$A$ 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
- A$2\sqrt{\frac{k}{p}}$
- B$2\sqrt{\frac{p}{k}}$
- C$\sqrt{\frac{2k}{p}}$
- D$\sqrt{\frac{2p}{k}}$
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