
	Trending ▼ ICSE CBSE 10th ISC CBSE 12th CTET GATE UGC NET Vestibulares ResFinder

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

3 pages, 18 questions, 0 questions with responses, 0 total responses,

	pune_sci	+Fave Message
	Profile Timeline Uploads Q & A

Home > pune_sci >

Instantly get Model Answers to questions on this ResPaper. Try now!
NEW ResPaper Exclusive!

Formatting page ...

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. c) A simple harmonic one dimensional oscillator has energy level given by 1 E n = n + ! where is the characteristic angular frequency of 2 the oscillator and n is the quantum number, assures the possible integral values n = 0, 1, 2 ....... . Suppose that such an oscillator is in thermal contact with a heat reservoir then find the ratio of the probability of the oscillator being in the first excited state to the probability of its being in the ground state. [4] d) The molar mass of Lithium is 0.00694 and its density is 0.53 106 kg/m3. Calculate the Fermi energy of electron. [4] e) Prove the following relation : P = KT f) Q2) a) ln Z V Prove the following relation : ( E) (E ) 2 [4] 2 1 2 2 = 3N 1 [4] 2 For canonical ensemble, show that probability of finding the system in a particular microstate r having energy Er is given by e Er Pr = e Er [8] r b) Q3) a) Explain, what do you mean by Bose-Einstein condensation. [8] Show that, when T < < r (C )rot 2 2 = 12 NK r e r T T where r = The rotational characteristic temperature in the lowest approximation. [8] [3722]-203 -2- b) State the partition function for M. B. Statistics and show that the quantum distribution function for M. B. Statistics Ne s ns = e s [8] s Q4) a) Show that for photon gas, the mean pressure is related to its mean energy by the relation P = b) 1E . 3V [8] Show that specific heat of strongly degenerate Fermi gas is given by CV = 2 2 R T. TF [8] Q5) a) Compare the basic postulates of M. B., B. E. and F. D. Statistics. Hence, comment about the probabilities of particles coming together according to B. E. and F. D. Statistics. [8] b) Discuss the phenomenon of sharpness of probability distribution in statistical thermodynamics. [8] Q6) a) b) Q7) a) Using Canonical distribution, obtain the law of atmosphere. [8] State and prove Liouville s theorem. [8] Show that for classical monoatomic ideal gas having particles contained in volume V. The number of states (E) for the system in the energy range E & E + E is given by N 3N/2 (E) = BV E b) [8] What is Gibb s paradox? How it is resolved? [8] rrrr [3722]-203 -3-

Formatting page ...

Additional Info : M.Sc. PHYSICS, PHY UTN - 603 : Statistical Mechanics in Physics (New Course) (2008 Pattern) (Semister - II), Pune University
Tags : msc physics pune university papers, msc physics solved question papers, Statistical Mechanics in Physics, pune university exam papers, university of pune question papers, pune university science, pune university courses, bsc pune university, msc pune university, pune university solved question papers, pune university model question paper, pune university paper pattern, pune university syllabus, old question papers pune university

pune_sci chat

Horizontal lines at:
Guest Horizontal lines at:
AutoRM Data:
Box geometries: