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Note:
i. The Question Paper which will have 75 questions.
ii. All questions will be based on Subject-Specific Knowledge.
iii. All questions are compulsory.
iv. The Questions will be Bilingual (English/Hindi).
PHYSICS:
• Mechanics and wave Motion: -
Gallilean invariance, Inertial, noninertial and accelerated frame. Principle ofequivalence,
Various forces and energy considerations in motions of plants and satellites, conservation of
linear momentum, variable mass, Moment of Inertia, Kineticenergy, Radius of gyration,
Conservation of Angular momentum, Beats, Lissajous figures LCR circuits, Resonance,
Fourier series.
• Electromagnetic Theory and Electronics: -
Maxwell’s equations, Displacement current, travelling waves, E M Fields in coaxial cable,
Poynting vector, Progagation of e.m. waves. Semiconductors, P-n junction, transistor, Rectifiers,
Filters, Common Emitter voltage amplifier.
• Optics: -
Newton’s rings, Michelson’s interfer ammeter, coherence, Lasser, Fresnel and Franhoffer
diffraction, and diffraction patterns, Polarisation, Brewster’s Law, Optic axis, Nicol Prism,
Huygen’s theory of double diffraction.
• Thermodynamics and statistical Mechanics: -
Entropy, Reversible and irreversible process, S.T. diagram, Enthalphy, Helmholtz andGibb’s
functions, Maxwell’s and T-ds equations, Energy and Heat capacity equations,
Clausiusclapeyron equations, specific heat, Thermodynamics,
Black body radiations, Laws of radiation, Temperature of the Sun, Planek’s radiation formula, Photo-
electric effect, Crompton effect, Raman Effect, Duality, Michelson- Morley experiment.
MATHEMATICS:
Algebra:
• Partial fractions, inequalities, Theory of equations, algebra of matrices, properties of determinatesand
its application to solve linear simultaneous equations,
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Trigonometry:
• De Moivre’s theorem, logarithms of complex quantics and expansion of functions.
Calculus:
• Successive differentiation, asymptotes, curve tracing, curvature, maxima and minima, partial
differentiations in determinate forms, mean value theorems, integration and reduction formulae and
evaluation of area. Volume, surface and lengths.
Geometry:
• Hyperbola in rectangular coordinates, polar equation of a conic, general equation of second degree,
confocal and system of conics, straight lines, plane, sphere, cone , cylinder and central conecoidsin
three dimensions.
Vectors:
• Divergence, grade and curl of vectors, Gauss, Stokes and Green’s theorems with their applications,
Differential equations:
• Linear differential equations with constant coefficients, orthogonal trajectory, simple non linear
differential equations, Integral equations and solution of linear differential equations using Laplace
transform.
Mechanics:
• Forces in two dimensions, Virtual work, catenary, Center of gravity, friction, S H M, Projectiles,
constrained motion, moments and product of inertia, equation of motion of a rigid body, D Alembert’s
principle, compound pendulum, conservation of energy and momentum, centre of pressure and laws of
floatation.
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