Syllabus  ( for Entrance)


 

Paper 1

a) PHYSICS

MECHANICS :
Unit and dimensions, displacement, velocity, acceleration, kinematics in one and two dimensions, projectiles, circular motion, concept of relative motion.

Newton’s laws of motion, concepts of inertial and uniformly accelerated frames. Force, spring force, frictional force, and gravitational force. Work, energy and power, momentum, conservation of momentum and energy. Linear and angular momentum, simple harmonic motion.

Universal law of gravitation, gravitational potential and field, acceleration due to gravity, motion of planets and satellites in circular orbits, Kepler’s laws.

System of particles, Center of mass and its motion, elastic and inelastic collisions. Rigid bodies, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of simple geometrical shapes, i.e. uniform ring, disc, thin rod, cylinder. Angular momentum, its conservation, torque, equilibrium of rigid bodies.

Hook’s law; Young’s shear and bulk modulus. Principle of buoyancy, pressure in fluid, streamlined flow, Bernoulli’s theorem.

Wave motion, concepts of amplitude, frequency and phase. Longitudinal and transverse waves, superposition of waves, progressive and stationary waves. Vibration of strings and air columns, resonance, beats, velocity of sound echo, Doppler effect.

HEAT AND THERMODYNAMICS :
Thermal expansion of solids, liquids and gases, ideal gas laws, absolute temperature, specific heats and their ratio, Isothermal and adiabatic processes. First law of thermodynamics. Calorimetry, latent heat, equivalence of heat and work, Heat conduction in one dimension, convection and elementary concepts of radiation. Stefan’s law of radiation. Wien’s displacement law, Newton’s law of cooling.
Elements of the kinetic theory of gases. Pressure and temperature of an ideal gas.

ELECTROSTATICS :
Coulomb’s Law, electric field and electric potential, lines of force, capacitance, dielectric constant, parallel plate capacitor, capacitors in series and parallel. Energy stored in capacitor, charging and discharging of capacitor.

CURRENT ELECTRICITY :
Electric current, Ohm’s law, series and parallel arrangements of resistance’s and cells. Kirchoff’s laws and applications to networks. Heating effect of current. Biot-Savart’s law, force on a moving charge and on a current carrying wire in a magnetic field, magnetic moment of a current loop, effect of a uniform magnetic field on a current loop, moving coil galvanometer, voltmeter, ammeter. Growth and decay of current in L-R and C-R circuits. Electromagnetic induction, Faraday’s law, Lenz’s law, definitions of self and mutual inductance. A. C Generator, LCR circuit with A.C. Phasor diagrams and L-C oscillations.

OPTICS :
Rectilinear propagation of light, light reflection and refraction at plane and curved surfaces. Total internal reflection and critical angle. Deviation and dispersion of light by a prism. Thin lenses, Spherical aberration, microscope, telescope.
Wave nature of light, interference. Young’s double slit experiment, fringe width, elementary concepts of diffraction by a single slit.

ATOMIC AND NUCLEAR PHYSICS :
Radioactivity : alpha, beta and gamma radiations, law of radioactive decay, decay constant, half- life and mean life Photoelectric effect. de-Broglie wavelength, Bohr’s theory of hydrogen- like atoms. Production of characteristic and continuous X-ray. Atomic nucleus, binding energy and its calculation. Fission and fusion processes, energy calculation in these processes.

SEMICONDUCTOR PHYSICS AND ELECTRONICS :
Elementary concepts of metals. Insulators and semiconductors, Intrinsic and extrinsic semiconductors, p-n junction as an amplifier (in common emitter mode) and an oscillator with quantitative applications.

Continues