02. Torque, Angular Momentum
Rotational Motion

149965 A thin circular ring of mass \(m\) and radius \(R\) is rotating about its axis perpendicular to the plane of the ring with a constant angular velocity \(\omega\). Two point particles each of mass \(M\) are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity \(\omega / 2\). Then, the ratio \(\mathrm{m} / \mathrm{M}\) is

1 1
2 2
3 \(\frac{1}{2}\)
4 \(\sqrt{2}\)
5 \(\frac{1}{\sqrt{2}}\)
Rotational Motion

149966 A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

1 Rotational kinetic energy
2 Moment of inertia
3 Angular velocity
4 Angular momentum
Rotational Motion

149968 Angular momentum is

1 A scalar
2 A polar vector
3 A scalar as well as vector
4 An axial vector
SRM JEE-2018]
Rotational Motion

149969 Two particles of masses \(m_{1}\) and \(m_{2}\) have equal kinetic energies. The ratio of their momentum is:

1 \(m_{1}: m_{2}\)
2 \(\mathrm{m}_{2}: \mathrm{m}_{1}\)
3 \(\sqrt{\mathrm{m}_{1}}: \sqrt{\mathrm{m}_{2}}\)
4 \(\mathrm{m}_{1}^{2}: \mathrm{m}_{2}^{2}\)
Rotational Motion

149971 Assertion: Torque on a body can be zero even if there is a net force on it.
Reason: Torque and force on a body are always perpendicular.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Rotational Motion

149965 A thin circular ring of mass \(m\) and radius \(R\) is rotating about its axis perpendicular to the plane of the ring with a constant angular velocity \(\omega\). Two point particles each of mass \(M\) are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity \(\omega / 2\). Then, the ratio \(\mathrm{m} / \mathrm{M}\) is

1 1
2 2
3 \(\frac{1}{2}\)
4 \(\sqrt{2}\)
5 \(\frac{1}{\sqrt{2}}\)
Rotational Motion

149966 A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

1 Rotational kinetic energy
2 Moment of inertia
3 Angular velocity
4 Angular momentum
Rotational Motion

149968 Angular momentum is

1 A scalar
2 A polar vector
3 A scalar as well as vector
4 An axial vector
SRM JEE-2018]
Rotational Motion

149969 Two particles of masses \(m_{1}\) and \(m_{2}\) have equal kinetic energies. The ratio of their momentum is:

1 \(m_{1}: m_{2}\)
2 \(\mathrm{m}_{2}: \mathrm{m}_{1}\)
3 \(\sqrt{\mathrm{m}_{1}}: \sqrt{\mathrm{m}_{2}}\)
4 \(\mathrm{m}_{1}^{2}: \mathrm{m}_{2}^{2}\)
Rotational Motion

149971 Assertion: Torque on a body can be zero even if there is a net force on it.
Reason: Torque and force on a body are always perpendicular.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Rotational Motion

149965 A thin circular ring of mass \(m\) and radius \(R\) is rotating about its axis perpendicular to the plane of the ring with a constant angular velocity \(\omega\). Two point particles each of mass \(M\) are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity \(\omega / 2\). Then, the ratio \(\mathrm{m} / \mathrm{M}\) is

1 1
2 2
3 \(\frac{1}{2}\)
4 \(\sqrt{2}\)
5 \(\frac{1}{\sqrt{2}}\)
Rotational Motion

149966 A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

1 Rotational kinetic energy
2 Moment of inertia
3 Angular velocity
4 Angular momentum
Rotational Motion

149968 Angular momentum is

1 A scalar
2 A polar vector
3 A scalar as well as vector
4 An axial vector
SRM JEE-2018]
Rotational Motion

149969 Two particles of masses \(m_{1}\) and \(m_{2}\) have equal kinetic energies. The ratio of their momentum is:

1 \(m_{1}: m_{2}\)
2 \(\mathrm{m}_{2}: \mathrm{m}_{1}\)
3 \(\sqrt{\mathrm{m}_{1}}: \sqrt{\mathrm{m}_{2}}\)
4 \(\mathrm{m}_{1}^{2}: \mathrm{m}_{2}^{2}\)
Rotational Motion

149971 Assertion: Torque on a body can be zero even if there is a net force on it.
Reason: Torque and force on a body are always perpendicular.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Rotational Motion

149965 A thin circular ring of mass \(m\) and radius \(R\) is rotating about its axis perpendicular to the plane of the ring with a constant angular velocity \(\omega\). Two point particles each of mass \(M\) are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity \(\omega / 2\). Then, the ratio \(\mathrm{m} / \mathrm{M}\) is

1 1
2 2
3 \(\frac{1}{2}\)
4 \(\sqrt{2}\)
5 \(\frac{1}{\sqrt{2}}\)
Rotational Motion

149966 A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

1 Rotational kinetic energy
2 Moment of inertia
3 Angular velocity
4 Angular momentum
Rotational Motion

149968 Angular momentum is

1 A scalar
2 A polar vector
3 A scalar as well as vector
4 An axial vector
SRM JEE-2018]
Rotational Motion

149969 Two particles of masses \(m_{1}\) and \(m_{2}\) have equal kinetic energies. The ratio of their momentum is:

1 \(m_{1}: m_{2}\)
2 \(\mathrm{m}_{2}: \mathrm{m}_{1}\)
3 \(\sqrt{\mathrm{m}_{1}}: \sqrt{\mathrm{m}_{2}}\)
4 \(\mathrm{m}_{1}^{2}: \mathrm{m}_{2}^{2}\)
Rotational Motion

149971 Assertion: Torque on a body can be zero even if there is a net force on it.
Reason: Torque and force on a body are always perpendicular.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Rotational Motion

149965 A thin circular ring of mass \(m\) and radius \(R\) is rotating about its axis perpendicular to the plane of the ring with a constant angular velocity \(\omega\). Two point particles each of mass \(M\) are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity \(\omega / 2\). Then, the ratio \(\mathrm{m} / \mathrm{M}\) is

1 1
2 2
3 \(\frac{1}{2}\)
4 \(\sqrt{2}\)
5 \(\frac{1}{\sqrt{2}}\)
Rotational Motion

149966 A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

1 Rotational kinetic energy
2 Moment of inertia
3 Angular velocity
4 Angular momentum
Rotational Motion

149968 Angular momentum is

1 A scalar
2 A polar vector
3 A scalar as well as vector
4 An axial vector
SRM JEE-2018]
Rotational Motion

149969 Two particles of masses \(m_{1}\) and \(m_{2}\) have equal kinetic energies. The ratio of their momentum is:

1 \(m_{1}: m_{2}\)
2 \(\mathrm{m}_{2}: \mathrm{m}_{1}\)
3 \(\sqrt{\mathrm{m}_{1}}: \sqrt{\mathrm{m}_{2}}\)
4 \(\mathrm{m}_{1}^{2}: \mathrm{m}_{2}^{2}\)
Rotational Motion

149971 Assertion: Torque on a body can be zero even if there is a net force on it.
Reason: Torque and force on a body are always perpendicular.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.