Acharya Nagarjuna University (ANU) 2006 B.Sc Physics MECHANICS, WAVES AND OSCILLATIONS - Question Paper
Sunday, 10 February 2013 04:55Web
B.Sc. DEGREE EXAMINATION, MAY 2006.
(Examination at the end of 1st Year)
Part II - Physics
Paper I - MECHANICS, WAVES AND OSCILLATIONS
Time : 3 hours Maximum : 100 marks
part A - (2 x 15 = 30 marks)
ans any 2 of the subsequent ques.
1. describe and discuss the physical significance of 9a) Gradient of a scalar field (b) Divergence of a vector field (c) Curl of a vector field and show that the gradient of a scalar field is a vector.
2. describe a rigid body and find formula of motion for a rigid body rotating about the axis of symmetry.
3. discuss central forces and their conservative nature. Derive Kepler's 2nd legal regulations for planetary motion.
4. State the Postulates of special theory of relativity. Derive Lorentz transformation equations.
part B - (2 x 15 = 30 marks)
ans any 2 of the subsequent ques.
5. discuss the superposition principle. explain the linear combination of simple harmonic vibrations of the identical frequency.
6. explain the power dissipation in damped harmonic oscillator and discuss various methods of describing damping.
7. explain N-coupled oscillator analytically of a loaded string under tension.
8. define various methods of producing ultrasonic waves.
part - C (5 x four = 20 marks)
ans any 5 of the subsequent
9. Classify vector fields on the basis of divergence and curl.
10. State and prove Green's theorem
11. Distinguish ranging from impact parameter and scattering cross part.
12. Write a note on gyroscopes.
13. discuss the physical significance of decreased mass.
14. discuss laws of transverse vibrations of strings.
15. Write about acoustic grating.
16. Distinguish ranging from mechanical oscillator and electrical oscillator.
part - D (4 x five = 20 marks)
ans any 4 of the subsequent.
17. Using Stokes theorem prove that curl grad ???0.
18. Prove the when a particle collides elastically with a different particle of identical mass that is at rest, then after collision the 2 particles move at right angles to every other.
19. The rest mass of a proton is approximately 2000 times heavier than the rest mass of the electron. What should be the speed of the electron such that its mass will have the identical value as that of the rest mass of the proton ?
20. 2 springs of force constants K1 and K2 are connected in series and to loaded with mass 'm' at 1 end. Derive an expression for the effective force constant of the system.
21. compute the kinetic energy of an electron moving with a velocity of ???2.9 x108 m/sec. The rest mass of electron is 9.1 x 10-31kg.
22. A sodium chloride molecule has a natural vibrational frequency 1.14 x 1013Hz. compute the interatomic force constant. Mass of the sodium is 23 a.m.u and chlorine is 35 a.m.u (1 a.m.u. = 1.67 x 10-27kg)
23. A stretched string of length 0.25 m has a frequency of f = 300 Hz in the fundamental mode. obtain the velocity of the transverse wave in the string.
24. The ultrasonic wave emitted by a bar have a wavelength of one cm in air. compute the frequency of the ultrasonicwave.
Earning: Approval pending. |