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A hollow smooth uniform A of mass 'm' ro...

A hollow smooth uniform `A` of mass 'm' rolls without sliding on a smooth horizontal surface collides head to elastically with another stationary smooth solid sphere `B` of the same mass `m` and same radius. The ratio of kinetic energy of 'B' to that of 'A' just after the collision is -
.

A

`1 : 1`

B

`2 : 3`

C

`3 : 2`

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
Due to collision only transaltional `K.E` of `A` will transfer to `B`.
`(K.E._(B))/(K.E._(A)) = ((1)/(2) mv^(2))/((1)/(2) I omega^(2)) = (mv^(2))/((2)/(3) mR^(2) xx (v^(2))/(R^(2))) rArr (K.E._(B))/(K.E._(A)) = (3)/(2)`.
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