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 -
.

Options

A. `1:1`
B. `2:3`
C. `3:2`
D. `5:2`

Answer

C

Explanation

After collision
`K_(A)=(1)/(2)((2)/(3)mR^(2))((v_(0))/(R))^(2)=(1)/(3)mv_(0)^(2),K_(B)=(1)/(2)mv_(0)^(2)`
`rArr(K_(B))/(K_(A))=((1)/(2)mv_(0)^(2))/((1)/(3)mv_(0)^(2))=(3)/(2)`