WEST BENGAL JOINT ENTRANCE EXAMINATIONS BOARD
JEM 2012 - SYLLABUS
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
(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 (pseudoforces), 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
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.
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.