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J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    An organ pipe is closed at one end and open at the other. What is the ratio of frequencies of the 3rd and 4th fundamental modes of vibration?

    A)  \[\frac{3}{4}\]                 

    B)  \[\frac{5}{7}\]

    C)  \[\frac{3}{5}\]

    D)  \[\frac{9}{11}\]

    Correct Answer: B

    Solution :

    The frequency of 3rd fundamental mode of vibration. \[{{v}_{3}}=\frac{5v}{4\,\,L}\] The frequency of 4th fundamental mode of vibration                  \[{{v}_{4}}=\frac{7v}{4\,\,L}\] \[\frac{{{v}_{3}}}{{{v}_{4}}}=\frac{5}{7}\]                         


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