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

  • question_answer
    The fundamental frequency of a string stretched with a weight of 4 kg is 256 Hz. The weight required to produce its octave is                                                    [J & K CET 2000]

    A)            4 kg wt                                   

    B)            8 kg wt

    C)            12 kg wt                                 

    D)            16 kg wt  

    Correct Answer: D

    Solution :

                         \[n=\frac{1}{2l}\sqrt{\frac{T}{m}}\]Þ \[n\propto \sqrt{T}\] For octave, \[{n}'=2n\] Þ \[\frac{{{n}'}}{n}=\sqrt{\frac{{{T}'}}{T}}=2\]Þ\[{T}'=4T=16kg\text{-}wt\]


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