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JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Energy of Simple Harmonic Motion

  • question_answer
    The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where E is the total energy)                                                             [CBSE PMT 2003]

    A)            \[\frac{1}{8}E\]                   

    B)            \[\frac{1}{4}E\]

    C)            \[\frac{1}{2}E\]                   

    D)            \[\frac{2}{3}E\]

    Correct Answer: B

    Solution :

               \[\frac{U}{E}=\frac{\frac{1}{2}m{{\omega }^{2}}{{y}^{2}}}{\frac{1}{2}m{{\omega }^{2}}{{a}^{2}}}=\frac{{{y}^{2}}}{{{a}^{2}}}=\frac{{{\left( \frac{a}{2} \right)}^{2}}}{{{a}^{2}}}=\frac{1}{4}\] Þ \[U=\frac{E}{4}\]


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