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IGNOU MPH-16 (January 2026 – December 2026) Assignment Questions

PART A

1.a) Determine the shift in energy caused by relativistic correction to kinetic energy for n  2 and n  1 levels of hydrogen atom. Using appropriate selection rules, show which transitions are allowed.
b) The anti-symmetric spin function for a two electron system is given as:

c) Using Thomas-Fermi method, derive an expression for the total kinetic energy of N electrons in a cubic box of side L, and hence obtain the expression for pressure.
d) Using molecular orbital method, construct all possible trial wave functions (including spin) for a diatomic molecule. Of these functions, which trial function is expected to have the minimum energy? Give justification for your answer.
e) Write the Hamiltonian of a multi-electron atom. Obtain an expression for the effective potential experienced by an electron of this atom under the central field approximation.

PART B

2. a) The HCl molecule shows its first and second overtone transitions at 1 566.0 cm1 and 8339.0cm1 respectively. Assuming anharmonic oscillator model, determine the anharmoniticity constant, the equilibrium vibrational frequency, zero-point energy, and the force constant of this molecule.

b) The rotational constant for the excited electronic state of a particular molecule is 20% smaller as compared to the rotational constant of its ground electronic state. Determine the values for the first 15 lines of the R-branch. Discuss the variation of the separation between successive transition lines of this branch.

c) i) The fundamental vibrational frequency of a molecule occurs at 1730cm-1. Determine the position of Raman line if the molecule is excited with a laser of wavelength 514.5 nm.
ii) The spacing between S-branch of N2 molecule in Raman spectrum is 8cm-1 Calculate the bond length of the molecule.

d) Determine the collisional width for He-Ne laser operating at a gas pressure of 1 torr and gas temperature of 450 K. Obtain the ratio of spontaneous and stimulated emission if the wavelength is 632.8 nm.

e) Write the laser rate equation for a two level system and hence prove that the steady state population inversion cannot be achieved in a two level system.

IGNOU MPH-16 (January 2025 – December 2025) Assignment Questions

MPH-16 Assignments Details

University	:	IGNOU (Indira Gandhi National Open University)
Title	:	Atomic and Molecular Physics
Language(s)	:	English
Code	:	MPH-16
Degree	:	MSCPH
Subject	:	Physics
Course	:	Core Courses (CC)
Author	:	Gullybaba.com Panel
Publisher	:	Gullybaba Publishing House Pvt. Ltd.

IGNOU MPH-16 (Jan 26 - Dec 26, Jan 25 - Dec 25) - Solved Assignment

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