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

  • question_answer
    The potential energy of a particle executing S.H.M. is 2.5 J, when its displacement is half of amplitude. The total energy of the particle be                                                          [DPMT 2001]

    A)            18 J

    B)            10 J

    C)            12 J

    D)            2.5 J

    Correct Answer: B

    Solution :

                       \[\frac{\text{Potential energy (}U\text{)}}{\text{Total energy (}E\text{)}}=\frac{\frac{1}{2}m{{\omega }^{2}}{{y}^{2}}}{\frac{1}{2}m{{\omega }^{2}}{{a}^{2}}}=\frac{{{y}^{2}}}{{{a}^{2}}}\] So \[\frac{2.5}{E}=\frac{{{\left( \frac{a}{2} \right)}^{2}}}{{{a}^{2}}}\] Þ \[E=10J\]


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