BSc Sem V 2015 2016 2016 Physics 3 Question Paper - Mumbai University | munotes

Questions asked in this paper

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

1. Q1 (a) Attempt any one : 10 marks
   • (i) Set up steady state Schrodinger’s equation for H-atom in spherical co-ordinates. Solve it by the method of separation of variables how magnetic quantum number m, arises in solving
   • (ii) Prove that the operators L, and L? have the and l +1) respectively when operated on atom wave
   • (b) Attempt any one : 5
   • (i) steady state s equation for one dimensional harmonic oscillator. dimensionless form by suitable change of variables
   • (ii) | What are d lowering operators? The eigenfunction of a one linear harmonic oscillator is given by lowering operator, determine the value and its energy & Show that when the electron jumps from higher energy level E , t0 a lower energy level the frequency of photon emitted is
   • Q.P. Code : 12826
   • (i) Explain with neat diagram, LS and JJ coupling, for two electron atoms
   • (b) Attempt any one : 5 What allowed and forbidden transitions?
   • (ii) Determine the Spectroscopic terms arising from two electrons in's' states respectively, by LS coupling 3 Attempt any one : 10 What is normal Zeeman effect? Discuss the quantum theory
   • (ii) Explain Paschen Back effect. Give the quantum theory of the Paschen - Back effect
   • (b) Attempt any one : @) Lande's 'g' factor for and
   • (ii) line of 4000 A is subject to 0.5 of magnetic field. The normal Zeeman shift is found to be A. Determine the specific charge of the electron (e/m). Given 3 x m/s
2. Q4 (a) Attempt any one : av
   • (i) What is Raman effect? Give mechanical explanation for it
   • (ii) Assuming a diatomic to be a rigid rotator, derive an expression for its mome inertia and its rotational energy. Explain how energy levels if the effect of bond elongation is
   • (b) Attempt any one : =
   • (i) The force of the bond in CO molecule is 187 N/m. Find the : vibration of the CO molecule and the spacing between the energy states in terms of electron volt Define polarizability of What is polarizability ellipsoid? Explain polarizability ofa diatomic molecule
   • Q.P. Code : 42826
   • (a) Attempt any one : 4
   • (i) Determine the value of zero point energy in ev for a quantum oscillator
   • (ii) Discuss the space quantization of orbital angular momentum for d state electron in hydrogen atom
   • (b) Attempt any one : 4 are symmetric and antisymmetric wavefunctions?
   • (ii) Explain rule by considering Mn (Z = 25) atom
3. Q5 (c) Attempt any one: 4 marks
   • (i) What is anomalous Zeeman effect? State the expression for the additional energy acquired when the atom is placed in a weak magnetic (Gi) Draw the vector model to represent the situation that leads to normal Zeeman effect. Why does normal Zeeman effect occur only in atoms with an even number of electrons?
   • (d) Attempt any one : 3
   • (i) energy level diagram for vibrational rotational Raman spectrum (Gi) the natural frequency of oscillation of Hydrogen molecule if it's force constant is 480n/m and mass of Hydrogen atom is

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