Moment of Inertia
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365866 The moment of inertia of a circular disc of mass \(M\) and radius \(R\) about an axis passing through the centre of mass is \(I_{0}\). The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is

1 \(\dfrac{I_{0}}{8}\)
2 \(\dfrac{I_{0}}{4}\)
3 \(8 I_{0}\)
4 \(2 I_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365867 A boiled egg and a raw egg of same mass and size are made to rotate about their own axis. If \(I_{1}\) and \(I_{2}\) are moments of inertia of boiled egg and raw egg, then

1 \(I_{1}=I_{2}\)
2 \(I_{1}>I_{2}\)
3 \(I_{1} < I_{2}\)
4 \(I_{1}=\sqrt{2} I_{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365868 Assertion :
Radius of gyration of body is a constant quantity.
Reason :
The radius of gyration of a body about an axis of rotation may be defined as the root mean square distance of the particle from the axis of rotation.

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

365869 The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \({2400 {~g} {~cm}^{2}}\). The length of the \(400\,g\) rod is nearly

1 \(8.5\,cm\)
2 \(17.5\,cm\)
3 \(20.7\,cm\)
4 \(72.0\,cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365866 The moment of inertia of a circular disc of mass \(M\) and radius \(R\) about an axis passing through the centre of mass is \(I_{0}\). The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is

1 \(\dfrac{I_{0}}{8}\)
2 \(\dfrac{I_{0}}{4}\)
3 \(8 I_{0}\)
4 \(2 I_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365867 A boiled egg and a raw egg of same mass and size are made to rotate about their own axis. If \(I_{1}\) and \(I_{2}\) are moments of inertia of boiled egg and raw egg, then

1 \(I_{1}=I_{2}\)
2 \(I_{1}>I_{2}\)
3 \(I_{1} < I_{2}\)
4 \(I_{1}=\sqrt{2} I_{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365868 Assertion :
Radius of gyration of body is a constant quantity.
Reason :
The radius of gyration of a body about an axis of rotation may be defined as the root mean square distance of the particle from the axis of rotation.

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

365869 The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \({2400 {~g} {~cm}^{2}}\). The length of the \(400\,g\) rod is nearly

1 \(8.5\,cm\)
2 \(17.5\,cm\)
3 \(20.7\,cm\)
4 \(72.0\,cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365866 The moment of inertia of a circular disc of mass \(M\) and radius \(R\) about an axis passing through the centre of mass is \(I_{0}\). The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is

1 \(\dfrac{I_{0}}{8}\)
2 \(\dfrac{I_{0}}{4}\)
3 \(8 I_{0}\)
4 \(2 I_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365867 A boiled egg and a raw egg of same mass and size are made to rotate about their own axis. If \(I_{1}\) and \(I_{2}\) are moments of inertia of boiled egg and raw egg, then

1 \(I_{1}=I_{2}\)
2 \(I_{1}>I_{2}\)
3 \(I_{1} < I_{2}\)
4 \(I_{1}=\sqrt{2} I_{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365868 Assertion :
Radius of gyration of body is a constant quantity.
Reason :
The radius of gyration of a body about an axis of rotation may be defined as the root mean square distance of the particle from the axis of rotation.

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

365869 The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \({2400 {~g} {~cm}^{2}}\). The length of the \(400\,g\) rod is nearly

1 \(8.5\,cm\)
2 \(17.5\,cm\)
3 \(20.7\,cm\)
4 \(72.0\,cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365866 The moment of inertia of a circular disc of mass \(M\) and radius \(R\) about an axis passing through the centre of mass is \(I_{0}\). The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is

1 \(\dfrac{I_{0}}{8}\)
2 \(\dfrac{I_{0}}{4}\)
3 \(8 I_{0}\)
4 \(2 I_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365867 A boiled egg and a raw egg of same mass and size are made to rotate about their own axis. If \(I_{1}\) and \(I_{2}\) are moments of inertia of boiled egg and raw egg, then

1 \(I_{1}=I_{2}\)
2 \(I_{1}>I_{2}\)
3 \(I_{1} < I_{2}\)
4 \(I_{1}=\sqrt{2} I_{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365868 Assertion :
Radius of gyration of body is a constant quantity.
Reason :
The radius of gyration of a body about an axis of rotation may be defined as the root mean square distance of the particle from the axis of rotation.

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

365869 The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \({2400 {~g} {~cm}^{2}}\). The length of the \(400\,g\) rod is nearly

1 \(8.5\,cm\)
2 \(17.5\,cm\)
3 \(20.7\,cm\)
4 \(72.0\,cm\)