Two rotating bodies `A` and `B` of masses `m` and `2m` with moments of inertia `I_(A)` and `I_(B) (I_(B) gt I_(A))` have equal kinetic energy of rotation. If `L_(A)` and `L_(B)` be their angular momenta respectively, then

Options

A. `L _(B) gt L _(A)`
B. `L _(A) gt L _(B) `
C. `L _(A) = (L _(B))/(2)`
D. `L _(A) = 2 L _(B)`

Explanation

`K _(A) = K _(a ) implies (L _(A) ^(2))/(2I _(A))= (I _(B) ^(2))/( 2 I _(B))`
As `I _(B) gt I _(A) So, L _(A) ^(2) lt L _(B) ^(2) impliesL _(A) lt L _(B) implies L _(B) gt L _(A)`