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

  • question_answer
    Consider the following statements. The total energy of a particle executing simple harmonic motion depends on its                   (1)      Amplitude  (2)   Period      (3)  Displacement Of these statements                               [RPMT 2001; BCECE 2005]

    A)            (1) and (2) are correct      

    B)            (2) and (3) are correct      

    C)            (1) and (3) are correct      

    D)            (1), (2)  and (3) are correct

    Correct Answer: A

    Solution :

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


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