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A particle with total mechanical energy, which is small and negative, is under the influence of a one dimensional potential \( U(x)=\left[\left(x^{4} / 4\right)-\left(x^{2} / 2\right)\right] J \) where \( x \) is in meters. At time \( t=0 \mathrm{~s} \) it is at \( x=-0.5 \mathrm{~m} \). Then at a later time it can be found
[KVPY 2016]
(a) Anywhere on the \( x \) axis
(b) Between \( x=-1.0 \mathrm{~m} \) to \( x=1.0 \mathrm{~m} \)
(c) Between \( x=-1.0 \mathrm{~m} \) to \( x=0.0 \mathrm{~m} \)
(d) Between \( x=0.0 \mathrm{~m} \) to \( x=1.0 \mathrm{~m} \)
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