JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Sample Paper Topic Test - Work Energy Power

  • 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) \[\sqrt{a/b}\]

    Correct Answer: A

    Solution :

    [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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