A thin uniform rod of length `l` and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot)
If rod is stopped by applying minimum impulse than what is impulse imparted by pivot
A. `m sqrt((gl)/(3))`
B. `m (sqrt(gl))/(2sqrt(3))`
C. `m sqrt((g)/(3l))`
D. `m sqrt((2g)/(3l))`