BSc Physics SEM V 2018 19 2018-19 Physics III Automic And Molecular Physics Question Paper - Mumbai University | munotes

Questions asked in this paper

• (2) Figures to the right indicate full marks

1. Q1 (a) Attempt any one:
   • (i) State Schrodinger equation for linear simple harmonic oscillator. Using 10 appropriate operator, solve it to obtain zero point energy
   • (ii) Using radial part of equation for hydrogen atom R(r), Show 10 that the angular momentum of electron is quantized
   • (b) Attempt any one:
   • (i) space quantization of orbital angular momentum electron. 5
   • (ii) By using azimuthal probability density , find the value of normalized 5
2. Q2 (a) Attempt any one:
   • (i) Goudsmith and Ulhenbeck hypothesis in case of spinning of 10 electron. Describe Stern-Gerlach experiment
   • (ii) Give a brief account of the vector atom model. 10
   • (b) Attempt any one:
   • (i) State and explain Pauli’s exclusion principle. 5
   • (ii) A beam of electrons enters a uniform magnetic field of induction 5 Find the energy difference between the states of the electrons whose spins are parallel to the field and those whose spins are antiparallel to the field
3. Q3 Attempt any one:
   • (i) What is Zeeman effect? Write the classical explanation of Normal Zeeman 10
   • (ii) Write a detailed note on Paschen back effect. What are the selection rules 10 for Paschen back effect?
   • (b) Attempt any one:
   • (i) Write anote on Anomalous Zeeman effect 5
   • (ii) Define and explain what is Lande g-factor. 5 Paper Subject Code: 24118 Physics: Paper III- Automic and Molecular Physics (R-2017)
4. Q4 (a) Attempt any one:
   • (i) Considering the diatomic molecule as a rigid rotator, derive the rotational 10 energy terms E; and show that the rotational energy levels are not
   • (i) What is Raman effect? What are Stoke’s & Antistoke’s lines? Give the 10 quantum theory of Raman effect
   • (b) Attempt any one:
   • (i) Write note on Frank Condon principle. 5
   • (ii) Explain the Raman activity of vibrations with the example of H2O molecule. 5
5. Q5 (a) Attempt any one:
   • (i) Calculate the zero point vibrational energy for NaCl molecule, if its 4 fundamental vibrational frequency is Hz. (h=
   • (b) Attempt any one:
   • (i) Calculate the values of and J for electron in one-electron atomic 4
   • (ii) Find the values of S, L and J that correspond to each of the following states: 4
   • (c) Attempt any one:
   • (i) of an element is placed in magnetic field of strength 0.3wb/m. 4 Find how far apart are the Normal Zeeman components of a spectral line of
   • (ii) For 3 state, Calculate the value of Lande’s g-factor. 4
   • (d) Attempt any one:
   • (i) Calculate the moment of inertia of CO molecule if the first absorption line 3 in CO rotational spectrum occurs at Hz
   • (ii) When radiation of was scattered by a medium, A stokes line of 3 was observed. Calculate the Raman shift Av

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