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.

Solutions

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

Equilibrium

Chemical equilibrium, Kc and Kp, Le Chatelier's principle, ionic equilibrium, acids and bases, pH, buffer, solubility product.

Redox Reactions and Electrochemistry

Oxidation states, balancing redox reactions, electrochemical cells, EMF, Nernst equation, Kohlrausch's law, electrolysis, batteries.

Chemical Kinetics

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

Surface Chemistry

Adsorption, catalysis, colloids, emulsions, micelles, properties of colloids.

Purification and Characterisation of Organic Compounds

Methods of purification, qualitative and quantitative analysis, determination of empirical and molecular formulae.

Hydrocarbons

Alkanes, alkenes, alkynes and aromatic hydrocarbons — preparation, properties and reactions; aromaticity.

Some Basic Principles of Organic Chemistry

Tetravalence of carbon, isomerism, electronic effects, reactive intermediates, methods of purification.

Organic Compounds Containing Halogens

Haloalkanes and haloarenes — preparation, properties, SN1/SN2 mechanisms, polyhalogen compounds.

Organic Compounds Containing Oxygen

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

Organic Compounds Containing Nitrogen

Amines, nitro compounds, diazonium salts, cyanides, isocyanides — preparation and reactions.

Polymers

Classification, methods of polymerisation, important natural and synthetic polymers, biodegradable polymers.

Biomolecules

Carbohydrates, proteins, enzymes, vitamins, nucleic acids, hormones — structure and biological function.

Chemistry in Everyday Life

Drugs and medicines, food chemistry, soaps and detergents, cleansing agents.

Principles Related to Practical Chemistry

Detection of elements, functional group identification, qualitative analysis of cations and anions, basic titrimetry.

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.

Binomial Theorem and Its Simple Applications

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

Sequence and Series

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

Limit, Continuity and Differentiability

Limits of standard functions, continuity, differentiability, mean value theorems, applications of derivatives.

Integral Calculus

Indefinite integration by substitution, parts and partial fractions; definite integrals and their properties; area under curves.

Differential Equations

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

Co-ordinate Geometry

Straight lines, conic sections — circle, parabola, ellipse and hyperbola; tangent and normal.

Three-Dimensional Geometry

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

Vector Algebra

Addition, scalar and vector products, scalar triple product, applications to geometry.

Statistics and Probability

Measures of dispersion; classical and axiomatic probability, conditional probability, Bayes' theorem, Bernoulli trials.

Trigonometry

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

Mathematical Reasoning

Mathematically acceptable statements, logical connectives, validating statements, contradiction and contrapositive.