Gauhati University Question Papers for Physics 1st Semester
Gauhati University Question Papers for Physics 1st Semester
Question Paper from 2010 available
More than 50 question papers every semester
Please check your syllabus before downloading the question paper.
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Paper 101
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Paper 102
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2010
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2011
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2012
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2013
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2017
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More than 50 question papers every semester
Syllabus down here
FIRST SEMESTER
PAPER: 101 (THEORY)
(a) MATHEMATICAL METHODS-I:
(a) MATHEMATICAL METHODS-I:
1. Vector analysis: Vectors,
Scalars, Vector algebra, Product rules,
Vector fields, scalar fields.
2. Vector differentiation: Ordinary derivatives of vectors,
space curves, Partial derivatives of vectors, Differentials of vectors, Concept
of gradient, divergence and curl. Application of
above concept to simple physical phenomena.
(b) MECHANICS:
1. Non-inertial systems and fictitious forces,
rotating frame of reference, fictitious/apparent force in a
rotating co-ordinate system, Coriolis force,
Coriolis and centrifugal forces
produced as a result of earth's
rotation. Deflection of a freely falling body,
effect of
Coriolis force on the horizontal straight line motion of a
body on the surface of the earth.
2. Work-energy theorem, integral of the equation
of motion, conservative forces, potential energy, conservative
force as the negative gradient of
potential energy, curl of a
conservative force, non-conservative
forces, general law of conservation of
energy.
3. Mechanics of a system of
particles, centre of mass, motion of
the centre of mass, conservation of
momentum, calculation of centre of mass of (i)
non-uniform rod, (ii) semicircular arc (iii)
semi-circular disk and (iv) solid hemisphere. Laboratory
frame of
reference and centre of mass
frame of reference, two dimensional elastic
collision in laboratory frame of reference and centre of mass
frame.
4. Angular momentum, angular momentum of a system of
particles in terms of the centre of mass co-ordinate, conservation law of
angular momentum, angular momentum and fixed
axis rotation of a rigid body,
moment of inertia, calculation of moment of
inertia for spherical bodies (shell, hollow and solid). The compound
pendulum, determination of g by
Kater's pendulum.
5. Gravitation, gravitational field and potential due to
spherical shell and solid sphere.
PAPER: 102 (THEORY)
(a) WAVES AND OSCILLATIONS:
1. Harmonic Motion: Simple Harmonic motion,
Composition of two simple harmonic oscillations at right angles, Lissajous
figures. Free, damped and forced oscillations, resonance, and sharpness of
resonance.
2. Wave Motion: Wave motion in an elastic
medium, characteristic of progressive waves, mathematical representation of a
progressive wave. Differential wave equation in one
dimension, solution of wave
equation (method of separation of
variables). Energy density of plane progressive
waves, Superposition of waves. Stationary
waves,
characteristics of stationary waves.
3. Sound Waves: Velocity of longitudinal waves
in a solid bar. Intensity of sound wave.
Units of intensity. Acoustics of auditorium, reverberation,
Sabine's law.
4. Fourier analysis: Fourier analysis and
evaluation of Fourier coefficients. Application of Fourier analysis to square
and saw tooth waves. Equation of transverse vibration of a stretched string,
energy of vibrating string, plucked string and struck string.
(b) RAY OPTICS:
1.
Fermat’s principle: Fermat’s principle and its
application in establishing laws of reflection and refraction at
spherical and plane boundaries.
2. Matrix method: Translation matrix and
Refraction Matrix, use of matrix method in
refraction at a spherical surface and refraction through
thin lens.
3. Lens system:
Sign convention, conjugate foci, relation for refraction of paraxial rays
at single spherical surface, interrelation
among lateral, longitudinal and angular
magnification, Lagrange’s law and
Helmholtz equation and its modification for
telescopic system.
4. Defects of
image: Spherical aberration and its magnitude for thin lens for object at
finite distance and condition for minimum
aberration when object is at infinity,
Minimization of spherical aberration
by using suitable lens of different
radii of curvature and by aplanatic surface, Qualitative idea about coma,
astigmatism and distortion, Chromatic aberration, circle of least confusion,
achromatism of two thin
lenses separated by a distance.
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