Andhra University 2006 B.Sc Physics . - Question Paper

ANDHRA UNIVERSITY
B.Sc., DEGREE exam
(Examination at the end of 1st Year)
JUNE 2006
PART II : Physics
Paper I : Mechanics, Waves & Oscillations

part - A (4 X 15 = 60 Marks)

ans all ques.

1. (a) describe gradient of a scalar field and curl of a vector. State and prove Stoke’s theorem.
(OR)
(b) describe Impact Parameter and Scattering cross-section. define the theory of Rutherford Scattering.

2. (a) What is a central force? provide examples. Show that the central force is conservative force.
(OR)
(b) State the postulates of the special theory of relativity. Deduce the Lorentz transformations.

3. (a) explain the composition of the special theory of relativity. Deduce the Lorentz transformations.
(OR)
(b) elaborate damped vibrations? Derive an expression for the displacement in the case of a damped oscillatory motion. explain the effect of damping on the natural frequency.

4. (a) provide the theory of N-coupled oscillators and extend it to find the wave formula.
(OR)
(b) Write an essay on the production, properties and detection of ultrasonics.

part -B
(5 X four = 20 Marks)

ans any 5 ques.
(Short ans Questions)

5. Prove that Curl (grad = ø) = 0, where ø is a scalar function.

6. discuss the principle of motion of a rocket. A rocket burns 0.02 kg of fuel per 2nd ejecting it as a gas with a velocity of 10,000 m/s. What force does the gas exert on the rocket?

7. provide a brief account of the classification of beams.

8. find Einstein’s mass-energy relation.

9. Write are limitations of Fourier theorem?

10. Write notes on logarithmic decrement.

11. discuss energy transfer in vibrating strings.

12. A string of length 8m fixed at both ends has a tension of 49 N and a mass of 0.04 kg. obtain the speed of transverse wave on this string.

part - D (10 X two = 20 Marks)

ans all ques..
(Very Short ans Questions)

13. State Green’s theorem.

14. Prove that div (curl A) = 0 where A is a vector.

15. What is meant by Lorentz Contraction ?

16. elaborate the characteristics of Simple Harmonic Motion ?

17. What is velocity resonance ?

18. provide any 2 examples of damped oscillations.

19. elaborate Lissajou’s figures ?

20. State the principle of conservation of angular momentum and provide 1 example.

21. provide 2 examples for variable mass system.

22. provide any 2 applications of ultrasonics.

Earning:   Approval pending.