## JEST 2010 Sample Questions – Physics

The syllabus for JEST M.Sc level Physics paper is the standard M.Sc Physics syllabus.In particular, it presumes that the candidates have taken basic courses in Mathematical Physics, Classical Mechanics, Electromagnetic Theory, Quantum Mechanics, Statistical Mechanics and some special subjects such as Condensed Matter Physics, Electronics, Nuclear Physics etc.

The Physics question paper will be a multiple-choice question paper only. It will contain questions of two levels of difficulty. The first level will have 25 “easier” questions carrying 1 mark each. The second level will have 25 “difficult” questions carrying 3 marks each.Therefore, the test questions will have a total of 50 questions with 25 from each level, adding to a total maximum marks of 100. 40% questions will be from B. Sc. Level and 60% questions will be from M. Sc. Level.

1. Black-body radiation, at temperature Ti fills a volume V. The system expands adiabatically and reversibly to a volume 8V. The final temperature Tf = xTi, where the factor x is equal to
(a) 0.5 (b) 2.8 (c) 0.25 (d) 1

2. A particle of mass m, constrained to move along the x-axis. The potential energy is givenby, V(x)=a + bx +cx2, where a, b and c are positive constants. If the particle is disturbed
slightly from its equilibrium position, then it follows that

(a) it performs simple harmonic motion with period [2p(m/2c)]1/2
(b) it performs simple harmonic motion with period [2p(ma/2b2)]1/2
(c) it moves with constant velocity
(d) it moves with constant acceleration

3. Consider a square ABCD, of side a, with charges +q, -q, +q, -q placed at the vertices, A, B, C, D respectively in a clockwise manner. The electrostatic potential at some point located at distances r (where r >> a) is proportional to
(a) a constant (b) 1/r (c) 1/r2 (d) 1/r3

4. The general solution of dy/dx – y = 2ex is (C is an arbitrary constant)

(a) e2x+Cex
(b) 2xex+Cex
(c) 2xex+C
(d) ex2+C

5. An ideal gas of non-relativistic fermions in three dimensions is at a temperature of 0 K. When both the mass of the particles and the number density are doubled, the energy per particle is multiplied by a factor,
(a) 21/2 (b) 1 (c) 21/3 (d) 1/21/3

6. A particle of mass 1 gm starts from rest and moves under the action of a force of 30 Newtons defined in the rest frame. It will reach 99% the velocity of light in time

(a) 9.9 x 103 sec (b) 7 x 104 sec (c) 0.999 sec (d) 0.7 sec

7.The rotational part of the Hamiltonian of a diatomic molecule is (1/2 μ1)(Lx2+Ly 2)+ (1/2 μ2) Lz2 where μ1 and μ2 are moments of inertia. If μ1 = 2μ2, the three lowest energy levels (in units of h2/4 μ2) are given by

(a) 0, 2, 3 (b) 0, 1, 2 (c) 1, 2, 3 (d) 0, 2, 4

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sir,
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