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.

Options

A. `1 : 2`
B. `sqrt2 : 1`
C. `2 : 1`
D. `1 : sqrt2`

Explanation

`K_(R)=(L^(2))/(2I)`
`(L_(1)^(2))/(2I)=(L_(2)^(2))/(2(2I))`
`(L_(1))/(L_(2))=(1)/(sqrt2)`