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Pune University - Sem - II : Statistical Mechanics in Physics, April 2010

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Total No. of Questions : 7] P886 [Total No. of Pages : 3 [3722]-203 M. Sc. PHYSICS PHY UTN - 603 : Statistical Mechanics in Physics (New Course) (2008 Pattern) (Sem. - II) Time : 3 Hours] [Max. Marks : 80 Instructions to the candidates : 1) Question No. 1 is compulsory. Attempt any four of the remaining questions. 2) Draw neat diagram wherever necessary. 3) Figures to the right indicate full marks. 4) Use of logarithmic tables and electronic pocket calculator is allowed. Constants : 1) Boltzmann constant kB = 1.38 10 23 J/K. 2) Planck s constant h = 6.623 10 34 Js. 3) Avogadro s number N = 6.023 1023 cgs units. 4) Mass of electron me = 9.1 10 31 kg. 5) Charge on electron e = 1.6 10 19 C 6) Velocity of light C = 3 108 m/s. Q1) Attempt any four of the following : a) Prove the following relation : [4] S = k pr ln pz r b) Show that mean square deviation for the number of particles distributed according to grand canonical distribution is given by ( N ) = KT 2 N [4] P.T.O.

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Additional Info : M.Sc. PHYSICS, PHY UTN - 603 : Statistical Mechanics in Physics (New Course) (2008 Pattern) (Semister - II), Pune University
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