Mechanics & General properties of matter
(i) Units and dimensions : Units of measurement, system of units, fundamental and derived units, S I units,
dimensional analysis.
Methods of measurement: Vernier scale, screw gauge, analysis of errors, significant figures.
(ii) Scalars and vectors: Addition, subtraction, multiplication of vectors.
(iii) Kinematics in one, two and three dimensions, projectiles, uniform circular motion, centripetal force,
centrifigual force, relative velocity.
(iv) Dynamics: Newton’s laws of motion; inertial frames, uniformly accelerated frame (pseudo-forces),
conservation of linear momentum, rocket motion, centre of mass, impulsive forces, friction.
(v) Work, Power and Energy , conservative and non-conservative forces, conservation of energy, collision
(elastic and inelastic)
(vi) Rotational motion : Torque, angular momentum and conservation of angular momentum, moment of
inertia, radius of gyration, moment of inertia of objects with simple geometrical shapes, rotational kinetic
energy and rolling on horizontal surface.
Gravitation: Laws of gravitation, gravitational field and potential, acceleration due to gravity and its
variation, escape velocity, Kepler’s laws and planetary motion, motion of satellites, Geostationary orbit.
Elasticity : Hooke’s law, elastic modulii, Poisson’s ratio, elastic energy.
Hydrostatics and fluid mechanics: Pressure in a fluid, Pascal’s law, Archimedes’ principle, hydraulic
press.
Surface energy and surface tension, capillary rise.
Viscosity, streamline and turbulent motion, critical velocity, Reynold’s number, Stoke’s law, Bernoulli’s
theorem.
Vibrations:
Simple Harmonic Motion, equation of motion, damped and forced vibrations, resonance, superposition of
SHM.
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Wave motion: Elastic waves, longitudinal and transverse waves, progressive waves, superposition of
waves: interference, stationary waves, beats, vibration of strings, air columns, velocity of elastic waves in
different media, Doppler effect.
Thermal Physics: Scales of temperature, thermal expansion of solids, liquids and gases, calorimetry,
change of state of matter, latent heat, transition temperature, Transmission of heat: conduction, convection,
radiation, Black body radiation, absorptive and emissive powers: Kirchoffs law, Wien’s law, Stefan’s law,
Newton’s law of cooling, Kinetic theory : mean free path, pressure of an ideal gas, mean and rms velocity
of molecules of a gas, kinetic interpretation of temperature, degrees of freedom, equipartition of
energy(statement only) - application to monoatomic and diatomic gases.
Thermodynamics: first law of thermodynamics, equivalence of heat and work, intensive and extensive
thermodynamic variables, reversible and irreversible processes, specific heats of gases, relation between
Cp and Cv.
Optics : reflection and refraction at plane and spherical surfaces, total internal reflection, thin lenses,
power of a lens, combination of lenses and mirrors, deviation and dispersion by prisms.
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