A ball is kicked horizontally from the top $$C$$ of a hemispherical rock $$ACB$$ of radius $$R$$ on a horizontal ground, with a velocity $$v$$, so as not to hit the rock at any point during its flight. Choose the correct statement from the figure.

A

The ball will just strike at $$B$$

B

The ball will strike at $$D$$ where $$d=BD=(\sqrt2-1)R$$

C

The ball will strike at $$D$$ such that $$d=BD=(2-\sqrt2)R$$

D

The speed $$v$$ of the ball should always be greater than the critical speed $$v_0$$ where $$v_0=\sqrt{\frac{gR}{2}}$$