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

  • question_answer
    Frequency of a sonometer wire is n. Now its tension is increased 4 times and its length is doubled then new frequency will be                                                         [RPET 2000]

    A)            n/2

    B)            4n

    C)            2n  

    D)            n

    Correct Answer: D

    Solution :

                 \[n\propto \frac{1}{l}\sqrt{T}\]Þ \[\frac{{{n}'}}{n}=\sqrt{\frac{{{T}'}}{T}}\times \frac{l}{{{l}'}}=\sqrt{4}\times \frac{1}{2}=1\]Þ \[{n}'=n\]


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