1. Physics:

• Units and Measurements: SI units, dimensional analysis, significant figures.

• Kinematics: Motion in one, two, and three dimensions, velocity, acceleration, projectile motion, relative motion.

• Laws of Motion: Newton’s laws of motion, friction, circular motion, motion of bodies on an inclined plane.

• Work, Energy, and Power: Work done by a force, kinetic energy, potential energy, conservation of energy, power.

• Gravitation: Universal law of gravitation, acceleration due to gravity, gravitational potential energy, escape velocity, orbital motion of satellites.

• Properties of Bulk Matter: Elasticity, fluid mechanics, surface tension, viscosity, Bernoulli’s theorem.

• Thermodynamics: Laws of thermodynamics, heat engines, entropy, free energy, heat transfer.

• Behavior of Perfect Gas and Kinetic Theory: Gas laws, kinetic theory of gases, Maxwell-Boltzmann distribution.

• Oscillations and Waves: Simple harmonic motion (SHM), wave motion, Doppler effect, sound waves.

• Electrostatics: Electric charge and field, Gauss’s law, potential, capacitors, and dielectrics.

• Current Electricity: Ohm’s law, Kirchhoff’s laws, electric circuits, power, resistors in series and parallel.

• Magnetic Effects of Current and Magnetism: Magnetic field, Ampere’s law, electromagnetic induction, magnetic properties of materials.

• Electromagnetic Waves: Electromagnetic spectrum, properties of electromagnetic waves, light waves.

• Optics: Reflection and refraction, mirrors, lenses, interference, diffraction, polarization.

• Dual Nature of Matter and Radiation: Photoelectric effect, de Broglie’s hypothesis, Bohr’s model.

• Atoms and Nuclei: Atomic structure, radioactivity, nuclear reactions, fission and fusion.

• Electronic Devices: Semiconductors, diodes, transistors, logic gates, communication systems.

2. Chemistry:

• Physical Chemistry:

  • Some Basic Concepts of Chemistry: Atomic structure, mole concept, stoichiometry.

  • States of Matter: Gas laws, ideal and real gases, solid-state chemistry.

  • Atomic Structure: Quantum numbers, electronic configuration, periodic properties.

  • Chemical Bonding and Molecular Structure: Ionic, covalent bonds, VSEPR theory, hybridization, molecular orbital theory.

  • Thermodynamics: Laws of thermodynamics, enthalpy, entropy, Gibbs free energy.

  • Equilibrium: Chemical equilibrium, Le Chatelier’s principle, ionic equilibrium, pH, buffer solutions.

  • Acids and Bases: Strength of acids and bases, pH scale, buffer solutions.

  • Redox Reactions: Oxidation, reduction, balancing redox reactions.

  • Electrochemistry: Electrochemical cells, Nernst equation, batteries, corrosion.

  • Surface Chemistry: Adsorption, catalysis, colloids.

  • Chemical Kinetics: Rate of reaction, factors affecting rate, Arrhenius equation, reaction mechanism.

  • General Principles and Processes of Isolation of Elements: Metallurgy, extraction of metals.

• Inorganic Chemistry:

  • p-Block Elements: Properties and reactions of group 15, 16, 17, 18 elements.

  • d-Block Elements: Transition elements, coordination compounds.

  • f-Block Elements: Lanthanides and actinides.

  • Environmental Chemistry: Air pollution, water pollution, greenhouse gases, acid rain, ozone depletion.

• Organic Chemistry:

  • Basic Concepts of Organic Chemistry: Structure, bonding, functional groups, isomerism.

  • Hydrocarbons: Alkanes, alkenes, alkynes, aromatic compounds.

  • Haloalkanes and Haloarenes: Nomenclature, reactions, uses.

  • Alcohols, Phenols, and Ethers: Structure, preparation, reactions.

  • Aldehydes, Ketones, and Carboxylic Acids: Properties, preparation, reactions.

  • Organic Compounds Containing Nitrogen: Amines, cyanides, isocyanides.

  • Polymers: Types of polymers, polymerization, applications.

  • Biomolecules: Carbohydrates, proteins, lipids, vitamins, enzymes, DNA/RNA.

  • Chemistry in Everyday Life: Drugs, detergents, food additives, and preservatives.

3. Mathematics:

• Algebra:

  • Matrices and determinants, properties, operations, and applications.

  • Quadratic equations, relations and functions, sequence and series.

• Trigonometry:

  • Trigonometric functions, identities, equations, inverse trigonometric functions.

  • Heights and distances, properties of triangles.

• Coordinate Geometry:

  • Straight lines, circles, conic sections, distance formula, section formula, equations of lines.

  • Parabola, ellipse, and hyperbola.

• Calculus:

  • Limits and derivatives, differentiation rules, applications of derivatives (tangent, normal, maxima, minima).

  • Integration, methods of integration, definite and indefinite integrals, area under curves.

  • Differential equations.

• Vectors:

  • Scalar and vector quantities, vector operations, dot and cross products, applications of vectors.

• 3D Geometry:

  • Coordinate axes, plane equations, distance formula, direction ratios, direction cosines.

• Probability:

  • Permutation and combination, probability theory, Bayes’ theorem, random variables, distributions.

• Statistics:

  • Mean, median, mode, standard deviation, variance, correlation, regression.