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Pune University - Sem - II : Statistical Mechanics in Phy, April 2010 (Old Course)

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Total No. of Questions : 7] P876 [Total No. of Pages : 3 [3722]-23 M. Sc. PHYSICS PHY UT - 603 : Statistical Mechanics in Physics (Old Course) (2005 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 diagrams wherever necessary. 3) Figures to the right indicate full marks. 4) Use of logarithmic tables and electronic pocket calculator is allowed. Constants : 1) Boltzman 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 ms = 9.1 10 31 kg. 5) Velocity of light C = 3 108 m/s. 6) Gas constant R = 8.314 J/mole/ K. Q1) Attempt any four of the following : a) 1 The energy levels of harmonic oscillator are given by En = n + ! . 2 Find the ratio of probability of the harmonic oscillator being in the first excited state to the probability of it being in the ground state. [4] b) For Helium gas at room temperature (300 K) and atmospheric pressure; calculate N/V. [4] c) Energy states of a particle moving in a rigid cubical box is given by 2 nx + 2 ny + 2 nz 2 ml 2 E = = 14 . 2! 2 Determine the number of microstates accessible to the particle. [4] P.T.O.

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Additional Info : M. Sc. PHYSICS, PHY UT - 603 : Statistical Mechanics in Physics (Old Course) (2005 Pattern) (Semister - II)
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