• # question_answer 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) $\sqrt{a/b}$

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