KSOU Model Question Papers 1st Semester M.Sc. Physics : Karnataka State Open University

Name of the Organization : Karnataka State Open University (karnatakastateopenuniversity.in)
Type of Facility : 1st Semester M.Sc. Physics Model Question Papers
Location : Mysore

Website : http://karnatakastateopenuniversity.in/

I Semester M. Sc Degree Examination :
Physics : Classical Mechanics
Time : 3 Hours
Max. Marks : 80

Answer all questions :
Question-1 :a) Prove that the sum of PE and KE remains constant for a system of particles moving under the action of a conservative force.
b) Define centre of mass for a system of particles (10+5)
(OR)
Question-2 : a) Starting from D’Alembert’s principle, derive an expression for Lagrange’s equations of motion.
b) What are constraints- Write their classification. (10+5)

Question-3 :a) Derive Hamilton’s canonical equations of motion from variational principle.
b) Obtain Hamiltonian for one dimensional simple harmonic oscillator. (10+5)
(OR)
Question-4 :a) Define the term ‘canonical transformation’ and hence derive the condition for a canonical transformation.
b) Define Poisson bracket and express Hamilton’s equation of motion using Poisson’s equation. (10+5)

Question-5 : a) Using Hamilton –Jacobi method solve one dimensional harmonic oscillator problem.
b) State and prove parallel axis theorem. (10+5)
(OR)
Question-6 : a) Set up Euler equations of motion for a rigid body.
b) What do you mean by inertia- Explain its physical significance. (10+5)

Question-7 :a) Deduce E2= p2 c2 + m2o c4
b) Discuss the simultaneity in relativity. (10+5)
(OR)
Question-8 : a) Deduce Newton’s gravitational theory from Einstein’s field equations
b) What is meant by principle of covariance- Differentiate between covariance and invariance. (10+5)

Question-9 :Answer any FOUR of the following.
a.Obtain the equation of motion for Atwood machine.
b.Give the significance of Hamiltonian function.
c.Calculate the inertia tensor for the system of four point masses 2g, 3g, 4g and 6g located at the points (1,0,0), (1,-1,0), (1,1,-1) and (1,-1,1).
d.At what speed does a meter stick move if its length is observed to shrink to 0.5m-
e.Describe the equivalence principle.

Physics : Atomic and Molecular Physics
Time : 3 Hours
Max. Marks : 80

Answer all questions :
Question-1 :a) Obtain an expression for the rotational energy of a diatomic molecule considering rigid rotator model.
b) Briefly explain Born –Oppenheimer approximation (10+5)
(OR)
Question-2 : a) With the help of energy level diagram, explain the rotational structure of electronic transition.
b) Write a note on the formation of band head in rotational band spectra for ‘ ” B’v < B”v using Fortrat parabola. (10+5)

Question-3 :a) Describe the parameters of a molecular structure in detail.
b) Write the differences between electrovalent bond and covalent bond. (10+5)
(OR)
Question-4 :a) Based on the Valence bond theory, explain the electrical conductivity of metals and semi-metals.
b) Briefly explain sp- hybridization along with its characteristics. (10+5)

Question-5 : a) Explain the processes of induced absorption, spontaneous emission and stimulated emission in LASERS using Einstein’s coefficients.
b) Write a note on ‘coherence’ in Lasers. (10+5)
(OR)
Question-6 : a) Explain the construction and working of He-Ne Laser. Mention its applications.
b) Write the applications of Holography techniques. (10+5)

Question-7 : a) Define Harmonic generation. How second harmonic generation can be observed experimentally-
b) Explain the environmental application of Laser Raman Spectroscopy. (10+5)
(OR)
Question-8 : a) What is mode locking of Lasers- Discuss with examples.
b) Explain Optical fiber communication briefly. (10+5)

Question-9 : Answer any FOUR of the following. (10+5)
a) Obtain an expression for rotational level with maximum intensity using Boltzmann distribution law.
b) Write a note on non-rigid rotator
c) Explain lattice energy along with some examples.
d) What is close packing structure- Explain in brief.
e) What do you mean by pumping in Lasers- What are its types-
f) Discuss the construction of CO2 laser along with the neat diagram.
g) Explain why anti-Stokes’ lines are less intense than Stokes’ lines-
h) Write a note on the application of short pulse lasers-

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