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IIT JAM 2007

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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-2007(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 Fermi energy of a certain metal M1 is 5 eV. A second metal M2 has an electron which is 6% higher than that of M1. Assuming that the free electron theory is valid for both the metals, the Fermi energy of M2 is closet to (a) 5.6 eV (b) 5.2 eV (c) 4.8 eV (d) 4.4 eV Q.2 The following histogram represents the binding energy per particle (B.E./A) in MeV as a function of the mass number A of a nucleus 8 6 B.E. A 4 2 40 80 120 160 200 A A nucleus with mass number A = 180 fissions into two nuclei of equal masses. In the process (a) 180 MeV of energy is released (b) 180 MeV of energy is absorbed (c) 360 MeV of energy is released (d) 360 MeV of energy is absorbed Q.3 A particle is confined in a one dimensional box with impenetrable walls at x = a. Its energy eigenvalue is 2 eV and the corresponding eigenfunction is as shown below. a 0 The lowest possible energy of the particle is (a) 4 eV (b) 2 eV a (c) 1 eV (d) 0.5 eV 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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