JEE Mains 05-Sep-2020 Shift 2 Solved Paper

A thin rod of mass 0.9kg and length 1m is suspended, at rest, from one end so that it can freely oscillate in the vertical plane. A particle of move 0.1kg moving in a straight line with velocity 80m∕s hits the rod at its bottom most point and sticks to it (see figure). The angular speed (in rad/s) of the rod immediately after the collision will be ______.