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

  • question_answer
    The frequency of transverse vibrations in a stretched string is 200 Hz. If the tension is increased four times and the length is reduced to one-fourth the original value, the frequency of vibration will be                       [EAMCET (Med.) 1999]

    A)            25 Hz                                       

    B)            200 Hz

    C)            400 Hz                                     

    D)            1600 Hz

    Correct Answer: D

    Solution :

      \[n=\frac{1}{2l}\sqrt{\frac{T}{m}}\]Þ\[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{{{l}_{2}}}{{{l}_{1}}}\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\]\[=\frac{1}{4}\sqrt{\frac{1}{4}}=\frac{1}{8}\]            Þ \[{{n}_{2}}=8{{n}_{1}}=8\times 200=1600Hz\]


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