05. Rotational Motion and Rotational Energy
Rotational Motion

150325 If the earth suddenly contracts to \(\left(\frac{1}{3}\right)^{\text {rd }}\) of its present size without change in its mass, the ratio of kinetic energy of the earth after and before contraction will be (Earth is assumed to be a sphere)

1 3
2 9
3 7
4 5
Rotational Motion

150326 A body of mass \(m\) slides down a smooth inclined plane of inclination ' \(\theta\) ', and reaches the bottom with velocity ' \(V\) '. If the same body is a ring which rolls down the same inclined plane the linear velocity at the bottom of plane is

1 \(2 \mathrm{~V}\)
2 V
3 \(\frac{\mathrm{V}}{\sqrt{2}}\)
4 \(\frac{\mathrm{V}}{2}\)
Rotational Motion

150327 If ' \(I\) ' is the moment of inertia and ' \(L\) ' is angular momentum of a rotating body, then \(\frac{L^{2}}{2 I}\) is its

1 translational kinetic energy
2 rotational kinetic energy
3 linear momentum
4 torque
Rotational Motion

150328 The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is ' \(I\) '. It is rotating with angular velocity ' \(\omega\) '. Another identical ring is gently placed on it so that their centers coincide. If both the ring are rotating about the same axis, then loss in kinetic energy is

1 \(\frac{I \omega^{2}}{3}\)
2 \(\frac{I \omega^{2}}{4}\)
3 \(\mathrm{I} \omega^{2}\)
4 \(\frac{I \omega^{2}}{2}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

150325 If the earth suddenly contracts to \(\left(\frac{1}{3}\right)^{\text {rd }}\) of its present size without change in its mass, the ratio of kinetic energy of the earth after and before contraction will be (Earth is assumed to be a sphere)

1 3
2 9
3 7
4 5
Rotational Motion

150326 A body of mass \(m\) slides down a smooth inclined plane of inclination ' \(\theta\) ', and reaches the bottom with velocity ' \(V\) '. If the same body is a ring which rolls down the same inclined plane the linear velocity at the bottom of plane is

1 \(2 \mathrm{~V}\)
2 V
3 \(\frac{\mathrm{V}}{\sqrt{2}}\)
4 \(\frac{\mathrm{V}}{2}\)
Rotational Motion

150327 If ' \(I\) ' is the moment of inertia and ' \(L\) ' is angular momentum of a rotating body, then \(\frac{L^{2}}{2 I}\) is its

1 translational kinetic energy
2 rotational kinetic energy
3 linear momentum
4 torque
Rotational Motion

150328 The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is ' \(I\) '. It is rotating with angular velocity ' \(\omega\) '. Another identical ring is gently placed on it so that their centers coincide. If both the ring are rotating about the same axis, then loss in kinetic energy is

1 \(\frac{I \omega^{2}}{3}\)
2 \(\frac{I \omega^{2}}{4}\)
3 \(\mathrm{I} \omega^{2}\)
4 \(\frac{I \omega^{2}}{2}\)
Rotational Motion

150325 If the earth suddenly contracts to \(\left(\frac{1}{3}\right)^{\text {rd }}\) of its present size without change in its mass, the ratio of kinetic energy of the earth after and before contraction will be (Earth is assumed to be a sphere)

1 3
2 9
3 7
4 5
Rotational Motion

150326 A body of mass \(m\) slides down a smooth inclined plane of inclination ' \(\theta\) ', and reaches the bottom with velocity ' \(V\) '. If the same body is a ring which rolls down the same inclined plane the linear velocity at the bottom of plane is

1 \(2 \mathrm{~V}\)
2 V
3 \(\frac{\mathrm{V}}{\sqrt{2}}\)
4 \(\frac{\mathrm{V}}{2}\)
Rotational Motion

150327 If ' \(I\) ' is the moment of inertia and ' \(L\) ' is angular momentum of a rotating body, then \(\frac{L^{2}}{2 I}\) is its

1 translational kinetic energy
2 rotational kinetic energy
3 linear momentum
4 torque
Rotational Motion

150328 The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is ' \(I\) '. It is rotating with angular velocity ' \(\omega\) '. Another identical ring is gently placed on it so that their centers coincide. If both the ring are rotating about the same axis, then loss in kinetic energy is

1 \(\frac{I \omega^{2}}{3}\)
2 \(\frac{I \omega^{2}}{4}\)
3 \(\mathrm{I} \omega^{2}\)
4 \(\frac{I \omega^{2}}{2}\)
Rotational Motion

150325 If the earth suddenly contracts to \(\left(\frac{1}{3}\right)^{\text {rd }}\) of its present size without change in its mass, the ratio of kinetic energy of the earth after and before contraction will be (Earth is assumed to be a sphere)

1 3
2 9
3 7
4 5
Rotational Motion

150326 A body of mass \(m\) slides down a smooth inclined plane of inclination ' \(\theta\) ', and reaches the bottom with velocity ' \(V\) '. If the same body is a ring which rolls down the same inclined plane the linear velocity at the bottom of plane is

1 \(2 \mathrm{~V}\)
2 V
3 \(\frac{\mathrm{V}}{\sqrt{2}}\)
4 \(\frac{\mathrm{V}}{2}\)
Rotational Motion

150327 If ' \(I\) ' is the moment of inertia and ' \(L\) ' is angular momentum of a rotating body, then \(\frac{L^{2}}{2 I}\) is its

1 translational kinetic energy
2 rotational kinetic energy
3 linear momentum
4 torque
Rotational Motion

150328 The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is ' \(I\) '. It is rotating with angular velocity ' \(\omega\) '. Another identical ring is gently placed on it so that their centers coincide. If both the ring are rotating about the same axis, then loss in kinetic energy is

1 \(\frac{I \omega^{2}}{3}\)
2 \(\frac{I \omega^{2}}{4}\)
3 \(\mathrm{I} \omega^{2}\)
4 \(\frac{I \omega^{2}}{2}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here