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IIT JAM 2008

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Brijmohan
Banaras Hindu University (BHU), Varanasi
PhD Condensed matter Physics

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fiziks Forum for CSIR-UGC JRF/NET, GATE, IIT-JAM, GRE in PHYSICAL SCIENCES IIT-JAM-2008(PHYSICS) IMPORTAN NOTE FOR CANDIDTES Attempt ALL 25 questions. Questions 1-15(objective questions) carry six marks each and questions 1625(subjective questions) carry twenty one marks each. Q.1 The product PQ of any two real, symmetric matrices P and Q is (a) symmetric for all P and Q (b) never symmetric (c) symmetric if PQ = QP (d) antisymmtric for all P and Q Q.2 The work done by a force in moving a particle of mass m from any point (x, y) to a neighboring point (x + dx, y + dy) is given by dW = 2xy dx + x2 dy. The work done for a complete cycle around a unit circle is (a) 0 (b) 1 (c) 3 (d) 2 Q.3 EFGH is a thin square plate of uniform density and y side 4a. Four point masses, each of mass m, are placed on the plate as shown in the figure. In the moment of intertia matrix I of the composite system, F m ( a, a,0) m (a, a,0) x (a) only Ixy is zero ( a, a,0) m ( a, a,0) m (b) only Ixz and Iyz are zero (c) all the product of intertia terms are zero G H (d) none of the product of intertia terms is zero Q.4 The chemical potential of an ideal Bose gas at any temperature is (a) necessarily negative (b) either zero or negative (c) neccessarily positive (d) either zero or positive Q.5 If the electrostatic potential at a point (x, y) is given by V = (2x + 4y) volts, the electrostatic energy density at that point (in J/m3) is (a) 5 0 (b) 10 0 (c) 20 0 (d) 1 0 2 x 4 y 2 2 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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