A ball of mass m moving horizontally at a speed v collides with the bob of a simple pendulum at rest. The mass of the bob is also m. If the collision is perfectly inelastic and both balls sticks, the height to which the two balls rise after the collision will be given by:

Options

A. `(v^(2))/(8g)`
B. `(v^(2))/(2g)`
C. `(2v^(2))/(g)`
D. `(v^(2))/(g)`

Answer

A