The moments of inertia of two rotating bodies A and B are `I_(A)` and `I_(B). (I_(A) gt I_(B))` and their angular momenta are equal. Which one has greater `K.E.` ?

Options

A. `K_(A)=K_(B)`
B. `K_(A)ne K_(B)`
C. `K_(A) lt K_(B)`
D. `K_(A)=2K_(B)`

Answer

C

Explanation

Kinetic energy ` E=(L^(2))/(2I)`
If angular momenta are equal , then ` E prop (1)/(I)`
Kinetic energy E=K ( given in problem )
If ` I_(A) gt I_(B) ` then `K_(A) lt K_(B)`