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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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The angular speed of a body changes from ω1\omega_1 to ω2\omega_2 without applying a torque but due to change in its moment of inertia. The ratio of radii of gyration in the two cases is
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Correct option: A
ω2:ω1\sqrt{\omega_2}: \sqrt{\omega_1}
Option A (ω2:ω1\sqrt{\omega_2}: \sqrt{\omega_1}) is correct because angular momentum is conserved, and the radius of gyration is inversely proportional to the square root of the angular speed.

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