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Centripetal Acceleration

A diver is di...

Question

A diver is diving into water without external torque. If his angular velocity is doubled, the ratio of his initial and final moments of inertia is :

A

1 : 2

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B

1 : 4

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C

2 : 1

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D

4 : 1

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Solution

The correct option is C $2 : 1$
As there is no external torque, so $I ω = c o n s t a n t$
Thus, $I_{1} ω_{1} = I_{2} ω_{2}$
Now, as $ω_{2} = 2 ω_{1} ⟹ \frac{I_{1}}{I_{2}} = \frac{2}{1}$

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