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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

`omega_1 : omega_2`

D

`omega_2 : omega_1`

Text Solution

Verified by Experts

The correct Answer is:
A

L=`lomega`=constant
`MK^2 omega` = constant
`K_1/K_2 = sqrt(omega_2/omega_1)`
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