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1.
A neutron travelling with velocity 
and kinetic energy 
collides head on elastically with the nucleus of an atom of mass number 
at rest. The fraction of its kinetic energy retained by the neutron even after the collision is
and kinetic energy collides head on elastically with the nucleus of an atom of mass number at rest. The fraction of its kinetic energy retained by the neutron even after the collision is
2.
A disc is rolling (without slipping) on a horizontal surface 
is its centre and 
and 
are two points equidistant from . Let 
, 
and 
be the magnitude of velocities of pints 
and respectively, then
is its centre and and are two points equidistant from . Let , and be the magnitude of velocities of pints and respectively, then
3.
A torque of 
-
is applied on a 
wheel whose moment of inertia is 
for 
. The angle covered by the wheel in will be
- is applied on a wheel whose moment of inertia is for . The angle covered by the wheel in will be
4.
A uniform cylinder has a radius 
and length 
. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its length, then
and length . If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its length, then
5.
If the torque of the rotational motion be zero, then the constant quantity will be
6.
A body having moment of inertia about its axis of rotation equal to 
is rotating with angular velocity equal to 
. Kinetic energy of this rotating body is the same as that of body of mass 
moving with a speed of
is rotating with angular velocity equal to . Kinetic energy of this rotating body is the same as that of body of mass moving with a speed of
7.
An inclined plane makes an angle of 
with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to
with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to
8.
A circular thin disc of mass 
has a diameter 
. Calculate its moment of inertia about an axis passing through the edge and perpendicular to the plane of the disc (in 
)
has a diameter . Calculate its moment of inertia about an axis passing through the edge and perpendicular to the plane of the disc (in )
9.
Moment of inertia of a thin rod of mass 
and length about an axis passing through its centre is 
. Its moment of inertia about a parallel axis at a distance of 
from this axis is given by
and length about an axis passing through its centre is . Its moment of inertia about a parallel axis at a distance of from this axis is given by
10.
Two discs of the same material and thickness have radii and 
. Their moments of inertia about their axes will be in the ratio
and . Their moments of inertia about their axes will be in the ratio