A uniform solid sphere of radius $r$ is rolling on a smooth horizontal surface with velocity $V$ and angular velocity $\omega$ (where $V=\omega r)$. The sphere collides with a sharp edge on the wall as shown in the figure. The coefficient of friction between the sphere and the edge $\mu =1/5$. Just after the collision the angular velocity of the sphere becomes equal to zero. The linear velocity of the sphere just after the collision is equal to :

1. $V$
2. $\frac{V}{5}$
3. $\frac{3V}{5}$
4. $\frac{V}{6}$