JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    In a simple harmonic oscillator, at the mean position   AIEEE  Solved  Paper-2002

    A) kinetic energy is minimum, potential energy is maximum

    B) both kinetic and potential energies are maximum

    C) kinetic energy is maximum, potential energy is minimum    

    D) both kinetic and potential energies are minimum 

    Correct Answer: C

    Solution :

    Kinetic energy of a particle of mass m in SHM at any point \[=\frac{1}{2}m{{\omega }^{2}}({{a}^{2}}-{{x}^{2}})\]              and potential energy \[=\frac{1}{2}m{{\omega }^{2}}{{x}^{2}}\]              where, a is amplitude of particle and \[x\] is the distance from mean position.              So, at mean position, \[x=0\]              \[\therefore \]     \[KE=\frac{1}{2}m{{\omega }^{2}}{{a}^{2}}\]                       (maximum)              and            \[PE=0\]                               (minimum)


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