A bar of mass `? = 1.00` kg and length `? = 0.20` m is lying on a horizontal frictionless surface. One end of the bar is pivoted at a point about which it is free to rotate. A small mass `? = 0.10 kg` is moving on the same horizontal surface with `5.00 m s^−1` speed on a path perpendicular to the bar. It hits the bar at a distance `L/2` from the pivoted end and returns back on the same path with speed v. After this elastic collision, the bar rotates with an angular velocity `omega`. Which of the following statement is correct?

Options

A. `omega = 6.98 rad s^−1 and v = 4.30 m s^−1`
B. `omega = 3.75 rad s^−1 and v = 4.30 m s^−1`
C. `omega = 3.75 rad s^−1 and v = 10.0 m s^−1`
D. `omega = 6.08 rad s^−1 and v = 4.10 m s^−1`