There object, `A` : (a solid sphere), `B` : (a thin circular disk) and `C` : (a circular ring), each have the same mass `M` and radius `R`. They all spin with the same angular speed `omega` about their own symmetry axes. The amount of work `(W)` required ot bring them to rest, would satisfy the relation

Options

A. `W_(C) gt W_(B) gt W_(A)`
B. `W_(A) gt W_(B) gt W_(C)`
C. `W_(B) gt W_(A) gt W_(C)`
D. `W_(A) gt W_(C) gt W_(B)`

Answer

A

Explanation

From work energy theorem Work done `(W) = Delta k = (1)/(2) I omega^(2)`
Moment of inertia of solid sphere `(I_(A))= (2)/(5) MR^(2)= 0.4 MR^(2)`
Moment of inertia of disc `(I_(B))= (MR^(2))/(2)= 0.5 MR^(2)`
Moment of inertia of ring `(I_(C))= MR^(2))`
Hence `H_(C) gt W_(B) gt W_(A)`