JEE Main & Advanced Physics Wave Mechanics Question Bank Critical Thinking

  • question_answer
    Two identical stringed instruments have frequency 100 Hz. If tension in one of them is increased by 4% and they are sounded together then the number of beats in one second is    [EAMCET (Engg.) 1995]

    A)            1    

    B)            8

    C)            4    

    D)            2

    Correct Answer: D

    Solution :

                Frequency of vibration in tight string                    \[n=\frac{p}{2l}\sqrt{\frac{T}{m}}\Rightarrow n\propto \sqrt{T}\]Þ\[\frac{\Delta n}{n}=\frac{\Delta T}{2T}=\frac{1}{2}\times (4%)=2%\]                    Þ Number of beats = \[\Delta n=\frac{2}{100}\times n=\frac{2}{100}\times 100=2\]


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