A smooth hemisphere of mass M is kept on a smooth surface. A block of mass `m ( = M//3)` is kept on the top of the hemisphere as shown in the figure. The hemisphere is displaced slightly ang both the hemisphere and the block starts moving. At an angle `theta` with the vertical ( subtended by the block at the centre of the hemisphere ) , the relation between the velocity of the block ( V) and the velocity of the hemishere ( `v_(0)` ) is (V is the velocity of the block w.r.t. the hemisphere at that instant . )

Options

A. `v_(0) = ( V)/( 4) cos theta`
B. `v_(0) = V cos theta`
C. `v_(0) = ( V)/( 2) sin theta`
D. `v_(0) = ( V)/( 2) cos theta`

Answer

A