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The potential energy \( U \) of a particle varies with
\( \mathrm{P} \) distance \( \mathrm{x} \) from a fixed origin as \( U=\frac{A \sqrt{x}}{x^{2}+B} \) where

W \( A \) and \( B \) are dimensional constants. The dimensional formula for \( \mathrm{AB} \) is
(1) \( \mathrm{M}^{1} \mathrm{~L}^{7 / 2} \mathrm{~T}^{-2} \)
(2) \( \mathrm{M}^{1} \mathrm{~L}^{11 / 2} \mathrm{~T}^{-2} \)
(3) \( \mathrm{M}^{1} \mathrm{~L}^{5 / 2} \mathrm{~T}^{-2} \)
(4) \( \mathrm{M}^{1} \mathrm{~L}^{9 / 2} \mathrm{~T}^{-2} \)
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