The moment of inertia of two freely rotating bodies A and B are `l_(A) and l_(B)` respectively. `l_(A) gt l_(B)` and their angular momenta are equal. If `K_(A) and K_(B)` are their kinetic energies,then

Options

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

Answer

C

Explanation

Kinetic energy `K=(L^(2))/(2l).`
If angular momenta are equal, then `K prop (1)/(l)`
If `l_(A) gt l_(B)` then `K_(A) lt K_(B)`.