**1.**The moment of inertia of two rotating bodies A and B are I

_{A}and I

_{B}(I

_{A}> I

_{B}) and their angular momenta

are
equal. Which one has a greater kinetic energy?

**2.**What is the value of torque on the planet due to the gravitational force of sun?

**3.**Name two factors which determine whether a planet would have atmosphere or not.

**4.**A satellite does not require any fuel to orbit the earth. Why?

**5.**Why is it easier to swim in sea water than in the river water?

**6.**From a uniform disc of radius R, a circular disc of radius R/2 is cut out. The centre of the hole is at R/2

from the centre of original
disc. Locate the centre of gravity of the resultant flat body

**OR**

**If the radius of the earth were to decrease by 1%, keeping its mass same, how will the acceleration due**

to
gravity change?

**7.**A metre stick is balanced on a knife edge at its centre. When two coins, each of mass 5 g are put one

on top of the other at the 12.0 cm mark, the stick is found to be
balanced at 45.0 cm, what is the mass

of the meter stick?

**8.**How will you distinguish between a hardboiled egg and a raw egg by spinning it on a table top?

**9.**Give the physical significance of moment of inertia.

**10.**Define gravitational potential. Give its SI units.

**11.**A disc 8.00 cm in radius rotates at a constant rate of 1 200 rev/min about its central axis. Determine

(a) its angular speed, (b) the linear speed
at a point 3.00 cm from its center, (c) the radial acceleration

of a point on the rim, and (d) the total
distance a point on the rim moves in 2.00 s.

**12.**A weight of 50.0 N is attached to the free end of a light string wrapped around a reel with a radius of

0.250
m and a mass of 3.00 kg. The reel is a solid disk, free to rotate in a vertical
plane about the

horizontal
axis passing through its center. The weight is released 6.00 m above the floor.

(a) Determine the tension in the string, the
acceleration of the mass, and the speed with which the

weight
hits the floor. (b) Find the speed calculated inpart (a), using the principle
of conservation of

energy

**.****13.**

**A cylinder of mass 10.0 kg rolls without slipping on a horizontal surface. At the instant its center of**

mass has a speed of 10.0 m/s, determine
(a) the translational kinetic energy of its center of mass, (b)

the rotational energy about its center of
mass, and (c) its total energy.

**14.**Define a) Young’s Modulus b)

**Shear Modulus c) Bulk modulus**

**15.**An airliner arrives at the terminal, and its engines are shut off. The rotor of one of the engines has an

initial
clockwise angular speed of 2 000 rad/s. The engine’s rotation slows with an
angular

acceleration
of magnitude 80.0 rad/s2. (a) Determine the angular speed after10.0 s. (b) How
long

does it take
for the rotor to comes to rest?

**16.**Explain how hydraulic lift works

**17.**A satellite of the Earth has a mass of 100 kg and is at an altitude of 2.00 x10

^{6}m. (a) What is the

potential
energy of the satellite–Earth system? (b) What is the magnitude of the
gravitational force

exerted by the
Earth on the satellite? (c) What force does the satellite exert on the Earth

**18.**The manual of a car instructs the owner to inflate the tyres to a pressure of 200 k pa. (a) What is the

recommended
gauge pressure? (b) What is the recommended absolute pressure (c) If, after the

required
inflation of the tyres, the car is driven to a mountain peak where the
atmospheric pressure is

10% below that
at sea level, what will the tyre gauge read?

**19.**Prove that the elastic potential energy per unit volume is equal to1/2×stress × strain.

**OR**

Which is more
elastic steel or rubber. Explain.

**20.**The mass of planet Jupiter is 1.9 × 10

^{27}kg and that of the sun is 1.99 × 10

^{30}kg. The mean distance of

Jupiter from the Sun is 7.8 × 1011m.
Calculate gravitational force which sun exerts on Jupiter, and the

speed of Jupiter

**.****21.**Explain if the ice on the polar caps of the earth melts, how will it affect the duration of the day?

**22.**Obtain an expression for the work done by a torque. Hence write the expression for power.

**23.**Kamal helps others.once,hand of his friend got wounded. He went to a doctor and an injection of

tetanus is
given to his friend.

(i)
What values do you
appreciate in Kamal?

(ii)
The nurse filled two
syringes of different bores. Diameter of small syringe is 2cm and of larger
piston is 3 cm.Which syringe will hurt
more to his friend if the same force is applied on both

**24**.a) Prove that the rate of change of angular momentum of a system of particles about a reference

point
is equal to the net torque acting on the system.

b)Derive the relation between angular momentum
and moment of Inertia for rigid body rotating

about fixed axis

**OR**

**Obtain an expression for linear acceleration of a cylinder rolling down on inclined plane and hence**

find condition for cylinder to roll down
inclined plane without slipping

**25.**a) Define escape velocity obtain an expression for escape velocity of a body from the surface of

earth?

b)
Derive expression for the orbital velocity of a satellite and its time period.
What is a geostatinary

satellite?. Obtain the expression for the
height of the geostationary satellite.

**OR**

Explain Kepler”s Planetary motion for a) Law
of orbits b) Law of areas c) Law of Periods and Prove

law of Periods

**26.**Draw and discuss stress versus strain graph, explaining clearly the terms elastic limit, permanent

set,
proportionality limit ,Elastic region, Plastic region and Fracture point

**OR**

a) State Pascal’s law and prove it. b) Show
how pressure varies with depth.