A uniform solid sphere of radius $$R$$ rolls without slipping on a rough horizontal surface with a forward velocity $$v$$ of its center. On its way, it suddenly encounters a small step of height $$0.2R$$ as shown. The angular velocity of the sphere just after the impact is given that the sphere does not bounce back, rather it goes ahead up the step.

A

$$\frac{v}{7R}$$

B

$$\frac{3v}{7R}$$

C

$$\frac{6v}{7R}$$

D

$$\frac{v}{R}$$