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The momentum of a moving particle given ...

The momentum of a moving particle given by `p=tl nt`. Net force acting on this particle is defined by equation `F=(dp)/(dt)`. The net force acting on the particle is zero at time

A

`t=0`

B

`t=1/e`

C

`t=1/e^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`:' p=tl nt`
`:. F=(dp)/(dt)=d/(dt) (tlnt)=(1) lnt +(t) (1/t)=1 +l nt`
`F=0 rArr 1 + lnt=0rArr lnt =-1 rArr t=e^(-1)=1/e`
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