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 :-

Options

A. `omega_(2):omega_(1)`
B. `omega_(2)^(1//2):omega_(1)^(1//2)`
C. `omega_(2)^(2):omega_(1)^(2)`
D. `(1)/(omega_(2)):(1)/(omega_(1))`

Answer

B

Explanation

`I_(1)omega_(1) = I_(2)omega_(2)`.