Andhra University 2006 B.Sc Physics . - Question Paper

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


part - A (4 X 15 = 60 Marks)

ans all ques.

1. (a) discuss the terms ‘gradient of a scalar field’ and ‘curl of a vector field’. What is their physical significance. Prove that
(i) curl grad ø = 0.

(ii) div curl A = 0
Where ø is a scalar point function and A, a vector point function.
(OR)
(b) discuss impact parameter and scattering cross part. find the expression for Rutherford scattering cross part.

2. (a) Write a detailed note on the elastic constants of isotropic solids and find their relation. discuss the classification of beams.
(OR)
(b) discuss central forces with suitable examples. find the formula of motion under a central force. discuss Kepler’s laws.

3. (a) discuss the characteristics of simple harmonic motion. explain analytically the linear combination of 2 simple harmonic motions of the identical frequency acting at right angles with different phase differences.
(OR)
(b) elaborate forced oscillations ? find an expression for the amplitude of forced vibrations and deduce the condition for resonance.

4. (a) define the theory of N-coupled oscillators and extend it to find the wave formula.
(OR)
(b) Derive an expression for the speed of propagation of a transverse wave on a stretched string. How are standing waves formed in stretched strings ?

part -B (5 X four = 20 Marks)

ans any 5 ques.
(Short ans Questions)

5. State and discuss Green’s theorem.

6. find Euler’s equations and discuss their importance.

7. discuss the theory of a Cantilever with an end load.

8. discuss the outcome of Michelson-Morley experiment.

9. find the differential formula of damped oscillator and write its solution.

10. discuss Fourier theorem and the method to evaluate the Fourier coefficients.

11. discuss energy transport in vibrating strings.

12. How are ultrasonic waves produced by piezoelectricity?

part - C (10 X two = 20 Marks)

ans all ques..
(Very Short ans Questions)

13. discuss vector integration.

14. discuss centre of mass.

15. What is gravitational field?

16. discuss the concept of time dilation.

17. Write the expression for the frequency of vibration of a loaded spring taking its mass into consideration

18. discuss velocity resonance.

19. provide 2 examples of 2 coupled oscillators.

20. elaborate overtones?

21. discuss 2 properties of ultrasonics.

22. discuss magnetostriction.

Earning:   Approval pending.