The potential energy of a particle changes with distance $x$ from a fixed origin as $V = \frac{A\sqrt{x}}{x + B}$, where $A$ and $B$ are constants with appropriate dimensions. The dimensions of $AB$ are . . . . . . .
- A$[M^1L^{5/2}T^{-2}]$
- B$[M^{3/2}L^{5/2}T^{-2}]$
- C$[M^1L^2T^{-2}]$
- D$[M^1L^{7/2}T^{-2}]$
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