LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.Sc. DEGREE EXAMINATION – CHEMISTRY

SIXTH SEMESTER – April 2009
CH 6606 / 6600 – MOLECULAR DYNAMICS
Date & Time: 18/04/2009 / 9:00 – 12:00 Dept. No. Max. : 100 Marks
PART – A
Answer ALL questions. (10 x 2 = 20 marks)
 Define the term orbit and orbitals.
 State Pauli’s exclusion principle.
 Define the term degeneracy of an energy level.
 What is Quantum Yield?
 Give the significance of φ^{2}.
 Find the value of ln N_{A}!, ( Where N_{A} is Avagadro’s number )using Stirlings
approximation.
 State the StarkEinistien’s law.
 Define Chemiluminescence.
 What are thermal reactions? Give an example.
 Mention any two methods of studying fast reactions.
PART – B
Answer any EIGHT questions. (8 x 5 = 40 marks)
 How is photoelectric effect explained by quantum theory.
 Calculate the radius of the electron in the first orbit of hydrogen atom.
 Derive the expression for the energy of an electron in the n^{th} shell of hydrogen.
 State the postulates of quantum mechanics and explain any one of them.
 Define the Laplacian operator and Hamiltonian operator.
 Explain SackurTetrode equation and mention the terms involved.
 A system of N particles has among others, two energy levels with g_{1} = 2,
g_{2} = 3, E_{1} = 41.84 kJmol^{1} and E_{2} = 58.58 kJmol^{1}. Calculate the ratio of the number of particles in the two energy states at 1000K.
 Derive the relation between partition function and energy.
 Explain Photo sensitisation.
 Explain the primary and secondary processes in a photochemical reaction.
 Describe flash photolysis.
 Explain the kinetics of photochemical reaction between H_{2} and Br_{2}.
PART – C
Answer ANY FOUR questions. (4 x 10 = 40 marks)
 Explain (i) Black body radiation (ii) Separation of partition function.
 Derive the expression of Eigen value ‘E’ and Eigen function ‘ψ ‘ for a particle
in one dimensional box.
 (i) Derive an expression for translation partition function.
(ii) Calculate the translational partition function for benzene in a volume of
1 m^{3} at 25^{o}C.
 Derive the Maxwell – Boltzmann distribution law.
 Explain any tow of the following
(i) Radiationless transition.
(ii) Phosphorescence
 Actinometers
 Zeemann effect
 (i) Derive the SternVolmer equation.
(ii) Explain Jablanski diagram.
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