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

  • question_answer
    A body is executing S.H.M. When its displacement from the mean position is 4 cm and 5 cm, the corresponding velocity of the body is 10 cm/sec and 8 cm/sec. Then the time period of the body is          [CPMT 1991; MP PET 1995]

    A)            \[2\pi \,sec\]                        

    B)            \[\pi /2\]sec

    C)            \[\pi \,sec\]                          

    D)            \[3\pi /2\,sec\]

    Correct Answer: C

    Solution :

                       \[v=\omega \sqrt{{{a}^{2}}-{{y}^{2}}}\]Þ\[10=\omega \sqrt{{{a}^{2}}-{{(4)}^{2}}}\]and \[8=\omega \sqrt{{{a}^{2}}-{{(5)}^{2}}}\]            On solving w = 2 Þ \[\omega =\frac{2\pi }{T}=2\] Þ \[T=\pi \]sec


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