64 m kj izns'k jktf"kZ V.Mu eqDr fo'ofo|ky;] bykgkckn

7
524
m kj izns’k jktf"kZ V.Mu eqDr fo’ofo|ky;] bykgkckn
vf/kU;kl (Assignment) 2012-2013
Lukrd foKku dk;Z e …ch-,l-lh-‰
Bachelor of Science Programme (B.Sc.)
fo"k; % HkkSfrd foKku fo"k; dksM % ;w-th-ih-,p-,l-
Subject : Physics Subject Code : UGPHS
dkslZ ’kh"kZd % dkslZ dksM % ;w-th-ih-,p-,l--06
Subject Title : Thermodynamics & Course Code : UGPHS-06
Statistical Mechanics
Section - A
[k.M - v
vf/kdre vad % 30
Maximum Marks : 30
vf/kdre vad % 18
Maximum Marks : 18
uksV % nhkZ m kjh; iz’uA vius iz’uksa ds m kj 800 ls 1000 ’kCnksa esa fy[ksaA lHkh iz’u vfuok;Z gSaA
Note : Long Answer Question. Answer should be given in 800 to 1000 words. Answer
all questions. All questions are compulsory.
1. (a) State Zeroth Law of thermodynamics & use it to establish emperical
temperature. 6
(b) Establish equivalence between Kelvin & Clausius statement of second law of
thermodynamics.
(a) ¯"ekxfrdh dk ’kwU;okWa fu;e fyf[k;s rFkk bldh lgk;rk ls vkuqHkkfod rki LFkkfir dhft,A
(b) ¯"ekxfrdh ds f}rh; fu;e ds fy, dsfYou rFkk DykfHkiju ds dFkuksa esa lerqY;rk LFkkfir
dhft,A
2. (a) What do you mean by the internal energy of a system State first lawof
thermodynamies. 6
(b) If 10 gm of air be heated from 10 0 C to 25 0 C in a closed vessel calculate the
change in the internal energy
2. (a) fdlh fudk; dh vkUrfjd ¯tkZ ls vki D;k le>rs gSa\ ¯"ekxfrdh dk izFke fu;e fyf[k;s rFkk
bldh lgk;rk ls vk;ru (dv) rFjkk (dt) rki vkSj ¯"ek (dQ).
(b) 10 xzke ok;q dks 10 0 C ls 25 0 C rd ,d cUn crZu esa xje fe;k tkrk gSA ok;q dh vkUrfjd
¯tkZ esa ifjorZu dh x.kuk dhft,A ok;q ds fy, C = 0.172 dSyksj /xzk/ 0 C)
3. Prove that (fl) dhft, fd) : 6
Joule ¾ Thonson coefficient m is given by
twy¾djeky xq.kkad] m)
m = -1
rm
c [( p rq
)
t
+( d( PV )
p
where m is the internal energy
) ]
t
}kjk fn;k tkrk gS tgka m vkUrfjd ¯tkZ
(b) T.ds = Cvdt + T ( p
T ) dv
t
Section - B
[k.M c vf/kdre vad % 12
Maximum Marks : 12
4. Define different thermodynamical potentials & use them to obtain maxwell's
thermodynamies relatiosns. 2
fofHkUu ¯"ekxfrdh foHkoksa dh ifjHkk"kk nhft, rFkk mudh lgk;rk ls esDlosy ds ¯"ekkxfrdh
lEcU/kksa dks izkIr dhft,A
5. Explain the advantages of choosing the phase-space. 2
dyk vkdk’k dks O;Dr djus ds ykHk Li"V dhft,]
6. State & prove the Liouville's theorem. 2
(a) Y;wosy izes; dk dFku dhft, ,zo bls fl) dhft,A
7. Discuss the Sackur-Telrode equation for entropy of a perfect gas. 2
vkn’kZ xSl dh ,UVkWih ds fy, lkdwj VsV“ksV lehdj.k dh foospuk dhft,A
8. (i) Planck's formula (Iyk¡d dk lw=k) 2
(ii) Microcanonical Ensemble (ekb ksdukfudy ,ulsEcy)
9. (i) Absolute temperature scale (ije rki iSekuk) 2
(ii) The Principle of equipation of energy (¯tkZ ds lekfoKkiu dk fu;e)
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