The potential energy of a particle varies with distance $x$ from a fixed origin as $V = \frac{{A\sqrt x }}{{x + B}}$,where
$A$ and $B$ are constants. The dimensions of $AB$ are

  • [AIIMS 2017]
  • A

    $ML^{5/2} T^{-2}$

  • B

    $M^1 L^2 T^{-2}$

  • C

    $M^{3/2} L^{3/2} T^{-2}$

  • D

    $M^1 L^{7/2} T^{-2}$

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