BSc Physics SEM V 2016 17 2016-17 Physics III Automic & Molecular Physics Question Paper - Mumbai University | munotes

Questions asked in this paper

• (2) Figures to the right indicate full marks. A

1. Q1 (a) Attempt any one. \ 19 marks
   • (i) Write the Schrodinger equation for linear Reduce it to dimensioniess form. Soive it by operator metho4
   • (ii) Show that the operators L, and L? have the m, hand Attempt any one. 5
   • (i) What is zero point energy of linear harmonic oscillator? Explain it by Heisenberg Uncertainty principle
   • (ii) Draw the quantisation diagram for f electron. Calculate the the angle between L and z-axis
2. Q2 (a) Attempt any one. 10 marks
   • (i) Discuss Gerlach experiment, which demonstraies the existence of magnetic moment associated with electron spin quantum mechanically that, when electron undergoes a transition between two states having energies and Be its average position oscillates with frequency slestion rules for to 0.5 tesla of > charge of the mal levels in ory. Why are ved in case of le that can educed to an ane wavefunction for a linear harmonic oscillator for n = 2 is given by U,(y) = 2A,(2y? — ay Using the lowering operator find wavefunctions U, and U,
   • (b) Attempt any one. 4
   • (i) Define symmetric and antisymmetric wavefunctions. Which of these wavefunctions obeys Pauli’s exclusion principle? ” State selection rules for allowed transitions and find whether allowed or forbidden transition any one. SS 4
   • (i) An atom with spin zero, emits a spectral line of frequency when transition takes place from an 2 to I, level. Show the splitting of energy levels and of the spectral line in the

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