Unit 1: Physics and Measurement

Introduction to Measurement in Physics

Measurement forms the foundation of experimental physics, enabling the quantification of physical phenomena. Understanding units, errors, and dimensional analysis is essential for accurate scientific work.

• Units of Measurement: Fundamental and derived units, SI system, and other systems of units.

• Least Count and Significant Figures: Precision in measurement, rules for counting significant digits.

• Errors in Measurement: Types of errors (systematic, random), estimation, and minimization.

• Dimensional Analysis: Checking the consistency of equations, deriving relations, and converting units.

Unit 2: Kinematics

Describing Motion

Kinematics deals with the description of motion without considering its causes. It includes the study of motion in one and two dimensions, vectors, and graphical analysis.

• Frame of Reference: The perspective from which motion is observed and measured.

• 1D Motion: Position-time, velocity-time graphs, uniform and non-uniform motion, average and instantaneous velocity.

• Uniformly Accelerated Motion: Equations of motion, graphical representation.

• Vectors: Scalars vs. vectors, vector addition/subtraction, unit vectors, resolution of vectors.

• Relative Velocity: Calculation and significance in different frames.

• 2D Motion: Projectile motion, uniform circular motion, and their equations.

Unit 3: Laws of Motion

Forces and Dynamics

This unit explores the fundamental laws governing motion, friction, and equilibrium.

• Newton's Laws: First (inertia), Second (F=ma), Third (action-reaction).

• Momentum and Impulse: Conservation of linear momentum and its applications.

• Friction: Static, kinetic, rolling friction; laws of friction.

• Dynamics of Circular Motion: Centripetal force, applications to vehicles on roads.

Unit 4: Work, Energy, and Power

Energy Transformations

Understanding how forces do work, and how energy is conserved and transferred, is central to physics.

• Work: Work done by constant and variable forces.

• Energy: Kinetic and potential energy, work-energy theorem.

• Power: Rate of doing work.

• Conservation of Energy: Mechanical energy conservation, potential energy of a spring.

• Collisions: Elastic and inelastic collisions in one and two dimensions.

Unit 5: Rotational Motion

Rotation of Bodies

Rotational motion extends the concepts of linear motion to objects rotating about an axis.

• Centre of Mass: Calculation for two-particle systems and rigid bodies.

• Rotational Dynamics: Moment of force (torque), angular momentum, conservation laws.

• Moment of Inertia: Definition, radius of gyration, parallel and perpendicular axes theorems.

• Equilibrium and Comparison: Linear vs. rotational motion.

Unit 6: Gravitation

Universal Law of Gravitation

Gravitation explains the attraction between masses and governs planetary motion.

• Newton's Law of Gravitation: Universal force between masses.

• Acceleration Due to Gravity: Variation with altitude and depth.

• Kepler's Laws: Planetary motion.

• Gravitational Potential and Energy: Escape velocity, satellite motion.

Unit 7: Properties of Solids and Liquids

Elasticity, Fluids, and Surface Phenomena

This unit covers the mechanical properties of solids and fluids, including elasticity, viscosity, and surface tension.

• Elastic Behaviour: Stress-strain relationship, Hooke's Law, Young's modulus, bulk modulus, modulus of rigidity.

• Fluid Pressure: Pascal's law, effect of gravity, pressure due to fluid column.

• Viscosity: Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity.

• Bernoulli's Principle: Applications in fluid dynamics.

• Surface Tension: Surface energy, angle of contact, capillary rise, applications.

• Heat and Temperature: Thermal expansion, specific heat, calorimetry, latent heat, heat transfer (conduction, convection, radiation).

Unit 8: Thermodynamics

Heat, Work, and Laws of Thermodynamics

Thermodynamics studies the relationships between heat, work, and energy.

• Thermal Equilibrium: Zeroth law, concept of temperature.

• First Law: Internal energy, work, heat, isothermal and adiabatic processes.

• Second Law: Reversible and irreversible processes, entropy.

Unit 9: Kinetic Theory of Gases

Molecular Model of Gases

Kinetic theory explains the macroscopic properties of gases in terms of molecular motion.

• Equation of State: Ideal gas law, work done during compression.

• Kinetic Theory: Assumptions, pressure, temperature interpretation, RMS speed, degrees of freedom.

• Law of Equipartition of Energy: Applications to specific heat capacities.

• Mean Free Path and Avogadro's Number: Definitions and significance.

Unit 10: Oscillations and Waves

Periodic Motion and Wave Phenomena

This unit covers oscillatory motion, simple harmonic motion, and wave propagation.

• Oscillations: Time period, frequency, displacement, SHM equation, energy in SHM.

• Simple Pendulum: Time period derivation.

• Waves: Longitudinal and transverse, speed, displacement relation, superposition, standing waves, harmonics, beats.

Unit 11: Electrostatics

Electric Charges and Fields

Electrostatics deals with stationary electric charges, their interactions, and fields.

• Coulomb's Law: Force between charges, superposition principle.

• Electric Field: Field due to point charges and dipoles, field lines, torque on dipole.

• Gauss's Law: Applications to wires, planes, shells.

• Electric Potential: Calculation for charges and dipoles, potential energy.

• Conductors, Insulators, Dielectrics: Polarization, capacitors, energy storage.

Unit 12: Current Electricity

Electric Currents and Circuits

This unit explores the flow of electric charge, Ohm's law, and circuit analysis.

• Electric Current: Drift velocity, mobility, Ohm's law.

• Resistance: V-I characteristics, resistivity, temperature dependence.

• Combinations: Series and parallel resistors, cells, internal resistance.

• Kirchhoff's Laws: Applications, Wheatstone bridge, metre bridge.

Unit 13: Magnetic Effects of Current and Magnetism

Magnetic Fields and Their Sources

This unit covers the generation of magnetic fields by currents and the properties of magnets.

• Biot-Savart Law: Field due to current loops.

• Ampere's Law: Applications to wires and solenoids.

• Forces: On moving charges, current-carrying conductors, parallel wires.

• Magnetic Dipoles: Bar magnets, field lines, torque, types of magnetic materials.

Unit 14: Electromagnetic Induction and Alternating Currents

Changing Magnetic Fields and AC Circuits

Electromagnetic induction explains how changing magnetic fields induce currents, leading to AC circuits and devices.

• Faraday's Law: Induced emf, Lenz's law, eddy currents.

• Inductance: Self and mutual inductance.

• Alternating Currents: Peak/RMS values, reactance, impedance, resonance, power, generators, transformers.

Unit 15: Electromagnetic Waves

Nature and Applications of EM Waves

This unit discusses the properties, spectrum, and uses of electromagnetic waves.

• Displacement Current: Maxwell's correction to Ampere's law.

• EM Waves: Transverse nature, spectrum (radio to gamma rays), applications.

Unit 16: Optics

Light: Reflection, Refraction, and Wave Phenomena

Optics covers the behavior of light, including geometric and wave aspects.

• Reflection and Refraction: Spherical mirrors, lenses, mirror/lens formulas, total internal reflection.

• Optical Instruments: Magnification, microscopes, telescopes.

• Wave Optics: Huygens' principle, interference, diffraction, polarization, Young's double-slit experiment.

Unit 17: Dual Nature of Matter and Radiation

Wave-Particle Duality

This unit introduces the dual nature of light and matter, including the photoelectric effect and de Broglie hypothesis.

• Photoelectric Effect: Einstein's equation, particle nature of light.

• Matter Waves: de Broglie relation, wave nature of particles.

Unit 18: Atoms and Nuclei

Atomic and Nuclear Structure

This unit explores atomic models, nuclear structure, and nuclear reactions.

• Atomic Models: Rutherford, Bohr, hydrogen spectrum.

• Nucleus: Composition, size, mass-energy relation, binding energy, fission, fusion.

Unit 19: Electronic Devices

Semiconductors and Logic Gates

This unit covers the basics of semiconductors, diodes, and digital logic.

• Semiconductors: Diode characteristics, rectifiers, LEDs, photodiodes, solar cells, Zener diodes.

• Logic Gates: OR, AND, NOT, NAND, NOR gates.

Unit 20: Experimental Skills

Laboratory Techniques and Measurements

Familiarity with basic laboratory instruments and experiments is essential for practical physics.

• Measurement Tools: Vernier calipers, screw gauge, metre scale.

• Experiments: Simple pendulum, Young's modulus, surface tension, viscosity, speed of sound, specific heat, resistivity, Ohm's law, galvanometer, focal length of mirrors/lenses, prism deviation, refractive index, diode/Zener characteristics, identification of components.