Loyola College B.Sc. Mathematics April 2008 Physics For Mathematics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

           B.Sc. DEGREE EXAMINATION – MATHEMATICS

FG 49

THIRD SEMESTER – APRIL 2008

PH 3100 (PHYSICS FOR MATHEMATICS)

 

 

 

Date : 07-05-08                  Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART A                             (10 x 2 m= 20 m)

 

  • Draw graphs of kinetic and potential energies of simple harmonic motion as function of displacement.
  • State the theorem of parallel axes of moment of inertia.
  • State the Kepler’s laws of planetary motion.
  • What is gravitational red shift?
  • Define Poisson’s ratio.
  • List any two phenomena which bring out the surface tension of water.
  • Distinguish holonomic constraints from non-holonomic constraints.
  • Two photons travel in opposite direction. Find the relative velocity of one with respect to the other.
  • What are beats?
  • How is a stationary wave formed?

 

PART B                               (4 x 7 ½ m = 30 m)

ANSWER ANY FOUR QUESTIONS

 

  • Prove that a small oscillation of a liquid in a U-tube is simple harmonic.
  • (a)State and explain the principle of equivalence of general theory of relativity. (b)Explain any one experiment in support of general theory of gravitation.
  • Explain the torsional oscillation method of determining rigidity modulus of the material of a wire.
  • (a) Write down the Lorentz transformation equations (b) Determine the velocity of a particle whose kinetic energy is equal to its rest mass energy.
  • Determine the fundamental frequency and the first overtones of (i) open pipe and (ii) closed pipe

 

PART C                          (4 x 12 ½ m = 50 m)

ANSWRER ANY FOUR QUESTIONS

 

  • (a) Find the moment of inertia of a thin rod about an axis perpendicular to its length and passing through one of its ends.(b)Obtain an expression for acceleration of a body rolling down an inclined plane
  • (a) Determine the time period of an earth satellite which is orbiting near the surface of earth (b) Estimate the height of a geostationary satellite (c) What is escape velocity? Find an expression for it.
  • Obtain an expression for the volume rate of flow of a liquid through a capillary tube by Poiseuilles method.
  • Solve the problems of (i) Atwood’s machine and (ii) simple pendulum by Lagrangian dynamics
  • What is Doppler effect? Find expression for the apparent frequency in the case of (i) source moving towards stationary observer and (ii) observer moving towards stationary source.

 

 

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