LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034                                B.Sc. DEGREE EXAMINATION – MATHEMATICS

AC 03

THIRD SEMESTER – NOV 2006

PH 3100 – PHYSICS FOR MATHEMATICS

(Also equivalent to PHY 100)

 

 

Date & Time : 28-10-2006/9.00-12.00     Dept. No.                                                       Max. : 100 Marks

 

 

PART A

Answer ALL questions:                                                                 10 x 2 = 20 marks

 

1. State Principle of Conservation of angular momentum.
2. Give an expression for angular acceleration.
3. State Newton’s law of Gravitation.
4. What is parking orbit?
5. Define Poisson’s ratio.
6. Explain the term viscosity of a fluid.
7. State the fundamental postulates of the special theory of relativity.
8. Explain the term ‘frame of reference’.
9. What are beats?  How are they produced?
10. The driver of a car moving towards a factory with velocity 30 m/s sounds the horn with a frequency of 240 Hz.   Find the apparent frequency of sound heard by the watchman of the factory.

PART B

Answer any FOUR questions:                                                      4 x 7.5 = 30 marks

 

11. Prove that the oscillation of a liquid in a U-tube is simple harmonic.
12. Using Newton’s law of gravitation calculate (a) mass and density of earth (b) mass of sun [given G = 6.67 x 10^-11 Nm² Kg^-2; Radius of  earth = 6.38 x 10⁶ m and distance of earth from centre of the Sun = 1.5 x 10¹¹
13. Obtain Stoke’s law for the motion of body in a viscous medium from dimensional considerations. Also determine the Coefficient of viscosity of a liquid from Stoke’s formula.
14. On the basis of Lorentz transformation, derive an expression for length contraction.
15. Explain Doppler Effect. Derive a general expression for  the apparent frequency of a note when both the source and the listener are in motion.

 

PART C

Answer any FOUR questions:                                                    4 x 12.5 = 50 marks

 

1. Explain simple harmonic motion and discuss its characteristics.  Derive Simple Harmonic equations by calculus.
2. What is stationary satellite? Define escape velocity.  Show that the escape velocity from the surface of the earth is equal to 11 km/s.  Distinguish between orbital velocity and escape velocity.
3. Define Young’s modulus, modulus of rigidity and Poisson’s ratio.  Show that the bulk modulus of elasticity K = Y / [3(1-2σ)].
4. Describe Michelson-Morley experiment.  Discuss the results obtained.
5. What is resonance?  Explain the resonance column find the velocity of sound in air.

 

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