LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.Sc. DEGREE EXAMINATION – PHYSICS
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SECOND SEMESTER – April 2009
PH 2500 – MECHANICS & SOUND
Date & Time: 23/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks
PART – A
Answer ALL questions: (10×2=20 Marks)
- State the parallel axes theorem of moment of inertia.
- Two cars A &B are moving with velocities 24km/hr and 32km/hr due east and north
respectively. Find the relative velocity.
- Define centre of gravity.
- State the laws of floatation.
- What are holonomic and nonholonomic constraints?
- Define conservative and non conservative systems.
- A tuning fork A produces 4 beats/sec with a tuning fork of frequency 256 Hz. The fork A is filed and the
beats occur at shorter intervals. What was its original frequency?
- State the laws of vibrations of a transverse string.
- What is piezoelectric effect?
- A hall of volume 4500m3 is found to have a reverberation time of 2.37 sec. If the sound
absorbing surface of the hall has an area of 750m2, calculate the absorption coefficient.
PART – B
Answer any FOUR questions: (4×7.5=30 Marks)
- Show that the path of a projectile is a parabola.
- Find out the position of the centre of gravity of a hollow hemisphere.
- Apply Lagrange’s equations of motion to the Atwood machine to find out the acceleration
of the system.
- Discuss the effect of pressure, temperature and density on the velocity of sound.
- Describe the magnetostriction method of producing ultrasonic waves.
PART – C
Answer any FOUR questions: (4×12.5=50 Marks)
- a) Obtain an expression for the acceleration of a body rolling down an inclined plane
without slipping. (8.5)
- b) Discuss the above result for the cases of solid sphere and solid cylinder. (4)
- Find the location of the centre of pressure of a triangular lamina immersed in a liquid
with its (i) vertex and (ii) base, touching the surface of the liquid. (6+6.5)
- a)Derive the equation of motion for a simple pendulum, using Lagrangian method. (6)
b)State Hamiltonian principle and obtain Hamiltonian equations of motion. (6.5)
- Discuss the composition of two simple harmonic motions acting along (i) a straight line
and (ii) at right angles. (5+7.5)
- a) Define reverberation time and explain the use of Sabine’s formula. (2+4.5)
- b) Discuss the condition for good a acoustical design of an auditorium. (6)
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