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

  • question_answer
    Two particles P and Q start from origin and execute Simple Harmonic Motion along X-axis with same amplitude but with periods 3 seconds and 6 seconds respectively. The ratio of the velocities of P and Q when they meet is  [EAMCET 2001]

    A)            1 : 2                                          

    B)            2 : 1

    C)            2 : 3                                          

    D)            3 : 2

    Correct Answer: B

    Solution :

                       The particles will meet at the mean position when P completes one oscillation and Q completes half an oscillation So \[\frac{{{v}_{P}}}{{{v}_{Q}}}=\frac{a{{\omega }_{P}}}{a{{\omega }_{Q}}}=\frac{{{T}_{Q}}}{{{T}_{P}}}=\frac{6}{3}=\frac{2}{1}\]


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