A solid cube of wood of side 2a and mass M is resting on a horizontal surface as shown in the figure. The cube is free to rotate about a fixed axis AB. A bullet of mass m `(ltltM)` and speed v is shot horizontally at the face opposite to ABCD at a height 4a/3 from the surface to impart the cube an angular speed `omega`. It strike the face and embeds in the cube. Then `omega_(c)` is close to (note : the moment of inertia of the cube about an axis perpendicular to the face and passing through the center of mass is `2Ma^(2)//3)`

Options

A. Mv/ma
B. Mv/2ma
C. mv/Ma
D. mv/2Ma

Answer

D