A uniform rod `AB` of mass `m` and length `l` is at rest on a smooth horizontal surface. An impulse `J` is applied to the end `B`, perpendicular to the rod in the horizontal direction. Speed of particlem `P` at a distance `(l)/(6)` from the centre towards `A` of the rod after time `t = (pi m l)/(12 J)` is.

Options

A. `2 ( J )/(m ) `
B. ` ( J )/( sqrt( 2) m) `
C. `( J )/( m)`
D. `sqrt( 2) ( J )/( m ) `

Answer

D