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Physics

General

• Dimensions and Units :
  • General Units and dimensions
  • Dimensional analysis
  • Least count
  • Significant figures
• Measurement:
  • Methods of measurement
  • Error analysis for physical quantities pertaining to the following experiments:
    • Vernier calipers
    • Screw gauge (micrometer)
    • Determination of g using simple pendulum
    • Young’s modulus - elasticity of the material Surface tension of water by capillary rise and effect of detergents
    • Specific heat of a liquid using calorimeter
    • Focal length of a concave mirror and a convex lens using u-v method
    • Speed of sound using resonance column
    • Verification of Ohm’s law using voltmeter and ammeter
    • Specific resistance of the material of a wire using meter bridge and post office box

Mechanics

• Kinematics
  • Kinematics in one and two dimensions (Cartesian coordinates only), projectiles
  • Uniform circular motion
  • Relative velocity
  • Newton’s laws of motion
  • Inertial and uniformly accelerated frames of reference
  • Static and dynamic friction;
  • Kinetic and potential energy
  • Work and power
  • Conservation of linear momentum and mechanical energy
  • Systems of particles; Centre of mass and its motion
  • Impulse; Elastic and inelastic collisions
  • Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes
  • Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies
  • Collision of point masses with rigid bodies. Forced and damped oscillation (in one dimension), resonance.
  • Linear and angular simple harmonic motions. Hooke’s law, Young’s modulus.
• Gravity
  • Law of gravitation
  • Gravitational potential and field
  • Acceleration due to gravity
  • Kepler’s law
  • Geostationary orbits, Motion of planets and satellites in circular orbits;
  • Escape velocity.
• Properties of Liquid :
  • Pressure in a fluid
  • Pascal’s law
  • Buoyancy
  • Surface energy and surface tension
  • angle of contact, drops, bubbles and capillary rise.
  • Viscosity (Poiseuille’s equation excluded)
  • Modulus of rigidity and bulk modulus in mechanics.
  • Stoke’s law
  • Terminal velocity, Streamline flow, equation of continuity
  • Bernoulli’s theorem and its applications
• Waves and Sound
  • Wave motion (plane waves only)
  • longitudinal and transverse waves
  • superposition of waves
  • Progressive and stationary waves
  • Vibration of strings and air columns
  • Resonance , Beats
  • Speed of sound in gases; Doppler effect (in sound)

Thermal Physics

• Thermal expansion of solids, liquids and gases
• Calorimetry, latent heat
• Heat conduction in one dimension
• Elementary concepts of convection and radiation
• Newton’s law of cooling
• Ideal gas laws
• Specific heats (Cv and Cp for monoatomic and diatomic gases)
• Isothermal and adiabatic processes, bulk modulus of gases
• Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases)
• Second law of thermodynamics, reversible and irreversible processes
• Carnot engine and its efficiency
• Blackbody radiation: absorptive and emissive powers;
• Kirchhoff’s law; Wien’s displacement law, Stefan’s law.

Electricity and Magnestism

• Static Electricity :
  • Coulomb’s law
  • Electric field and potential
  • Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field
  • Electric field lines
  • Flux of electric field
  • Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
  • Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.
• Dynamic Electricity :
  • Electric current
  • Ohm’s law
  • Series and parallel arrangements of resistances and cells
  • Kirchhoff’s laws and simple applications
  • Heating effect of current.
• Magnetism :
  • Biot–Savart’s law and Ampere’s law;
  • Magnetic field near a current-carrying straight wire along the axis of a circular coil and inside a long straight solenoid
  • Force on a moving charge and on a current-carrying wire in a uniform magnetic field
  • Magnetic moment of a current loop
  • Effect of a uniform magnetic field on a current loop
• Measurement devices :
  • Moving coil galvanometer
  • voltmeter, ammeter and their conversions.
• Electromagnetic induction :
  • Faraday’s law
  • Lenz’s law
  • Self and mutual inductance
  • RC, LR, LC and LCR(in series) circuits with d.c. and a.c. sources.

Optics

• Ray optics :
  • Rectilinear propagation of light
  • Reflection and refraction at plane and spherical surfaces
  • Total internal reflection
  • Deviation and dispersion of light by a prism , Thin lenses
  • Combinations of mirrors and thin lenses - Magnification.
• Wave optics :
  • Wave nature of light: Huygen’s principle
  • interference limited to Young’s double slit experiment.
  • Diffraction due to a single slit.
  • Polarization of light, plane polarized light
  • Brewster's law, Polaroids.

Electromagtic Waves

• Electromagnetic waves and their characteristics.
• Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays) including elementary facts about their uses.

Modern Physics

• Atomic nucleus
• α, β and γ radiations
• Law of radioactive decay
• Decay constant
• Half-life and mean life
• Binding energy and its calculation
• Fission and fusion processes
• Energy calculation in these processes.
• Photoelectric effect
• Bohr’s theory of hydrogen-like atoms
• Characteristic and continuous X-rays
• Moseley’s law
• de Broglie wavelength of matter waves.