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Syllabus
Physics
General: Units and dimensions,
dimensional analysis; least count, significant figures;
Methods of measurement and error analysis for physical
quantities pertaining to the following experiments:
Experiments based on using vernier calipers and screw
gauge (micrometer), Determination of g using simple
pendulum, Young's modulus by Searle's method, 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, and specific
resistance of the material of a wire using meter bridge
and post office box.
Mechanics: Kinematics in one and
two dimensions (Cartesian coordinates only), projectiles;
Circular motion (uniform and non-uniform); 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.
Law of gravitation; Gravitational potential
and field; Acceleration due to gravity; Motion of planets
and satellites in circular orbits.
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.
Linear and angular simple harmonic motions.
Hooke's law, Young's modulus.
Pressure in a fluid; Pascal's law; Buoyancy;
Surface energy and surface tension, capillary rise;
Viscosity (Poiseuille's equation excluded), Stoke's
law; Terminal velocity, Streamline flow, Equation of
continuity, Bernoulli's theorem and its applications.
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 monatomic
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). Blackbody radiation: absorptive and
emissive powers; Kirchhoff's law, Wien's displacement
law, Stefan's law.
Electricity and magnetism: 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.
Electric current: Ohm's law; Series and
parallel arrangements of resistances and cells; Kirchhoff's
laws and simple applications; Heating effect of current.
Biot-Savart 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; Moving
coil galvanometer, voltmeter, ammeter and their conversions.
Electromagnetic induction: Faraday's law, Lenz's law; Self and mutual
inductance; RC, LR and LC circuits with d.c. and a.c.
sources.
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 nature of light: Huygen's principle,
interference limited to Young's double-slit experiment.
Modern physics: Atomic nucleus;
Alpha, beta and gamma 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.
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