JEST MSc Physics Entrance Exam Question Paper

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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 given
by, 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 2 pÖ(m/2c)
(b) it performs simple harmonic motion with period 2 pÖ(ma/2b2)
(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

JEST MSc Physics Entrance Exam Paper