Thursday, February 16, 2012

Physics Syllabus for IITJEE

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 I:

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.
Law of gravitation
Gravitational potential and field
Acceleration due to gravity
Motion of planets and satellites in circular orbits
Escape velocity.

Mechanics II:

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.
Hooke’s law
Young’s modulus.

FLUID MECHANICS:

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.

WAVES AND OSCILLATION:

Linear and angular simple harmonic motions.
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).

Thermodynamics:

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)
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’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
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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