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Two bodies have their moments of inertia...

Two bodies have their moments of inertia `I` and `2 I` respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio.

A

`1:2`

B

`sqrt(2):1`

C

`2:1`

D

`1:sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Rotational K.E. `=1/2 Iw^(2)`
`1/2I_(1)omega_(1)^(2) =1/2I_(2)omega_(2)^(2) rArr omega_(2) = omega_(1)/sqrt(2)`
`L_(1)/L_(2) =1/sqrt(2)`
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