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J & K CET Medical J & K - CET Medical Solved Paper-2000

  • 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 :

    A)  4 kg-wt                                               

    B)  8 kg-wt

    C)  12 kg-wt                                             

    D)  16 kg-wt

    Correct Answer: D

    Solution :

                    Frequency of stretched string is \[n=\frac{1}{\lambda }\sqrt{\frac{T}{\mu }}\]where\[\lambda \]is wavelength, T the tension and\[\mu \]the mass per unit length. For octave     \[n=2n\] \[\therefore \]  \[\frac{n}{n}=\sqrt{\frac{T}{T}}=2\] \[\Rightarrow \]               \[T=4T\] Given,        \[T=4\text{ }kg-wt\]      \[T=16kg-wt\]


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