LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

   B.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – NOVEMBER 2010

PH 3104 / 3100 – PHYSICS FOR MATHEMATICS – I

 

 

 

Date : 10-11-10                     Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART A

Answer ALL questions:                                                                                             10 x 2 = 20

 

1. Distinguish between distance covered and displacement of an object in motion.
2. What are generalized co-ordinates in Lagrangian formulation?
3. State any two laws of planetary motion due to Kepler.
4. What is gravitational red shift?
5. State Hooke’s law of elasticity
6. Explain the term “viscosity” of a fluid.
7. What are the characteristics of an ideal operational amplifier?
8. What do you understand by flip-flop ?
9. A rod of one meter length is moving along its length with a velocity 0.6c. Calculate its length as it appears to an observer on earth?
10. State Einstein mass-energy relation.

 

PART B

Answer any FOUR questions:                                                                                   4 x 7.5 = 30

11. Explain distance –time graph and velocity –time graph for an object executing horizontal motion.
12. Explain the variation of acceleration due to gravity with i) altitude and ii) depth.
13. Obtain the expression for excess pressure over (i) a curved surface and (ii) a cylindrical drop.
14. With circuit diagrams explain the working of an op-amp based integrator and a differentiator.
15. Derive Lorentz transformation equations from special theory of relativity.

 

PART C

Answer any FOUR questions:                                                                                   4 x 12.5 = 50

16. Show that path of a projectile projected at an angle α to the horizontal is a parabola. Derive an expression for its time of flight, maximum height reached and horizontal distance covered.
17. What is a stationary satellite? Define escape velocity. Show that the escape velocity from the surface of the earth is 11 km/s.  Distinguish between orbital velocity and escape velocity.
18. With a neat sketch explain how you will determine the surface tension of a given liquid by capillary rise method
19. What are electronic counters? Explain four bit binary up counter with a suitable diagram.
20. Describe Michelson-Morley experiment. Discuss the results of the experiment.

 

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – NOVEMBER 2012

PH 3104 – PHYSICS FOR MATHEMATICS – I

 

 

Date : 07/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

Answer ALL questions                                                                                                 (10×2=20)

1. What are cyclic coordinates?
2. Sketch the distance – time and velocity – time graph for uniformly accelerating mmotion.
3. State Newton’s law of gravitation.
4. An electron of rest mass 9.1 ×10^-31 Kg is moving with a speed of 0.99c. What is its total energy?
5. Define coefficient of viscosity of a liquid.
6. Define Poisson’s ratio. Give its theoretical limiting values.
7. Draw the circuit diagram of an Op-amp based Inverting amplifier.
8. Simplify Y=
9. State the postulates of special theory of relativity.
10. Explain the term ‘frame of reference’

PART – B

Answer any FOUR questions                                                                                       (4×7.5=30)

11. (i) What are generalized coordinates? (2)

(ii) What are constraints? Explain the different classification of constraints with examples.(5.5)

12. Deduce Einstein’s mass – energy equivalence relation.
13. Show that the excess of pressure inside a soap bubble is.
14. (i) Simplify using K map: Y=F(A,B,C,) = Σ (0,2,4,6,7) (2.5)

(ii) With a neat circuit diagram explain the working of a half adder.                  (5)

15. On the basis of Lorentz transformation, derive the expressions for length contraction and time dilation.

PART – C

Answer any FOUR questions                                                                                       (4×12.5=50)

16. Setup and solve Lagrange’s equation for (i) simple pendulum and (ii) Atwood’s machine
17. Describe in detail the Cavendish method for determining G.
18. Obtain the relation connecting the three modulii of elasticity.
19. With a neat circuit diagram explain the working of an Op-amp based Inverting summing amplifier, integrator and differentiator. (4+4+4.5 marks)
20. Explain the construction and working of Michelson’s Morley experiment. Discuss the results.

 

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