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Posted By: lalitha Member Level: Bronze Posted Date: 16 Dec 2007
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2006 Andhra University B.Sc B.sc.(physics) degree examination APRIL 2006 Question paper
ANDHRA UNIVERSITY
B.Sc., DEGREE EXAMINATION
(Examination at the end of First Year)
APRIL 2006
PART II : Physics
Paper I : Mechanics, Waves & Oscillations
section - A (4 X 15 = 60 Marks)
Answer all questions
1. (a) Explain 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) Explain impact parameter and scattering cross section. Obtain the expression for Rutherford scattering cross section.
2. (a) Write a detailed note on the elastic constants of isotropic solids and obtain their relation. Explain the classification of beams.
(OR)
(b) Explain central forces with suitable examples. Obtain the equation of motion under a central force. Explain Kepler’s laws.
3. (a) Explain the characteristics of simple harmonic motion. Discuss analytically the linear combination of two simple harmonic motions of the same frequency acting at right angles with various phase differences.
(OR)
(b) What are forced oscillations ? Obtain an expression for the amplitude of forced vibrations and deduce the condition for resonance.
4. (a) Describe the theory of N-coupled oscillators and extend it to obtain the wave equation.
(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 ?
section -B (5 X 4 = 20 Marks)
Answer any five questions
(Short Answer Questions)
5. State and explain Green’s theorem.
6. Obtain Euler’s equations and explain their importance.
7. Explain the theory of a Cantilever with an end load.
8. Explain the result of Michelson-Morley experiment.
9. Obtain the differential equation of damped oscillator and write its solution.
10. Explain Fourier theorem and the method to evaluate the Fourier coefficients.
11. Explain energy transport in vibrating strings.
12. How are ultrasonic waves produced by piezoelectricity?
section - C (10 X 2 = 20 Marks)
Answer all questions.
(Very Short Answer Questions)
13. Explain vector integration.
14. Explain centre of mass.
15. What is gravitational field?
16. Explain the concept of time dilation.
17. Write the expression for the frequency of vibration of a loaded spring taking its mass into consideration
18. Explain velocity resonance.
19. Give two examples of two coupled oscillators.
20. What are overtones?
21. Explain two properties of ultrasonics.
22. Explain magnetostriction.
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