question_answer

The angular velocity of a body changes, from \[{{\omega }_{1}}\] to \[{{\omega }_{2}}\] without applying torque but by changing moment of inertia. The ratio of initial radius of gyration to the final radius of gyration is :

A) \[{{\omega }_{2}}:{{\omega }_{1}}\]      

B)                        \[\omega _{2}^{2}:\omega _{1}^{2}\]   

C)        \[\sqrt{{{\omega }_{2}}}:\sqrt{{{\omega }_{1}}}\]            

D)         \[\frac{1}{{{\omega }_{2}}}:\frac{1}{{{\omega }_{1}}}\]