BSc Physics SEM V ATKT May 2017 ATKT PHYSICS PAPER 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) Set up steady state Schrodinger equation for one dimensional harmonic 10 oscillator. Solve it by raising and lowering operator
   • (ii) Set up the Schrodinger equation in spherical polar coordinates, for the 10 electron in hydrogen atom. Show that how magnetic quantum number
   • (b) Attempt any one: radial probability density of electron in hydrogen atom. 5
   • (ii) Applying the operator to the hydrogen atom wave function, show that 5
2. Q2 (a) Attempt any one:
   • (i) Describe symmetric and antisymmetric wave functions with suitable 10
   • (ii) Explain LS coupling and jj coupling. 10
   • (b) Attempt any one:
   • (i) and explain Pauli’s exclusion principle. 5 The term symbol of the ground state of sodium is 37S and that of its first 5 excited state is . List the possible quantum numbers n, |, j and m; of the outer electron in each case
   • (a) Attempt any one: State the Normal Zeeman effect & give the quantum mechanical 10 explanation of the same
   • (i) is Paschen-back effect? Explain it in the principal series doublet. 10
   • (b) . Attempt any one:
   • (i) Using the effective magnetic moment 1, ,derive the Lande-g-Factor. 5
   • (ii) What is Anomalous Zeeman effect? 5 Paper Subject Code: 24118 Physics: Paper III- Automic and Molecular Physics (R-2017)
3. Q4 (a) Attempt any one:
   • (i) For diatomic molecule as a simple harmonic oscillator, derive the 10 frequency Vp and the energy Using the energy level diagram, show the vibrational energy levels & allowed transitions for absorption spectrum
   • (ii) Explain in detail, the classical theory of Raman effect. 10
   • (b) Attempt any one:
   • (i) a short note on Electronic spectra of diatomic molecules. 5
   • (ii) What are Stoke’s lines &Antistoke’s lines? Explain why the intensity of 5 Stoke’s lines is greater than intensity of Antistoke’s lines
4. Q5 (a) Attempt any one:
   • (i) Find zero point energy of harmonic oscillator whose period is 4
   • (ii) If Uo(y) be the lowest possible eigen function, then by using lowering 4
   • (b) Attempt any one:
   • (i) one of the states of the configuration what are the other possible 4
   • (ii) A beam of electrons enters a uniform magnetic field of flux density 1.2 4 Tesla. Find the energy difference between the electrons whose spins are parallel and antiparallel to the field
   • (c) Attempt any one:
   • (i) |The Normal Zeeman shift is 0.03735 when a spectral line of 4000 is 4 subject to the magnetic field of 0.5 Tesla. Determine the specific charge (e/m) of the electron
   • (ii) Calculate the value of Lande’s g —factor for 3 state. 4
   • (d) Attempt any one:
   • (i) In CO molecule, the frequency of oscillations of atoms is Hz. 3 Calculate the force constant K if reduced mass = 1.138 x
   • (ii) Calculate the bond length of CO molecule if the reduced mass is 3 1.14 x & moment of Inertia is 1.44 x k.g

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