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)
- What are cyclic coordinates?
- Sketch the distance – time and velocity – time graph for uniformly accelerating mmotion.
- State Newton’s law of gravitation.
- An electron of rest mass 9.1 ×10-31 Kg is moving with a speed of 0.99c. What is its total energy?
- Define coefficient of viscosity of a liquid.
- Define Poisson’s ratio. Give its theoretical limiting values.
- Draw the circuit diagram of an Op-amp based Inverting amplifier.
- Simplify Y=
- State the postulates of special theory of relativity.
- Explain the term ‘frame of reference’
PART – B
Answer any FOUR questions (4×7.5=30)
- (i) What are generalized coordinates? (2)
(ii) What are constraints? Explain the different classification of constraints with examples.(5.5)
- Deduce Einstein’s mass – energy equivalence relation.
- Show that the excess of pressure inside a soap bubble is.
- (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)
- 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)
- Setup and solve Lagrange’s equation for (i) simple pendulum and (ii) Atwood’s machine
- Describe in detail the Cavendish method for determining G.
- Obtain the relation connecting the three modulii of elasticity.
- With a neat circuit diagram explain the working of an Op-amp based Inverting summing amplifier, integrator and differentiator. (4+4+4.5 marks)
- Explain the construction and working of Michelson’s Morley experiment. Discuss the results.
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