A uniform rod of mass m, length l is placed over a smooth horizontal surface along y -axis and is at rest as shown in figure. An impulsive force F is applied for a small time `Deltat` along x-direction at point A. The x-coordinte of end A of the rod when the rod becomes parallel to x-axis for the first is (in itially the coordinates opf centre of mass of the rod is (0,0).

Options

A. `(pil)/(12)`
B. `l/2(1+(pi)/(12))`
C. `l/2(1-(pi)/(6))`
D. `l/2(1+(pi)/(6))`

Answer

D