The angular speed of a body changes from ω1 to ω2 without applying a torque but due to change in its moment of inertia. The ration of radii of gyration in the two cases is

Q: The angular speed of a body changes from ω1 to ω2 without applying a torque but due to change in its moment of inertia. The ration of radii of gyration in the two cases is

(a)  $\sqrt{\omega_2} : \sqrt{\omega_1}$

(b) $\sqrt{\omega_1} : \sqrt{\omega_2}$

(c)  ω1 : ω2

(d) ω2 : ω1

Ans: (a)