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A ballet dancer is rotating at angular v...

A ballet dancer is rotating at angular velocity `omega` on smooth horizontal floor. The ballet dancer folds his body close to his axis of rotation by which his radius of gyration decreases by `1//4^(th)` of his initial radius of gyration, his final angular velocity is

A

`(3omega)/4`

B

`(9omega)/4`

C

`(9omega)/16`

D

`(16omega)/9`

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The correct Answer is:
D
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