BSc Physics SEM V 2018 19 2018-19 Physics Atomic & Molecular Physics Question Paper - Mumbai University | munotes

Questions asked in this paper

• (2) Figures to the right indicate full marks

1. Q1 Attempt any two:
   • (a) Set up steady state Schrodinger’s equation for H-atom in spherical polar ordinates. Solve it by the method of separation of variables. Explain how magnetic quantum numbers myarises in solving equation
   • (b) State Pauli’s exclusion principle. Show that particles obeying Pauli’s 10 exclusion principle are described by antisymmetric wave functions
   • (c) Explain with neat diagrams, Stern-Gerlach experiment to demonstrate space 10 quantization of electron spin 2 Attempt any two:
   • (a) If an electron undergoes a transition from a higher energy level Em to a 10 lower energy level En , prove quantum mechanically that it emits a radiation of frequency,
   • (b) Derive an expression for Lande’s ‘g’ factor and obtain its value for 5D 10
   • (c) Explain with neat diagrams, L-S and J-J coupling schemes for two 10
2. Q3 Attempt any two:
   • (a) Derive an expression for the vibrational frequency of a diatomic molecule 10 in terms of its reduced mass and force constant. Show that the vibrational energy levels are equally spaced assuming that the molecule performs a expression for rotational energy of a rigid diatomic molecule. 10 Explain in detail, how energy levels get modified if effect of bond elongation is taken into consideration. Draw appropriate energy level
   • (c) Draw the block diagram of a double beam infrared spectrophotometer and 10 explain each block in detail
3. Q4 Attempt any two:
   • (a) Discuss quantum theory of Raman effect in detail. 10
   • (b) Explain pure rotational Raman spectra of a linear diatomic molecule. 10 Show graphical representation of energy levels and spectral lines
   • (c) What is the basic principle of Nuclear Magnetic Resonance (NMR)? 10 Explain NMR spectrometer with a neat diagram
4. Q5 Attempt any four:
   • (i) Write note on radial probability density of electron in H-atom. 05 = — 1] is a solution of equation: (ili) Calculate the angle between } and L in 05
   • (iv) of certain element is placed in a magnetic field of intensity 0.3 05
   • T. How far apart Zeeman components of wavelength 4500 A will be?
   • (v) The lowest rotational energy of CO molecule is 4.76 x 05 corresponding to a transition from J = 0 to J= the bondlength of CO molecule whose reduced mass is 1.138 x
   • (vi) Determine the force constant of molecule if its vibrational frequency 05 is 9x Given M(H) = 1.67 , M(Cl) =5.81 x
   • (vii) If bondlength of H2 is 0.07417nm, what would be the position of the first 05 rotational Raman line in the spectrum?
   • (viii) Calculate the magnetic field strength required to get a transition frequency 05 of 60 MHz for fluorine

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