If the radius of the Earth were to suddenly decrease,then:

  • A
    The angular momentum of the Earth would increase with respect to the Sun.
  • B
    The angular speed of the Earth would increase.
  • C
    The time period of the Earth would increase.
  • D
    The energy and angular momentum of the Earth would remain constant.

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The angular velocity of a body changes from $\omega_1$ to $\omega_2$ without the application of any external torque,but this change occurs due to a change in its moment of inertia. The ratio of the radii of gyration in the two cases will be:

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The angular momentum of a system of particles is conserved:

Two discs of moment of inertia $I_1$ and $I_2$ and angular speeds $\omega_1$ and $\omega_2$ are rotating along collinear axes passing through their centers of mass and perpendicular to their planes. If the two discs are made to rotate together along the same axis,what will be the rotational kinetic energy of the system?

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