Moment of Inertia
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365883 Assertion :
The moment of inertia of a rigid body depends only on the mass of the body, its shape and size.
Reason :
Moment of inertia \(I=M R^{2}\) where \(M\) is the mass of the body and \(R\) is the radius vector.

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

365884 A brass disc is rotating about its axis. If temperature of disc is increased then its

1 Radius of gyration increases, but moment of inertia remains the same
2 Moment of inertia increases but radius of gyration remains the same
3 Radius of gyration, moment of inertia both remain the same
4 Radius of gyration, moment of inertia both increases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365885 What is the moment of inertia of earth about its diameter, taking it to be a sphere of radius \(6400\;km\) and mass \(6 \times {10^{24}}\;kg\)?

1 \(11.6 \times {10^{26}}\;kg\;{m^2}\)
2 \(6 \times {10^{34}}\;kg\;{m^2}\)
3 \(9.83 \times {10^{37}}\;kg\;{m^2}\)
4 \({\rm{None}}\,\,\,{\rm{of}}\,\,\,{\rm{these}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365886 If radius of the solid sphere is doubled by keeping its mass constant, the ratio of their moment of inertia about any of its diameter is

1 \(1: 8\)
2 \(2: 5\)
3 \(2: 3\)
4 \(1: 4\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365883 Assertion :
The moment of inertia of a rigid body depends only on the mass of the body, its shape and size.
Reason :
Moment of inertia \(I=M R^{2}\) where \(M\) is the mass of the body and \(R\) is the radius vector.

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

365884 A brass disc is rotating about its axis. If temperature of disc is increased then its

1 Radius of gyration increases, but moment of inertia remains the same
2 Moment of inertia increases but radius of gyration remains the same
3 Radius of gyration, moment of inertia both remain the same
4 Radius of gyration, moment of inertia both increases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365885 What is the moment of inertia of earth about its diameter, taking it to be a sphere of radius \(6400\;km\) and mass \(6 \times {10^{24}}\;kg\)?

1 \(11.6 \times {10^{26}}\;kg\;{m^2}\)
2 \(6 \times {10^{34}}\;kg\;{m^2}\)
3 \(9.83 \times {10^{37}}\;kg\;{m^2}\)
4 \({\rm{None}}\,\,\,{\rm{of}}\,\,\,{\rm{these}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365886 If radius of the solid sphere is doubled by keeping its mass constant, the ratio of their moment of inertia about any of its diameter is

1 \(1: 8\)
2 \(2: 5\)
3 \(2: 3\)
4 \(1: 4\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365883 Assertion :
The moment of inertia of a rigid body depends only on the mass of the body, its shape and size.
Reason :
Moment of inertia \(I=M R^{2}\) where \(M\) is the mass of the body and \(R\) is the radius vector.

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

365884 A brass disc is rotating about its axis. If temperature of disc is increased then its

1 Radius of gyration increases, but moment of inertia remains the same
2 Moment of inertia increases but radius of gyration remains the same
3 Radius of gyration, moment of inertia both remain the same
4 Radius of gyration, moment of inertia both increases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365885 What is the moment of inertia of earth about its diameter, taking it to be a sphere of radius \(6400\;km\) and mass \(6 \times {10^{24}}\;kg\)?

1 \(11.6 \times {10^{26}}\;kg\;{m^2}\)
2 \(6 \times {10^{34}}\;kg\;{m^2}\)
3 \(9.83 \times {10^{37}}\;kg\;{m^2}\)
4 \({\rm{None}}\,\,\,{\rm{of}}\,\,\,{\rm{these}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365886 If radius of the solid sphere is doubled by keeping its mass constant, the ratio of their moment of inertia about any of its diameter is

1 \(1: 8\)
2 \(2: 5\)
3 \(2: 3\)
4 \(1: 4\)
MHTCET - 2019
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365883 Assertion :
The moment of inertia of a rigid body depends only on the mass of the body, its shape and size.
Reason :
Moment of inertia \(I=M R^{2}\) where \(M\) is the mass of the body and \(R\) is the radius vector.

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

365884 A brass disc is rotating about its axis. If temperature of disc is increased then its

1 Radius of gyration increases, but moment of inertia remains the same
2 Moment of inertia increases but radius of gyration remains the same
3 Radius of gyration, moment of inertia both remain the same
4 Radius of gyration, moment of inertia both increases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365885 What is the moment of inertia of earth about its diameter, taking it to be a sphere of radius \(6400\;km\) and mass \(6 \times {10^{24}}\;kg\)?

1 \(11.6 \times {10^{26}}\;kg\;{m^2}\)
2 \(6 \times {10^{34}}\;kg\;{m^2}\)
3 \(9.83 \times {10^{37}}\;kg\;{m^2}\)
4 \({\rm{None}}\,\,\,{\rm{of}}\,\,\,{\rm{these}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365886 If radius of the solid sphere is doubled by keeping its mass constant, the ratio of their moment of inertia about any of its diameter is

1 \(1: 8\)
2 \(2: 5\)
3 \(2: 3\)
4 \(1: 4\)
MHTCET - 2019
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