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2<br />
odd or even integer.<br />
M.Sc (Physics) Part-I<br />
Paper-I<br />
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)<br />
1. Solve the differential equation :- x( 1 – 2x)<br />
y"<br />
– (6x<br />
+ 1) y'<br />
– 2 y = 0<br />
2. Find values of and . Find also the integral representation of for n being<br />
J ±<br />
1 ( x)<br />
J ±<br />
3 ( x)<br />
J n<br />
(x)<br />
2<br />
ij<br />
mn<br />
3. (a) Write the law of transformation for the tensors :- Ak<br />
and Bijk<br />
.<br />
b<br />
(b) Prove that δ q<br />
is a mixed tensor of second rank.<br />
Paper-II<br />
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)<br />
1. Set up one dimensional harmonic oscillator Schrödinger's equation and solve it to find energy<br />
eigenvalues and eigenfunctions.<br />
2. Apply time-independent perturbation theory to find Stark effect in atoms.<br />
3. Discuss the scattering of particles by a spherically symmetric potential. What do you mean by<br />
'partial waves' and 'phase shift'?<br />
Paper-III<br />
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)<br />
1. (a) What is Bremsstrahlung ? (b) Explain Cerenkov radiation.<br />
2. What is adiabatic invariant ? Discuss the first adiabatic invariant.<br />
3. Derive Boltzmann's equation. What is Boltzmann vlasov equation?<br />
Paper-IV<br />
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)<br />
1. Derive the Bose-Einstein distribution function. What is Bose-Einstein condensation?<br />
2. Write the M - B, B - E and F - D distribution laws and make a comparison of the three laws.<br />
3. What do you mean by cluster expansion ? Discuss the classical theory of cluster expansion.<br />
Paper-V<br />
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)<br />
1. Give an account of Fermi's theory of -decay. Explain clearly the significance of Kurie Plot.<br />
2. Write a detailed note on the classification of elementary particles.<br />
3. Discuss the quark model in detail. How does this model explain the Baryons and Mesons?<br />
Paper VI to VIII – Practical Work<br />
M.Sc (Chemistry) Part-I<br />
Paper I to III – Parctical Work<br />
Paper-IV<br />
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)<br />
1. What are postulates of Quantum Mechanics ? Describe in brief.<br />
2. Write the Hamiltonian for Li-atom. Ignoring inter electronic repulsion, give the function.<br />
3. Write short notes on :- (a) Hysteresis. (b) Stoichimetric line defect.<br />
Paper-VI<br />
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)<br />
1. What are postulates of Quantum Mechanics ? Describe in brief.<br />
2. What is maltose ? Establish the structure of maltose.<br />
3. Elucidate the structure of Citral and discuss its cis and trans isomerism.<br />
Paper-VII<br />
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)<br />
1. What is supramolecular chemistry ? Write the applications of supramolecular<br />
chemistry with suitable examples.<br />
2. Write short notes of the following :-<br />
(a) Excited electron transfer. (b) Reaction of bipyridines.<br />
3. Discuss the electron transfer reaction by inner and outer sphere mechanism. Give suitable<br />
examples.
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