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AMU Medical AMU Solved Paper-1996

  • question_answer
    An open organ pipe and a closed organ pipe are tuned to the same tuning fork. The lengths of the open and closed pipes are in the ratio of

    A)  \[1:2\]               

    B)  \[4:1\]

    C)  \[3:1\]               

    D)  \[2:1\]

    Correct Answer: D

    Solution :

    : For fundamental frequency of closed pipe: \[{{n}_{c}}=\frac{v}{4{{l}_{c}}}\] For fundamental frequency of open pipe \[{{n}_{o}}=\frac{v}{2{{l}_{o}}}\] Since\[{{n}_{o}}={{n}_{c}}\] \[\therefore \] \[\frac{v}{2{{l}_{o}}}=\frac{v}{4{{l}_{c}}}\] or \[\frac{{{l}_{o}}}{{{l}_{c}}}=\frac{2}{1}\]


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