The force `F` acting on a particle of mass `m` is indicated by the force-time graph shown below. The change in momentum of the particle over time interval from zero to 8 `s` is.

Options

A. `24Ns`
B. `20Ns`
C. `12Ns`
D. `6Ns`

Answer

C

Explanation

`F=(dp)/(dt)` implies `dp=F.dt` or `int_(pi)^(pf)dp=intF.dt`
Change in momentum=Area under the `F` versus `t` graph in that in interval
`=((1)/(2)xx2xx6)-(2xx3)+(4xx3)`
`=6-6+12Ns`