JEE Main Physics question

A thick uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. Its mass is 0.16 kg and its length is 1.7 m. Two particles, each of mass 0.08 kg, are moving on the same surface, towards the bar, perpendicular to it, one with a velocity of 10 ms⁻¹ and the other with 6 ms⁻¹. They strike the bar simultaneously and completely inelastically, at points equidistant from the centre of the bar. The velocity of the centre of mass after collision is

• (A)2 ms⁻¹
• (B)4 ms⁻¹Correct
• (C)10 ms⁻¹
• (D)167 ms⁻¹