A particle of mass m moving with a velocity $u$ makes an elastic one dimensional collision with a stationary particle of mass $m$ establishing a contact with it for extremely small time $T$. Their force of contact increases from zero to $F_0$ linearly in time $\frac{T}{4}$, remains constant for a further time $\frac{T}{2}$ and decreases linearly from  $F_0$  to zero in further time $\frac{T}{4}$ as shown. The magnitude possessed by $F_0$  is

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  • A

    $\frac{{mu}}{T}$

  • B

    $\frac{{2mu}}{T}$

  • C

    $\frac{{4mu}}{{3T}}$

  • D

    $\frac{{3mu}}{{4T}}$

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  • [JEE MAIN 2021]