A heavy box is to dragged along a rough horizontal floor. To do so, person $A$ pushes it at an angle $30^o$ from the horizontal and requires a minimum force $F_A$, while person $B$ pulls the box at an angle $60^o$ from the horizontal and needs minimum force $F_B$. If the coefficient of friction between the box and the floor is $\frac{{\sqrt 3 }}{5}$ , the ratio $\frac{{{F_A}}}{{{F_B}}}$ is

  • [JEE MAIN 2014]
  • A

    $\sqrt 3 $

  • B

    $\frac{5}{{\sqrt 3 }}$

  • C

    $\sqrt {\frac{3}{2}} $

  • D

    $\frac{2}{{\sqrt 3 }}$

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