Physics

Problem

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

3p

. Here

k

is a constant. The value of

T

is : [Main 11 Jan. 2019 II] (a)

2\sqrt{\frac{k}{p}}

(b)

2\sqrt{\frac{p}{k}}

(c)

\sqrt{\frac{2k}{p}}

(d)

\sqrt{\frac{2p}{k}}