Torque and Angular Momentum
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366161 Two particles \(A\) and\(B\) are moving as shown in the figure. Their total angular momentum about the point \(O\) is
supporting img

1 \(5\,kg\,{m^2}/s\)
2 \(4\,kg\,{m^2}/s\)
3 \(10\,kg\,{m^2}/s\)
4 \(17.8\,{\mkern 1mu} kg{\mkern 1mu} {m^2}/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366162 Angular momentum of a body is defined as the product of

1 Linear velocity and angular velocity
2 Moment of inertia and angular velocity
3 Mass and angular velocity
4 Centripetal force and radius
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366163 Assertion :
The angular velocity of a planets orbiting around the sun increases when they are nearest to the sun.
Reason :
The angular momentum of body is proportional to angular velocity when distance of the planet from sun remains constant.

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

366164 A projectile of mass \(m\) is launched with an initial velocity \(u\) making an angle \(\theta\) with the horizontal as shown in the figure. The projectile moves in the gravitational field of the Earth. The angular momentum of the projectile about the origin when it is at the highest point of its trajectory is
supporting img

1 \(\dfrac{2 m u^{3} \sin ^{2} \theta \cos \theta}{5 g} \hat{k}\)
2 \(\dfrac{-m u^{3} \sin ^{2} \theta \cos \theta}{2 g} \hat{k}\)
3 \(-\left(m u^{3} \sin \theta \cos \theta / g\right) \hat{k}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366165 A particle is moving along the straight line \(\mathrm{ABC}\) with constant velocity. The angular momentum of the particle with respect to origin \(\mathrm{O}\). For the three positions are \(L_{A}, L_{B}\) and \(L_{C}\). Then
supporting img

1 \(L_{C}>L_{B}>L_{A}\)
2 \(L_{A}>L_{B}>L_{C}\)
3 \(L_{A}=L_{B}=L_{C}\)
4 Information is not sufficient.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366161 Two particles \(A\) and\(B\) are moving as shown in the figure. Their total angular momentum about the point \(O\) is
supporting img

1 \(5\,kg\,{m^2}/s\)
2 \(4\,kg\,{m^2}/s\)
3 \(10\,kg\,{m^2}/s\)
4 \(17.8\,{\mkern 1mu} kg{\mkern 1mu} {m^2}/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366162 Angular momentum of a body is defined as the product of

1 Linear velocity and angular velocity
2 Moment of inertia and angular velocity
3 Mass and angular velocity
4 Centripetal force and radius
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366163 Assertion :
The angular velocity of a planets orbiting around the sun increases when they are nearest to the sun.
Reason :
The angular momentum of body is proportional to angular velocity when distance of the planet from sun remains constant.

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

366164 A projectile of mass \(m\) is launched with an initial velocity \(u\) making an angle \(\theta\) with the horizontal as shown in the figure. The projectile moves in the gravitational field of the Earth. The angular momentum of the projectile about the origin when it is at the highest point of its trajectory is
supporting img

1 \(\dfrac{2 m u^{3} \sin ^{2} \theta \cos \theta}{5 g} \hat{k}\)
2 \(\dfrac{-m u^{3} \sin ^{2} \theta \cos \theta}{2 g} \hat{k}\)
3 \(-\left(m u^{3} \sin \theta \cos \theta / g\right) \hat{k}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366165 A particle is moving along the straight line \(\mathrm{ABC}\) with constant velocity. The angular momentum of the particle with respect to origin \(\mathrm{O}\). For the three positions are \(L_{A}, L_{B}\) and \(L_{C}\). Then
supporting img

1 \(L_{C}>L_{B}>L_{A}\)
2 \(L_{A}>L_{B}>L_{C}\)
3 \(L_{A}=L_{B}=L_{C}\)
4 Information is not sufficient.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366161 Two particles \(A\) and\(B\) are moving as shown in the figure. Their total angular momentum about the point \(O\) is
supporting img

1 \(5\,kg\,{m^2}/s\)
2 \(4\,kg\,{m^2}/s\)
3 \(10\,kg\,{m^2}/s\)
4 \(17.8\,{\mkern 1mu} kg{\mkern 1mu} {m^2}/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366162 Angular momentum of a body is defined as the product of

1 Linear velocity and angular velocity
2 Moment of inertia and angular velocity
3 Mass and angular velocity
4 Centripetal force and radius
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366163 Assertion :
The angular velocity of a planets orbiting around the sun increases when they are nearest to the sun.
Reason :
The angular momentum of body is proportional to angular velocity when distance of the planet from sun remains constant.

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

366164 A projectile of mass \(m\) is launched with an initial velocity \(u\) making an angle \(\theta\) with the horizontal as shown in the figure. The projectile moves in the gravitational field of the Earth. The angular momentum of the projectile about the origin when it is at the highest point of its trajectory is
supporting img

1 \(\dfrac{2 m u^{3} \sin ^{2} \theta \cos \theta}{5 g} \hat{k}\)
2 \(\dfrac{-m u^{3} \sin ^{2} \theta \cos \theta}{2 g} \hat{k}\)
3 \(-\left(m u^{3} \sin \theta \cos \theta / g\right) \hat{k}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366165 A particle is moving along the straight line \(\mathrm{ABC}\) with constant velocity. The angular momentum of the particle with respect to origin \(\mathrm{O}\). For the three positions are \(L_{A}, L_{B}\) and \(L_{C}\). Then
supporting img

1 \(L_{C}>L_{B}>L_{A}\)
2 \(L_{A}>L_{B}>L_{C}\)
3 \(L_{A}=L_{B}=L_{C}\)
4 Information is not sufficient.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366161 Two particles \(A\) and\(B\) are moving as shown in the figure. Their total angular momentum about the point \(O\) is
supporting img

1 \(5\,kg\,{m^2}/s\)
2 \(4\,kg\,{m^2}/s\)
3 \(10\,kg\,{m^2}/s\)
4 \(17.8\,{\mkern 1mu} kg{\mkern 1mu} {m^2}/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366162 Angular momentum of a body is defined as the product of

1 Linear velocity and angular velocity
2 Moment of inertia and angular velocity
3 Mass and angular velocity
4 Centripetal force and radius
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366163 Assertion :
The angular velocity of a planets orbiting around the sun increases when they are nearest to the sun.
Reason :
The angular momentum of body is proportional to angular velocity when distance of the planet from sun remains constant.

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

366164 A projectile of mass \(m\) is launched with an initial velocity \(u\) making an angle \(\theta\) with the horizontal as shown in the figure. The projectile moves in the gravitational field of the Earth. The angular momentum of the projectile about the origin when it is at the highest point of its trajectory is
supporting img

1 \(\dfrac{2 m u^{3} \sin ^{2} \theta \cos \theta}{5 g} \hat{k}\)
2 \(\dfrac{-m u^{3} \sin ^{2} \theta \cos \theta}{2 g} \hat{k}\)
3 \(-\left(m u^{3} \sin \theta \cos \theta / g\right) \hat{k}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366165 A particle is moving along the straight line \(\mathrm{ABC}\) with constant velocity. The angular momentum of the particle with respect to origin \(\mathrm{O}\). For the three positions are \(L_{A}, L_{B}\) and \(L_{C}\). Then
supporting img

1 \(L_{C}>L_{B}>L_{A}\)
2 \(L_{A}>L_{B}>L_{C}\)
3 \(L_{A}=L_{B}=L_{C}\)
4 Information is not sufficient.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366161 Two particles \(A\) and\(B\) are moving as shown in the figure. Their total angular momentum about the point \(O\) is
supporting img

1 \(5\,kg\,{m^2}/s\)
2 \(4\,kg\,{m^2}/s\)
3 \(10\,kg\,{m^2}/s\)
4 \(17.8\,{\mkern 1mu} kg{\mkern 1mu} {m^2}/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366162 Angular momentum of a body is defined as the product of

1 Linear velocity and angular velocity
2 Moment of inertia and angular velocity
3 Mass and angular velocity
4 Centripetal force and radius
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366163 Assertion :
The angular velocity of a planets orbiting around the sun increases when they are nearest to the sun.
Reason :
The angular momentum of body is proportional to angular velocity when distance of the planet from sun remains constant.

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

366164 A projectile of mass \(m\) is launched with an initial velocity \(u\) making an angle \(\theta\) with the horizontal as shown in the figure. The projectile moves in the gravitational field of the Earth. The angular momentum of the projectile about the origin when it is at the highest point of its trajectory is
supporting img

1 \(\dfrac{2 m u^{3} \sin ^{2} \theta \cos \theta}{5 g} \hat{k}\)
2 \(\dfrac{-m u^{3} \sin ^{2} \theta \cos \theta}{2 g} \hat{k}\)
3 \(-\left(m u^{3} \sin \theta \cos \theta / g\right) \hat{k}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366165 A particle is moving along the straight line \(\mathrm{ABC}\) with constant velocity. The angular momentum of the particle with respect to origin \(\mathrm{O}\). For the three positions are \(L_{A}, L_{B}\) and \(L_{C}\). Then
supporting img

1 \(L_{C}>L_{B}>L_{A}\)
2 \(L_{A}>L_{B}>L_{C}\)
3 \(L_{A}=L_{B}=L_{C}\)
4 Information is not sufficient.