LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – MATHEMATICS

SC 06

THIRD SEMESTER – APRIL 2007

PH 3100 – PHYSICS FOR MATHEMATICS

 

 

 

Date & Time: 28/04/2007 / 9:00 – 12:00 Dept. No.                                            Max. : 100 Marks

 

 

 

PART A

Answer ALL questions:                                                                 10 x 2 = 20 marks

 

1. Define Simple Harmonic motion.
2. A heavy fly wheel of moment of inertia 0.3 kg m² is mounted on a horizontal axle of radius 0.01 m and negligible mass compared with the flywheel. Neglecting friction, find the angular acceleration if a force of 40 N is applied tangentially to the axle.
3. State any two Kepler’s laws.
4. Define Gravitational Potential.
5. Explain the terms stress and strain.
6. Define Surface tension of a liquid.
7. State Einstein mass-energy relation.
8. Name the transformation under which Maxwell’s equations are invariant.
9. Explain Doppler Effect.
10. A tuning fork A of frequency 384 Hz gives 6 beats per second when sounded with another tuning fork B. On loading B with a little wax, the number of beats per second becomes 4.  What is the frequency of B?

 

PART B

 

Answer any FOUR questions:                                                      4 x 7.5 = 30 marks

 

11. Derive expressions for the periods of oscillation of the mass suspended when two springs are connected (i) in series (ii) in parallel.
12. Obtain an expression for the escape velocity of a body from the surface of the earth. Calculate its value.
13. Derive an expression for the work done in stretching a wire.
14. Obtain the time dilation formula of special theory of relativity.
15. Two trains traveling in opposite directions at 100 km/hr each, cross each other while one of them is whistling. If the frequency of the note is 800 Hz find the apparent pitch as heard by an observer in the other train: (i) before the trains cross each other (ii) after the train have crossed each other.

 

 

 

 

 

 

 

 

 

PART C

 

Answer any FOUR questions:                                                    4 x 12.5 = 50 marks

 

1. An object rolls without slipping down a smooth inclined plane find its acceleration.  Compare the acceleration of a solid cylinder with that of a hollow cylinder of the same mass.
2. State Newton’s law of gravitation.  With a neat diagram describe Boy’s experiment to determine G.  (2.5 + 10)
3. Define coefficient of viscosity and derive Poiseuille’s formula for the flow of a liquid through a capillary tube.
4. State the postulates of the Special Theory of Relativity.   On the basis of Lorentz transformation, derive an expression for length contraction.
5. State the laws of vibration of strings and describe experiments to verify the law concerning (i) length (ii) tension and (iii) linear density.

 

 

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