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JEE Main & Advanced Physics Wave Mechanics Question Bank Vibration of String

  • question_answer
    A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 Hz then the waves would travel on its with a velocity of  [BCECE 2005]

    A)            125 m/s                                  

    B)            250 m/s

    C)            500 m/s                                  

    D)            1000 m/s

    Correct Answer: C

    Solution :

                         For string \[\lambda =\frac{2l}{p}\] where p = No. of loops = Order of vibration Hence for forth mode p = 4 Þ \[\lambda =\frac{l}{2}\] Hence v = nl  \[=500\times \frac{2}{2}=500\,Hz\]


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