Organisation : National Informatics Centre, Tripura
Announcement : Syllabus
Entrance Exam: Tripura Joint Entrance Examination

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Tripura Joint Entrance Examination Syllabus :
MODULE - 1 :
Unit of measurement, System of units, S.I. units, Fundamental and derived units, Dimensional Analysis.Composition and resolution of vectors, Rectangular components in two & three dimensions, Unit vector, Representation of vectors in term of co-ordinates, Addition & Subtraction of vectors, Multiplication of vectors - scalar product & vector product. Uniformaly accelerated motion, Velocity - time graph Position-time graph, Kinematical equations in one dimension.

Centre of mass, Centre of gravity, Conditions of equilibrium of a system of forces, Moment of a force about a point and an axis, couple, torque. Newton’s laws of motion, Inertial fraame, Impulse & impulsive forces. Conservation of linear momentum, Static and kinetic friction, Projectile motion.

Rotational motion of a particle, Angular momentum and conservation of angular momentum, Moment of inertia, Relation between Torque, Angular momentum, Moment of inertia & Angular acceleration, Rotational kinetic energy, Centripetal force & centrifugal force.Work, energy & power ; Conservative and non-conservative force ; Elastic collision in one dimension.

MODULE - 2 :
Laws of gravitation, Gravitational field & potential ; Acceleration due to gravity and its variation with altitude, depth & rotation of earth ; Escape velocity, Kepler’s laws of planetary motion (rigorous proof is not required), Geostationary satellite Elasticity, Elastic behaviour, Hooke’s Law of elasticity, Elastic module, Poisson’s ratio, Elastic Energy. Pascal’s law, Principle of multiplication of thrust & its application, Hydraulic press. Archimedes’ principle and its application, Atmospheric pressure, Torricelli’s Expt., Fortin’s Barometer.

Surface energy and surface tension, Capillarity, Streamline and turbulent motion, Newton’s law of viscous force, Coefficient of viscosity, Stoke’s law, Terminal velocity, Bernoulli’s Principle (statement only) and its simple application.

MODULE - 3 :
Simple Harmonic Motion, Differential equation of S.H.M. & its solution, Energy in S.H.M.,Time period of simple pendulum, Superposition of two S.H.M.,’s (analytical treatment), Free, forced & damped vibrations (qualitative idea only), Resonance. Elastic waves - longitudinal and transverse waves, Progressive waves. Superposition of waves : beats ; stationary waves - vibration of strings & air columns.

Doppler effect in sound propagation (effect of medium excluded), Sound wave as longitudinal elastic wave, Velocity of sound wave, Newton’s formula and Laplace’s correction, Dependence of velocity of sound in a medium on temperature, pressure, density and humidity.

MODULE - 4 :
Thermal expansion of solids, Relation among coefficients of linear, superficial and cubical expansion of solids, Applications of expansion of solids, Thermal expansion of liquids, Relation between expansion coefficients.Colorimetry, Change of state, Latent heat.

Conduction, convection and radiation, Thermal conductivity, Thermometric conductivity, Black body radiation, Stefan’s law, Newton’s law of cooling (statement and qualitative explanation only.) Mean free path, Mean, rms speed and most probable speed, Pressure of an ideal gas ; Charle’s law, Boyle’s law, Avogadro’s law & pressure law from Kinetic theory of gases, Kinetic energy of molecules, Kinetic interpretation of temperature.

First law of Thermodynamics, Thermodynamic variables, Isothermal and Adiabatic expansions of gases, reversible and irreversible processes, Specific heats of gases at constant pressure and at constant volume and relation between them.

MODULE - 5 :
Reflection of light,Spherical mirrors, Mirror formula,linear magnification (formula). Refraction at plane surface, Total internal reflection,Critical angle, Relation between refractive index and critical angle, optical fibre, Total reflecting prism, Refraction and dispersion of light through prism.Thin lenses - concave and convex, lens formula, power of a lens, lens maker’s formula (deduction is not required), two thin lenses in contact.

Simple and compound microscope, Astronomical telescope (simple construction as a combination of coaxial lenses and ray diagram showing final image formation) Magnifying power. Human eye - defects of vision and corrections.

Wave front and Huygen’s principle, Reflection and Refraction of a plane wave front at a plane surface on the basis of Huygen’s Principle, Interference of light. Young’s double slit experiment and expression for fringe width, coherent sources