The potential energy of a particle varies with distance $x$ from a fixed origin as $U=\frac{A \sqrt{x}}{x^2+B}$, where $A$ and $B$ are dimensional constants then dimensional formula for $A B$ is

  • A

    $\left[ ML ^{11/2} T ^{-2}\right]$

  • B

    $\left[ ML ^{7 / 2} T ^{-2}\right]$

  • C

    $\left[M^2 L^{9 / 2} T^{-2}\right]$

  • D

    $\left[ ML ^{13 / 2} T ^{-3}\right]$

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