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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:

1. p k 2
2. p k 2
3. k p 2
4. k p 2

Correct answer: k p 2

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