A rope of length $L$ and mass $M$ is being pulled on a rough horizontal floor by a constant horizontal force $F$ = $Mg$ . The force is acting at one end of the rope in the same direction as the length of the rope. The coefficient of kinetic friction between rope and floor is $1/2$ . Then, the tension at the midpoint of the rope is

  • A

    $\frac{{Mg}}{4}$

  • B

    $\frac{{2Mg}}{5}$

  • C

    $\frac{{Mg}}{8}$

  • D

    $\frac{{Mg}}{2}$

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  • [AIIMS 2002]