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

  • question_answer
    A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic [NCERT 1984; MNR 1995;  RPMT 1995; DCE 2000; UPSEAT 2000]

    A)            1 cm                                         

    B)            \[\sqrt{2}\]cm

    C)            3 cm                                         

    D)            \[2\sqrt{2}\]cm

    Correct Answer: D

    Solution :

                       Let x be the point where K.E. = P.E. Hence \[\frac{1}{2}m{{\omega }^{2}}({{a}^{2}}-{{x}^{2}})=\frac{1}{2}m{{\omega }^{2}}{{x}^{2}}\] Þ \[2{{x}^{2}}={{a}^{2}}\] Þ \[{{T}_{1}}=2s\]


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