CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths is:

    A)  \[1:1\]                 

    B)         \[2:1\]

    C)  \[1:4\]                 

    D)         \[1:2\]

    E)  \[4:1\]

    Correct Answer: D

    Solution :

    Fundamental frequency of closed pipe, \[{{n}_{1}}=\frac{v}{4{{l}_{1}}}\] Fundamental frequency of open pipe, \[{{n}_{2}}=\frac{v}{2{{l}_{2}}}\] But           \[{{n}_{1}}={{n}_{2}}\] \[\therefore \]  \[\frac{{{l}_{1}}}{{{l}_{2}}}=\frac{1}{2}\]


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