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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    Two instruments having stretched strings are being played in unison. When the tension of one of the instruments is increased by 1%, 3 beats are produced in 2s. The initial frequency of vibration of each wire is:

    A)  300 Hz                 

    B)         500 Hz 

    C)         1000 Hz               

    D)         400 Hz

    E)  600 Hz

    Correct Answer: A

    Solution :

    \[n=\frac{1}{2l}\sqrt{\left( \frac{T}{m} \right)}\] \[\therefore \]  \[n+\frac{3}{2}=\frac{1}{2l}\sqrt{\left( \frac{101T}{100m} \right)}\]                 \[=1.005\times \frac{1}{2l}\sqrt{\left( \frac{T}{m} \right)}\] \[\Rightarrow \]               \[n+1.5=1.005\,n\] \[\Rightarrow \]               \[n=300\,Hz\]


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