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A particle of mass is moving in a stra...

A particle of mass 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 constant . The value of T is :

A

`2sqrt((k)/(p))`

B

`2sqrt((P)/(k))`

C

`sqrt((2k)/(p))`

D

`sqrt((2p)/(k))`

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