A sphere of radius `R` and mass `M` collides elastically with a cubical block of mass `M` and side `2R`. The entire system is on a smooth horizontal ground. Given that the sphere was rolling without slipping with an angular velocity `omega` at the time of collision. The velocities of the sphere and the block after the collision are

Options

A. `omega_(sphere)=0`, `v_(sphere)=0`, `v_(block)=v`
B. `omega_(sphere)=omega`, `v_(sphere)=0`, `v_(block)=v`
C. `omega_(sphere)=0`, `v_(sphere)=0`, `v_(block)=0`
D. `omega_(sphere)=(omega)/(2)`, `v_(sphere)=(v)/(2)`, `v_(block)=(v)/(2)`

Explanation

When the sphere collides with the block due to elastic collision, the translational kinetic energy of the sphere gas totally transferred to the block, but rotational kinetic energy of the sphere does not change.
Hence, `omega_(sphere)=omega`, `v_(sphere)=0`, `v_(block)=v`