The angular speed of a body changes from omega_(1)to omega_2without applying a torque, but due to changes in moment of inertia. The ratio of radii of gyration in the two cases is

The angular speed of a body changes from omega_(1)to omega_2without ap

1.	The angular speed of a body changes from omega_(1)to omega_2without applying a torque, but due to changes in moment of inertia. The ratio of radii of gyration in the two cases is
Answer» `omega_(2) : omega_1` `sqrt(omega_(1)) : sqrt(omega_2)` `sqrt(omega_(2)) : sqrt(omega_1)` `omega_(1) : omega_2` SOLUTION :As no torque is applied , `THEREFORE I_(1) omega_(1) = I_(2) omega_(2) or (M k_(1)^(2)) omega_(1) = (Mk_(2)^(2)) omega_(2)` `therefore (k_(1))/(k_(2)) = sqrt((omega_(2))/(omega_(1)))`