A thin uniform rod of length L = 40 cm and mass m = 16 kg free to rotate in a vertical plane about a smooth pivot through which it is suspended as shown. A dense point body of same mass (m) moving horizontally with a speed `V_(0)` strikes the rod at its lower perfectly inelastically so that system can just reach a horizontal position after the collision. Match Column - I with Column - II. `(g=10"ms"^(-2))`

`{:("Column-I","Column-II"),("(A) Angular velocity of system just after the collision in rads"^(-1),"(P) 4"),("(B) Velocity of point mass "(V_(0))" just before collision "("in ms"^(-1)),"(Q) 50"),("(C) Angular acceleration in rads"^(-2)" of system when it reaches the horizontal position (approximately)","(R) 28"),("(D) Force applied by the pivot on the rod in N when the rod is in ","(S) "7.8):}`

Answer

A-S; B-Q, S;C-PQR; D-QRS