SET 2
1. While discussing the period of oscillation of a simple pendulum, one student argues that theperiod depends on mass of the bob.
a) What is your opinion?
b) How will you prove the argument dimensionally? [1+2=3]
2. The velocity – time graph of an object moving along a straight line is shown below.
a) Define uniform velocity.
b) Calculate the displacement of the object between O and 10 seconds.
c) Find the average velocity during the whole journey.
[1+2+2=5]
3. A body is fired with an average velocity of 320m/s at an angle of 30º with the horizontal.
a) What is the nature of the path of the projectile?
b) Find the time to reach its maximum height
c) Find the maximum height attained.
d) With the same velocity, what is the maximum range possible?
[1/2+11/2+11/2+11/2=5]
4. A circular track of radius 400m is kept with outer side of the track raised to make 5º with the
horizontal (Coefficient of friction= 0.2)
a) Name the track
b) What is the optimum speed to avoid wear and tear of tyre ?
c) What is the maximum speed with which the vehicle will move without skidding?[1+2+2=5]
5.
a) The velocity – time graph of an object is shown below. Find the sign of work done in the
following intervals.
10
V (m/s)
2 5 10
t (s)
E
D
C
A B
t (s)
V (m/s)
b) Two bodies of masses 1Kg and 4Kg have equal linear momenta. What is the ratio of their
Kinetic Energies? [2+3=5]
6. Moment of inertia of a ring about an axis passing through its centre and perpendicular to its
plane is MR2 where M is the mass of the body and R its radius.
a) What is meant by moment of inertia?
b) Explain the parallel axis theorem.
c) State perpendicular axis theorem.
d) Calculate the moment of inertia of a rin of mass 3Kg and radius 0.5m about a tangent in
its plane. [1+2+2+2=5]
7. When we throw a stone into air, it comes back to earth. But when we increase the speed of the
stone, it may escape from the gravitaztional field of earth.
a) What is the value of escape velocity of earth?
b) Obtain an expression for escape velocity.
c) Will a simple pendulum oscillate in an artificial satellite? [1+2+2=5]
8.
a) What is surface tension?
b) Why does a parachute descend slowly where as a stone dropped from the same height falls
rapidly?
c) What is the approximate volume strain of a cube when each edge of a cube shortens by
1%? [1+2+3=6]
9.
a) There are two wires of same material and same length while the diameter of the second
one is two times the diameter of the first one. Then what is the ratio of extension produced
in the wire by applying the same load?
b) Identify the type of modulus of elasticity in the above problem [2+1=3]
10. Thermodynamics is a branch of physics dealing with the inter-conversion of heat and energy.
a) What is meant by thermal equilibrium
b) State first law of thermodynamics.
c) State second law of thermodynamics.
11. Carnot engine is an ideal heat engine.
a) What is meant by heat engine?
b) What are the four stages of Carnot engine?
c) Obtain the equation for its efficiency.
d) Refrigerator is a heat engine. Is the statement correct? Substantiate. [1+2+1+1=5]
12.
a) While performing resonance column experiment, we can hear a cooing sound. What is the
physical concept involved in it?
b) Explain the normal modes of vibrations in the case of air in a closed pipe at both ends and
draw it graphically. [[2+2=4]
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