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Sourav Ghosh
Burdwan University (BU), Rajbati, Bardhaman
M.Tech Microwaves

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fiziks Forum for CSIR-UGC JRF/NET, GATE, IIT-JAM, GRE in PHYSICAL SCIENCES JEST 2012 PART A: THREE MARK QUESTIONS Q1. A monoatomic ideal gas at 170 oC is adiabatically compressed to 1/8 of its original volume. The temperature after compression is (a) 2.1 oC Q2. Q3. (b) 17oC (c) -200.5oC (d) 887 oC An observer in an inertial frame finds that at a point P the electric field vanishes but the magnetic field does not. This implies that in any other inertial frame the electric field E and the magnetic field B satisfy 2 2 (a) E B (b) E B 0 (c) E B 0 (d) E 0 Consider a system of particles in three dimension with momentum p and energy E c p , c being a constant. The system is maintained at inverse temperature , volume V and chemical potential . What is the grand partition function of the system? (c) exp e 6 V / ch 3 (b) e 6 V / ch 3 (d) e 8 V / ch (a) exp e 8 V / ch Q4. 2 2 The ground state (apart from normalization) of a particle of unit mass moving in a one- dimensional potential V x is exp x 2 / 2 cosh 2 x . The potential V x , in suitable units so that 1 , is (up to an additive constant.) 2 x coth 2 x (a) x 2 / 2 (b) x 2 / 2 2 x tanh 2 x Q5. (c) x 2 / 2 2 x tan 2 x (d) x 2 / 2 A magnetic field B B0 i 2 j 4k exists at point. If a test charge moving with a velocity, v v0 3i j 2 k experiences no force at a certain point, the electric field at that point in SI units is (a) E v0 B0 3i 2 j 4k (c) E v B 14 j 7k 0 0 (b) E v0 B0 i j 7k (d) E v0 B0 14 j 7k fiziks c/o Anand Institute of mathematics, 28-B/6 Jia Sarai Near IIT, Hauz Khas, New Delhi, PIN- 110016 (INDIA) Phone: 011-32718565, +91-9871145498 Website: http://www.physicsbyfiziks.com Email: fiziks.physics@gmail.com 1

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