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

  • question_answer
    When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude a is [CBSE PMT 1993; EAMCET (Engg.) 1995;                      MP PMT 1994, 2000; MP PET 1995, 96, 2002]

    A)            \[a/4\]                                    

    B)            \[a/3\]

    C)            \[a/2\]                                    

    D)            \[2a/3\]

    Correct Answer: C

    Solution :

               \[\frac{U}{{{U}_{\max }}}=\frac{\frac{1}{2}m{{\omega }^{2}}{{y}^{2}}}{\frac{1}{2}m{{\omega }^{2}}{{a}^{2}}}\]Þ \[\frac{1}{4}=\frac{{{y}^{2}}}{{{a}^{2}}}\] Þ \[y=\frac{a}{2}\]


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