Two particles A and B, of mass m each, are joined by a rigid mass less rod of length l. A particle P of mass m, moving with a speed u normal to AB, strikes A and sticks to it. Immediately after the impact,
(a) AC = l/3
(b) the angular momentum of the ‘A + B + P’ system about C is 1/3 mul
(c) the moment of inertia of the ‘A + B + P’ system about C is 2/3 ml2
(d) the angular velocity of the ‘A + B + P’ system is u/2l