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

THIRD SEMESTER – NOV 2006
PH 3100 – PHYSICS FOR MATHEMATICS
(Also equivalent to PHY 100)
Date & Time : 28102006/9.0012.00 Dept. No. Max. : 100 Marks
PART A
Answer ALL questions: 10 x 2 = 20 marks
 State Principle of Conservation of angular momentum.
 Give an expression for angular acceleration.
 State Newton’s law of Gravitation.
 What is parking orbit?
 Define Poisson’s ratio.
 Explain the term viscosity of a fluid.
 State the fundamental postulates of the special theory of relativity.
 Explain the term ‘frame of reference’.
 What are beats? How are they produced?
 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
 Prove that the oscillation of a liquid in a Utube is simple harmonic.
 Using Newton’s law of gravitation calculate (a) mass and density of earth (b) mass of sun [given G = 6.67 x 10^{11} Nm^{2} Kg^{2}; Radius of earth = 6.38 x 10^{6} m and distance of earth from centre of the Sun = 1.5 x 10^{11}
 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.
 On the basis of Lorentz transformation, derive an expression for length contraction.
 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
 Explain simple harmonic motion and discuss its characteristics. Derive Simple Harmonic equations by calculus.
 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.
 Define Young’s modulus, modulus of rigidity and Poisson’s ratio. Show that the bulk modulus of elasticity K = Y / [3(12σ)].
 Describe MichelsonMorley experiment. Discuss the results obtained.
 What is resonance? Explain the resonance column find the velocity of sound in air.
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