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

  • question_answer
    Two similar sonometer wires given fundamental frequencies of 500Hz. These have same tensions. By what amount the tension be increased in one wire so that the two wires produce 5 beats/sec                [RPET 1999]

    A)            1% 

    B)            2%

    C)            3% 

    D)            4%

    Correct Answer: B

    Solution :

                         To produce 5 beats/sec. Frequency of one wire should be increase up to 505 \[Hz\]. i.e. increment of 1% in basic frequency.                    \[n\propto \sqrt{T}\] or \[T\propto {{n}^{2}}\]Þ \[\frac{\Delta T}{T}=2\frac{\Delta n}{n}\]                    Þ percentage change in Tension =\[2\,(1%)=2%\]


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