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

Answer

D

Explanation

Work = Loss in `K.E. = (1)/(2) I omega^(2)`
`I_(A) = (2)/(5) MR^(2) = 0.4 MR^(2)`
`I_(B) = (1)/(2) MR^(2) = 0.5 MR^(2)`
`I_(C ) = MR^(2)`
`I_(C ) gt I_(B) gt I_(A)`
`W_(C ) gt W_(B) gt W_(A)`