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The angular speed of a body changes from...

The angular speed of a body changes from `omega_1` to `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 :

A

`sqrt omega_2 :sqrt omega_1`

B

`sqrt omega_1 :sqrt omega_2`

C

`sqrt omega_2^2 :sqrt omega_1^2`

D

`sqrt omega_2^3 :sqrt omega_1^3`

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