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The potential energy of a \( 1 \mathrm{~kg} \) particle free to move along the \( X \)-axis is given by \( U(x)=\left[\frac{x^{4}}{4}-\frac{x^{2}}{2}\right] \mathrm{J} \)
The total mechanical energy of the particle is \( 2 \mathrm{~J} \). Then, maximum speed (in \( \mathrm{ms}^{-1} \) ) is
(a) \( \frac{3}{\sqrt{2}} \)
(b) \( \sqrt{2} \)
(c) \( \frac{1}{\sqrt{2}} \)
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