A and C are the correct answer. Pls explain how!

​Q3. A uniform rod of length $\mathcal{l}$ 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:

     (A) angular velocity of the system after collision is v/$\mathcal{l}$

     (B) angular velocity of the system after collision is v/ 2$\mathcal{l}$

     (C) the loss in kinetic energy of the system as a whole as a result of the collision is mv² /6

     (D) the loss in Kinetic energy of the system as a whole as a result of the collision is 7mv² / 24