Angular Momentum and its Conservation for a Rigid Body
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365676 The moment of inertia of a ring about an axis passing through the 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 centres coincide. If both the rings are rotating about the same axis, then loss in kinetic energy is

1 \(\dfrac{I \omega^{2}}{2}\)
2 \(\dfrac{I \omega^{2}}{4}\)
3 \(\dfrac{I \omega^{2}}{6}\)
4 \(\dfrac{I \omega^{2}}{8}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365677 Assertion :
When a diver dives, the rotational kinetic energy of diver increases, during several somersaults.
Reason :
When diver pulls his limbs, the moment of inertia decreases and on account of conservation of angular momentum his angular speed increases.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365678 If most of the population on earth is migrated to poles of earth then the time duration of a day

1 Increases
2 Decreases
3 Remains same
4 First increases then decreases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365679 A merry-go-round, made of a ring-like platform of radius \(R\) and mass \(M\), is revolving with angular speed \(\omega\). A person of mass \(M\) is standing on its rim. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round).The speed of the round afterward is

1 \(\omega\)
2 \(2 \omega\)
3 \(\dfrac{\omega}{2}\)
4 0
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365676 The moment of inertia of a ring about an axis passing through the 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 centres coincide. If both the rings are rotating about the same axis, then loss in kinetic energy is

1 \(\dfrac{I \omega^{2}}{2}\)
2 \(\dfrac{I \omega^{2}}{4}\)
3 \(\dfrac{I \omega^{2}}{6}\)
4 \(\dfrac{I \omega^{2}}{8}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365677 Assertion :
When a diver dives, the rotational kinetic energy of diver increases, during several somersaults.
Reason :
When diver pulls his limbs, the moment of inertia decreases and on account of conservation of angular momentum his angular speed increases.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365678 If most of the population on earth is migrated to poles of earth then the time duration of a day

1 Increases
2 Decreases
3 Remains same
4 First increases then decreases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365679 A merry-go-round, made of a ring-like platform of radius \(R\) and mass \(M\), is revolving with angular speed \(\omega\). A person of mass \(M\) is standing on its rim. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round).The speed of the round afterward is

1 \(\omega\)
2 \(2 \omega\)
3 \(\dfrac{\omega}{2}\)
4 0
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365676 The moment of inertia of a ring about an axis passing through the 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 centres coincide. If both the rings are rotating about the same axis, then loss in kinetic energy is

1 \(\dfrac{I \omega^{2}}{2}\)
2 \(\dfrac{I \omega^{2}}{4}\)
3 \(\dfrac{I \omega^{2}}{6}\)
4 \(\dfrac{I \omega^{2}}{8}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365677 Assertion :
When a diver dives, the rotational kinetic energy of diver increases, during several somersaults.
Reason :
When diver pulls his limbs, the moment of inertia decreases and on account of conservation of angular momentum his angular speed increases.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365678 If most of the population on earth is migrated to poles of earth then the time duration of a day

1 Increases
2 Decreases
3 Remains same
4 First increases then decreases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365679 A merry-go-round, made of a ring-like platform of radius \(R\) and mass \(M\), is revolving with angular speed \(\omega\). A person of mass \(M\) is standing on its rim. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round).The speed of the round afterward is

1 \(\omega\)
2 \(2 \omega\)
3 \(\dfrac{\omega}{2}\)
4 0
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365676 The moment of inertia of a ring about an axis passing through the 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 centres coincide. If both the rings are rotating about the same axis, then loss in kinetic energy is

1 \(\dfrac{I \omega^{2}}{2}\)
2 \(\dfrac{I \omega^{2}}{4}\)
3 \(\dfrac{I \omega^{2}}{6}\)
4 \(\dfrac{I \omega^{2}}{8}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365677 Assertion :
When a diver dives, the rotational kinetic energy of diver increases, during several somersaults.
Reason :
When diver pulls his limbs, the moment of inertia decreases and on account of conservation of angular momentum his angular speed increases.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365678 If most of the population on earth is migrated to poles of earth then the time duration of a day

1 Increases
2 Decreases
3 Remains same
4 First increases then decreases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365679 A merry-go-round, made of a ring-like platform of radius \(R\) and mass \(M\), is revolving with angular speed \(\omega\). A person of mass \(M\) is standing on its rim. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round).The speed of the round afterward is

1 \(\omega\)
2 \(2 \omega\)
3 \(\dfrac{\omega}{2}\)
4 0