Bharathiar University 2002 M.Sc Physics Classical Mechanics,Statistical Mechanics and reality - Question Paper
Degree
24 (a) Establish Plancks law of radiation from Bosft-Eiastem distribution law.
Or
(b) Compare MaxweU-Boltzmann, - Bose-Einsfcein and Ferm-Dirac statistics.
25, (a) Explain Kelativistic Dopplers effect,
Or
(b) Write a note on Minbr.Vald fcrcz.
SECTION C (5 x 10 = 50 marks)
Answer ALL questions, choosing either (a) or (b).
28, (a) What are Poisson brackets? Derive the equations of motion in Poisson bracket form.
Or
lb) What are actioc-an- angle variables? Discuss the Kepler problem in action angle variables.'
27. (a) Discuss the motion of a symmetric top under the action of gravity.
Or
Cb) xplain the free vib-atiors of a linear triatoxmc molecule and obtain expressions for its normal modes and normal frequencies of vibration.
28 (a) Using Maxwells law of distributio
velocities, obtain expressions for (i) most probable s (ii) mean speed (iii) mean square speed and (y) mean square spe*d.
i
Or
(b) Explain partition function. Discuss its correlation with tbemodyaamie quantities,
29. (a) - Explain fully the phenomenon of Bose-Einstein condensation.
Or
(b) Deduce Eicharclson-Dughman equation of
thermionic emission.
30. (a) Discuss Lorentz transformations of electric and magnetic fie?# components.
Or
(b) Give an - account of the Lagrangian, formulation of the relativist! mechanics.
7 3283
Match the following:
u -j* >0 , E =Efo . I >Sr<-'4 .
v&xm*>\*JL & S/* mat
SECTION B ~ (5 x 8 30 marks)
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11, Hamiltoc.% principal fu <vlon (a) K . 12, Moment of inertia tensor (b) # ' V 18 Boltzmann Bstant (c) I l2> sin p 14, Work fenetiottef the metal \<Xd)T*\ 15, Eeiatmstie energy (s) S, ft Answer in 1 or 2 sentences; 16, Write down HamiltonJacoM equation for Hamiltons principal function. f1 \ :% mas** 17. Define Eulers angles ' 'P-tio <%)> *? |
Answer ALL questions, choosing either (a) or (b), 21, (a) Show that the transformation P = qmip Q~hg \ <1 J is canonical. Or (b) Write a note on Hamilton's principal function. 22. (a) Deduce Euler's equations of motion of a rigid body, ' Or (b) Explain the terms normal co-ordinates and tWU. normal modes of vibration. |
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|lm 20. Write down the reiatmstie relation for the wlr *J s,f variation of mas with velocity. yyi U ,m vvt- AP 4 & / e aw*lTi sfcte . * fxX itePl "3 l * TWZ* k%* . |
Or Co) Establish Maxwell's law of distribution of velocities, -5 " - ' mm |
