measurement

Units of measurement, system of units, dimensional analysis and its applications, errors and significant figures.

Kinematics

Frame of reference, 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.

Rotational Motion

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 Solids and Liquids

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

Thermodynamics

Thermal equilibrium, zeroth and first laws, isothermal and adiabatic processes, second law, heat engines, refrigerators.

Kinetic Theory of Gases

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

Oscillations and Waves

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

Electrostatics

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, 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 uses.

Optics

Reflection, refraction, lenses, mirrors, prisms, 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 wavelength, 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, rectifier, transistors, logic gates.

Communication Systems

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

Some Basic Concepts in Chemistry

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

States of Matter

Gas laws, ideal gas equation, kinetic theory of gases, real gases, liquefaction, properties of liquids and solids.

Atomic Structure

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

Chemical Bonding and Molecular Structure

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

Chemical Thermodynamics

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

Sets, Relations and Functions

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

Complex Numbers and Quadratic Equations

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

Matrices and Determinants

Algebra of matrices, transpose, determinants up to order 3, properties, adjoint and inverse, system of linear equations.

Permutations and Combinations

Fundamental principle of counting, factorial, nPr and nCr, applications in selection and arrangement.

Mathematical Induction

Principle of mathematical induction and its simple applications in algebraic and divisibility statements.