A particle of mass `m` is moving in a straight line with momentum `p`. Starting at time `t = 0`, a force `F= kt` acts in the same direction on the moving particle during time interval `T,` so that its momentum changes from `p` to `3p`. Here, `k` is a constant. The value of `T` is
Options:
(a) `sqrt((2p)/k)`
(b) `2sqrt(p/k)`
(c) `sqrt((2k)/p)`
(d) `2sqrt(k/p)`