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Sourav Ghosh
Burdwan University (BU), Rajbati, Bardhaman
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fiziks Forum for CSIR-UGC JRF/NET, GATE, IIT-JAM, GRE in PHYSICAL SCIENCES JEST 2013 PPART A: THREE MARK QUESTIONS Q1. In an observer s rest frame, a particle is moving towards the observer with an energy E and momentum p. If c denotes the velocity of light in vacuum, the energy of the particle in another frame moving in the same direction as particle with a constant velocity v is (a) Q2. E vp 2 1 v / c (b) E vp 2 1 v / c (c) E vp 1 v / c 2 2 (d) E vp 1 v / c 2 2 Consider a system of two particles A and B. each particle can occupy one of three possible quantum states 1 , 2 and 3 . The ratio of the probability that the two particles are in the same state to the probability that the two particles are in different states is calculated for bosons and classical (Maxwell- Boltzman) particles. They are respectively (a) 1,0 Q3. (b) 1/2,1 (c) 1,1/2 (d) 0,1/2 At equilibrium there can not be any free charge inside a metal. However, if you forcibly put charge in the interior then it takes some finite time to disappear i.e. move to the surface. If the conductivity, , of a metal is 106 m 1 and the dielectric constant 0 8.85 10 12 Farad/m, this time will be approximately: (a) 10-5 sec Q4. (b) 10 -11 sec (c) 10-9 sec (d) 10 -17 sec The free fall time of a test mass on an object of mass M from a height 2R to R is (a) / 2 1 (c) / 2 R3 GM R3 GM (b) (d) R3 GM 2R 3 GM 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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