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University : Mohan Lal Sukhadia University
Degree : B.Sc
Subject : Mechanics & Properties of Matters
Year : I
Document Type : Question Paper
Website : mlsu.ac.in

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MLSU Properties of Matters Question Paper

First Year Examination of the Three Year
Degree Course, 2001(Faculty of Science)
PHYSICS Paper I

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(Mechanics & Properties of Matters)
Time – Three Hours
Maximum Marks – 50
Attempt Five question in all,
selecting ONE question from each unit.
All questions carry equal marks.
UNIT I
1. (a) What do you understand by the motion of a system of variable mass- Explain it with suitable example. 3+3
(b) Locate the centre of mass of three particles of 2 kg. 3 kg and 4 kg placed at the three corners of an equilateral triangle of one meter side. 4
OR
2. Define moment of inertia and derive its unit and dimension. Calculate the moment of ineritia of a diatomic molecule. 2+2+6

UNIT II
3. What do you understand by a damped harmonic oscillator- 2+4+4
OR
4. State and explain Fourier’s theorem. Apply this theorem to analyse the output wave of a half wave rectifier when the input wave is of the form E=E0 sin wt. 2+4+4

UNIT III
5. (a) State and prove Gauss’s divergence theorem. 5
(b) For the position vector r = ix + jy + kz prove that : 2.5+2.5
(i) div R = 3 and (ii) div (r/r3) = 0.
OR
6. Explain inertial and non-inertial frames of references. Show that a frame of reference having uniform translatory motion relative to an inertial frame is also inertial. 4+6

UNIT IV
7. Write short notew on the following :- 5+5
(a) Michelson-Morley experiment.
(b) Group and phase velocity.
OR
8. Derive differential equation of a wave motion. 4+6 Prove that : V = ÖY/p Where the symbols have their usual meaning.

UNIT-V
9. (a) Define bending moment and derive its expression. 2+3
(b) What is Cantilever- Determine Young’s modulus (Y) for the material of a Cantilever. 2+3
OR
10. (a) Define viscosity and write down its unit and dimension. 2+1
(a) Derive an expression for the liquid flow through a narrow capillary tube and discuss the limitations and corrections for the derived formula. 5+1+1

Paper-I : 1161 Mechanics of Particles, Rigid Bodies and Continuous media

UNIT – I

Laws of motion, conservation of energy and momentum, transformation equations for rotating frame, centripetal and Coriolis accelerations, Coriolis force, Coriolis force due to earth‟s rotation – experimental demonstration by Focualt pendulum. Motion under a central force, conservation of angular momentum, Kepler‟s laws.

UNIT – II

Fields and potential, gravitational field and potential due to spherical bodies, Gauss‟s and Poisson‟s equations, gravitational self energy.

Two body problem, reduced mass, scattering and scattering cross sections, illustrations, Rutherford scattering by hard spheres, centre of mass and laboratory reference frames, binary stars.

UNIT – III

System of particles, centre of mass, calculation of centre of mass of regular bodies, angular momentum, equations of motion, conservation theorems for energy, momentum and angular momentum,system of variable mass, elastic and inelastic collisions, rigid body, degrees of freedom, Euler‟s theorem.

UNIT – IV

Molecular rotations (as rigid bodies), moment of inertia, di and tri atomic molecules, intrinsic spin, precessional motion, motion of top, gyroscope. Elastic constants for an isotropic solid, their inter relation, torsion of a cylinder, bending of beam, applications to cantilever.

UNIT – V

Kinematics of moving fluid, equation of continuity, Euler‟s law for fluidity. Viscous fluids, streamline and turbulent flow, flow through a capillary tube, Poisvilles law, Reynold‟s number, Stoke‟s law, theory of rotation viscometer, effect of temperature and pressure on the viscosity of liquids.

Recent developments in Physics including discussion of Nobel prizes in Physics (no questions to be set in the theory examination).

Text :
1. Mechanics- J.C.Upadhyaya, Ram Prasad & Sons
2. Mechanics- D.C.Mathur S.Chand & Co.
3. Mechanics of Particles, Rigid Bodies and Continous Media (In Hindi) by Kalra, Bhandari and Kakani