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The momentum of inertia of two rotating bodies A and B are $I_{A} and I_{B} (I_{A} > I_{B})$ . If their angular momenta are equal, then

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Kinetic energy of A < Kinetic energy of B

Kinetic energy of the two bodies cannot be compared with the given data

Kinetic energy of A = Kinetic energy ofB

Kinetic energy of A > Kinetic energy of B

answer is C.

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Detailed Solution

$K E = \frac{L^{2}}{2 I}$

As L is same for both,the more I,the less KE

As $I_{A} > I_{B} (Given)$

${(K . E .)}_{A} < {(K . E .)}_{B}$

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