AN2C08/AP2C08/CH2C08/PH2C08/PO2C08 Molecular Spectroscopy M.Sc Model Question Paper : mgu.ac.in

Name of the University : Mahatma Gandhi University
Department : Chemistry
Degree : M Sc Chemistry
Subject Code/Name : AN2C08/AP2C08/ CH2C08/ PH2C08/ PO2C08 Molecular Spectroscopy
Sem : II
Website : mgu.ac.in
Document Type : Model Question Paper

Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/mgu.ac.in/5161-MScChem%20SemII-MQP.pdf

MGU Molecular Spectroscopy Question Paper

(common to all branches of Chemistry )
Model Question Paper :
Time: 3 Hrs

Related : MGU Organic Reaction Mechanism M.Sc Model Question Paper : www.pdfquestion.in/5160.html

Max. Weight: 30
Section A :
(Answer any 10 questions. Each question carries a weight of 1)
01. Explain the principle of Lamb-dip spectrum.
02. Derive an expression for Jmax for the rigid rotor.
03. What is the effect of substituting a hydrogen atom by a deuterium atom in hydrogen molecule on rotational constant B?

04. Discuss the factors influencing band width.
05. Explain Fermi resonance.
06. Explain the Raman activity of the various modes of vibrations of pyramidal AB3 molecules.

07. Discuss the applications of microwave spectroscopy in chemical analysis.
08. Explain predissociation.
09. Write Mc Connel equation and explain the terms.
10. Explain Kramer’s degeneracy.

11. Calculate the resonance frequency of hydrogen nucleus in an applied field of 2.4 T if ßN = 5.05 x 10-27 JT-1 and g = 5.585.
12. Draw the EPR spectrum of methyl free radical.
13. Explain the principle of NQR spectroscopy.
(10 x 1 =10 weights)

Section B :
(Answer 5 questions by attempting not more than 3 questions from each bunch. Each question carries a weight of 2)
Bunch 1 : (Short Essay Type)
14. Explain the various factors influencing the intensity of spectral lines.
15. What are selection rules? Discuss the selection rules in microwave, IR, Raman and EPR spectroscopy.

16. Discuss FT techniques in spectroscopy and explain its advantages.
17. Explain Karplus relationship.

Bunch 2 : (Problem Type)
18. The rotational spectrum of 79Br19F shows a series of equidistant lines separated by 0.71433 cm-1. Calculate the rotational constant, moment of inertia and Br-F bond length.

19. The fundamental and first overtone transition of 14N16O are centred at 1876.06 cm-1 and 3724.20 cm-1 respectively. Calculate the force constant, zero point energy, anharmonicity constant and equilibrium vibration frequency of the molecule.

20. Predict the EPR spectrum of the following radicals (a) CF2H, (b) 13CF2H and (c) (C10H8)-
21. Calculate the relative population Nupper/Nlower if ???????x 10-26 J in a 2.3487 T field and J in a 0.33 T field for nuclei and electrons respectively.
(5 x 2 =10 weights)

Section C :
(Answer any 2 questions. Each question carries a weight of 5)
22. Discuss any three methods used for simplification of second order NMR spectra.
23. Outline the principle of Mossbauer spectroscopy. Explain the application of this technique in the study of Fe(II) and Fe(III) cyanides.

24. Discuss
a) Relaxation methods in NMR spectroscopy
b) Nuclear Overhauser Effect.

25. Discuss
a) Classical and quantum theory of Raman effect.
b) Resonance Raman scattering and resonance fluorescence. (2 x 5 =10 weights)

Classical Mechanics Question Paper :
PH1C02-Classical Mechanics :
Time : 3 hrs Total weightage: 30
Part A (Answer any 6 questions, weightage-1)
1. State the Hamiltonian conservation theorem.
2. State and explain the least action principle.
3. Derive the relationship between Poisson bracket and Lagrange bracket.

4. How does the short wavelength limit of Schroedinger equation leads to Hamilton- Jacobi equation?
5. Discuss the nature of Coriolis’ force.

6. What are the advantages of Hamiltonian formalism over Lagrangian formalism?
7. State the Kepler’s laws of planetary motion.
8. Outline the principle of equivalence.

9. What is meant by a linear system and a non linear system?
10. What is Lyapunov exponent? What is its significance?

Part B : (Answer any 4 questions, weightage-2)
11. Using Hamilton’s equations, show that the angular momentum is conserved in a central force problem.
12. Using Poisson brackets, check whether the transformation defined by q = 2P sinQ, p = 2P cosQ is canonical.

13. Prove that the rotational kinetic energy is conserved in the torque free motion of a rigid body.

14. For a diatomic molecule consisting of masses m1 and m2 connected by a spring of force constant k vibrating along the line joining the masses, determine the normal frequencies and normal co-ordinates.
16. Calculate the fractal dimensions of Cantor set and Sierpinski gasket.