0\]at \[X=0\]and\[\pm \SQRT{2/2b};U(x)=0\] at \[x=0\]and\[U(x)<0\]at\[\pm \sqrt{a/2b}\]

"> 0\]at \[X=0\]and\[\pm \SQRT{2/2b};U(x)=0\] at \[x=0\]and\[U(x)<0\]at\[\pm \sqrt{a/2b}\]

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A certain system has potential energy given by the function \[U(x)=-a{{x}^{2}}+b{{x}^{4}}\]with constants, a, b > 0. Which of the following value of x is an unstable equilibrium point?

NEET Physics in NEET . 9 months ago

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[a] \[F=0\]at \[X=0\]and\[\pm \SQRT{2/2b};U(x)=0\] at \[x=0\]and\[U(x)<0\]at\[\pm \sqrt{a/2b}\]

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