Full marks : 100
Pass marks : 45 PAPER – 5
Answer any five questions,
selecting two from each group, in which Q.no. 1
is compulsory.
1. Answer any four questions of the
following :
a) (a) Discuss the Generalised co-ordinates.
b) (b) What is
Hamiltonian ? Give its physical significance. (Repeated 2017 )
c) (c) Mention the
physical significance of the wave function.
d) (d) What are
the fundamental postulates of statistical mechanics ?
e) (e) On the
basis of uncertainty principle. Show that electrons can not exist inside the nucleus.
f) (f) Distinguish
between BE, FD and classical statistics.
GROUP
– A
2. What do you
understand by wave-particle duality ? Derive the de-Broglie relation and give
its experimental verification.
3. Derive
Lagrange’s equation of motion for the particle under the action of conservative
forces.
4. Deduce
Mosley’s law and show how it has been utilized in removing some of the defects
of periodic table.
5. Write
short notes on any of the following :
a) (a) Spin Orbit
interaction
b) (b) Characteristics
X-ray spectra
c) (c) Zeeman
effect
d) (d) Lande’s
g-factor
GROUP – B
6. Define micro-canonical
ensemble. Use it to obtain the entropy and internal energy of a perfect gas.
7. Discuss
with suitable diagrams, the construction and the working of Ruby Laser.
8. What is
black body radiation ? Obtain Planck’s radiation formula for black body
radiation.
9. Write notes on any of the following :
a) (a) Application
of Raman Effect
b) (b) Entropy and
probability
c) (c) Stefan’s
Boltzmann law
d) (d) Gibb’s paradox
BEST OF LUCK
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