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

  • question_answer
    The kinetic energy of a particle executing S.H.M. is 16 J when it is at its mean position. If the mass of the particle is 0.32 kg, then what is the maximum velocity of the particle [MH CET 2004]

    A)            \[5m/s\]                                

    B)            \[15m/s\]

    C)            \[10m/s\]                              

    D)            \[20m/s\]

    Correct Answer: C

    Solution :

                       Kinetic energy at mean position,                    \[{{K}_{max}}=\frac{1}{2}mv_{max}^{2}.\]\[\Rightarrow {{v}_{max}}=\sqrt{\frac{2\,{{K}_{max}}}{m}}\]            \[=\sqrt{\frac{2\times 16}{0.32}}\]\[=\sqrt{100}\] \[=10\,m/s.\]


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