A horizontal turn table in the form of a disc of radius `r` carries a gun at `G` and rotates with angular velocity `omega_(0)` about a vertical axis passing through the centre `O`. The increase in angular velocity of the system if the gun fires a bullet of mass `m` with a tangential velocity `v` with respect to the gun is (moment of inertia of gun `+` table about `O` is `I_(0)`

Options

A. `(mvr)/(l_(0)+mr^(2))`
B. `(2mvr)/(l_(0))`
C. `(v)/(2r)`
D. `(mvr)/(2l_(0))`

Answer

A