Nalanda Open University 2009 B.Sc Physics Bachelor of Science ( Hors), Part-III Term End , -VI - Question Paper
Bachelor of Science (Physics Honours), Part-III Term End Examination, 2009 Paper-VI (Physics)
Nalnmln Open University
Bachelor of Science (Physics Honours ), PartHI Te m End Exajiiinatio n, 2009 Paper-VI(Physics>
rime: 3.00 Hrs. FullMarks: 75
:Are we f-any Fiw Questions.
fh;- State and prove Ehrenfest's theorem.
3. State and explain postulates of quantum mechanic s.
A particle is co nfined to an infinitely deeppotentialwell. Derive an expressio n for the energy eigenstates of the particle. Sketch the eigenfunction for the lowest energy stateof the particle ::De scribe hydro gen at om-wit h a quant um mec hanical approac hr Compute [Sj;, S, [S, SJ and given.
M-l \ r.D-ii i t:i 6
Write down the Hamilto nan fo r two no n-interacting ident ical particles in t he infinite square well.Findthe ground st ate and rie xt twoescitedstates.
1. (a) Wliat is the difference between |Ji-space and T-space?
(b) Differentiate canonical e ns emb le , -lic.rtj canonic al ensemble and grand c anoriical e rise mb le
fitim'eaclL. iiifhef:;
Ap ply carno nical ensemb le t heor y tg :obt ain entropy and free ene rgy of -perfect monatomic
,:Es tab lis h t he Bos e-Eins tein dist rib ution formula and hence deduce Plane k's Law. ft)' Showthat the one-dimensional Is irig model does not e xplain the spontaneous magnetisation. Howdoes thesolutionofthe two- dime nsio nal Ising mo del ove icome this difficult y?
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