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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) = x^(4)//4 – x^(2)//2 J` Where x is in meters. At time `t = 0s`, it is at `x = – 0.5` m. Then at a later time it can be found

A

Anywhere on the x axis

B

Between x =` -1.0` m to x =` 1.0` m

C

Between x = `-1.0 m` to x = `0.0` m

D

Between `x = 0.0` m to `x = 1.0` m

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The correct Answer is:
C
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