M.Sc. DEGREE EXAMINATION, NOVEMBER 2017.
First Semester
Physics
CLASSICAL MECHANICS
(Common for M.Sc. (Physics)/M.Sc Physics (Spl. in
Biosensor)
(CBCS 2016 onwards)
Time 3 Hours Maximum 75 Marks
Part A (10 x 2 20)
Answer all questions.
All questions carry equal marks.
1. State principle of virtual work.
2. What is Routhian function?
3. State Hamilton's principle.
4. Define Poission Bracket.
5. What is moment of inertia?
6. What are the coordinate systems used to describe the
motion of a rigid body?
7. Write down the transformation equations.
Sub. Code
521101/522101
RW-930
2
Ws20
8. What is meant by time dilution?
9. What are coupled oscillators?
10. What is dispersion relation?
Part B x 5 25)
Answer all questions, choosing either or
11. Using Newton's law of motion, deduce the
conservation theorems of linear momentum,
angular momentum and energy for the motion of a
particle.
Or
Deduce Hamilton's equations from variational
principle.
12. State and prove the principle of least action.
Or
Explain Lagrange brackets and discuss the relation
between the Lagrange brackets and Poisson
brackets.
13. Define inertia tensor. Give its physical significance.
Or
Derive an expression for the rotational kinetic
energy of a rigid body.
14. Give an explanation on Galilean and inverse
Galilean transformation.
Or
Give an explanation on equivalence of space and
time.
RW-930
3
Ws20
15. Find the solution for one dimensional oscillator
having small oscillations.
Or
Deduce the Eigen value of equation for small
oscillations.
Part C x 10 30)
Answer any three questions.
Each questions carry equal marks.
16. Derive Lagrange's equation of motion from D'Alembert's
principle.
17. What is phase space? State and prove Liouville's
theorem.
18. Explain Euler's angles.
19. Describe the Lorentz transformation and their physical
significances.
20. Discuss the vibrations of a linear triatomic molecule.
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