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

  • A

    $\left[ ML ^{5 / 2} T ^{-2}\right],[ L ]$

  • B

    $\left[ MLT ^{-2}\right],\left[L^2\right]$

  • C

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

  • D

    $\left[L^2\right],\left[ MLT ^{-2}\right]$

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