1.

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?

A. 0
B. \[\sqrt{a/2b}\]
C. \[-\sqrt{a/2b}\]
D. \[\sqrt{a/b}\]
Answer» B. \[\sqrt{a/2b}\]


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