A ring of mass `m` and radius `r` is projected with velocity `v_(0)` while spinning with angular velocity `(v_(0))/(4 r)` at the bottom of an inclined plane of angle of inclination `theta - 60^@` as shown in fig. The ring begins to roll without slipping after colliding with the inclined plane. Before collision sence of rotation is depicyed in the fig.
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Velocity of center of mass of the ring just after the collision is :

Options

A. `v_(0)`
B. `(v_(0))/(2)`
C. `(v_(0))/(4)`
D. `(v_(0))/(8)`

Answer

D