17. Consider an elastic scattering of particles in /=1 states (pstates). If the corresponding phase
shift 6,=45°and magnitude of incident wave vector is equal to ಗಗ, then the total
scattering cross section in units of fm” is:

(A) 1 (B) 32
(0) (D) 0.5

bo

18. If A and B represents Hinstein’s coefficient for spontaneous emission and stimulated
emission respectively for a particular frequency f . R represents the ratio between A and B. If

frequency is doubled, what will be the new ratio?
(A) 2R (B) 88
(0) 48 0) 0.58

2
19. A one-dimensional simple harmonic oscillator with Hamiltonian Hy = = പ്പി is subjected
7 2

toa small perturbation, H'= ax+ fx* + 244 , The first order correction to ground state energy

is give by:
^ गक മ പ്‌
© ‏امہ‎ 0) 0

20. Which of the following statement is true about Klein-Gordan equation?
(^) The wave functions of the equations are not Lorentz invariant
(B) _ It has positive energy solutions only
(C) They are first order equations in time

(D) It can represent spin-0 particles like Pions

21. ಟೆ represents angular momentum operator and | j,m>represents simultaneous eigen states

of operators J® and J, What is the matrix representation of J? in | j,m>basis for j =2?

100 100
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