A uniform rod of length `l` and mass `2m` rests on a smooth horizontal table. A point of mass `m` moving horizontally at right angle to the rod with velocity `v` collides with one end of the rod and sticks to it, then:

Options

A. angular velocity of the system after collision is `v/l`
B. angular velocity of the system after collision is `v/(2l)`
C. the loss in kinetic enerlgy of the system as a whole as a result of the collision is `(mv^(2))/6`
D. the loss in kinetic energy of the system as a whole as a result of the collision is `(7mv^(2))/24`

Answer

A, C