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BCECE Medical BCECE Medical Solved Papers-2006

  • question_answer
    Two closed organ pipes A and B have the same length. A is wider than B. They resonate in the fundamental mode at frequencies \[{{n}_{A}}\] and \[{{n}_{B}}\] respectively, then :

    A)  \[{{n}_{A}}={{n}_{B}}\]

    B)  \[{{n}_{A}}>{{n}_{B}}\]

    C)  \[{{n}_{A}}<{{n}_{B}}\]

    D)  either [b] or [c] depending on the ratio of their diameters

    Correct Answer: C

    Solution :

    In the fundamental mode of vibration                 \[\frac{\lambda }{4}=(l+0.3\,d)\] where 0.3d is the necessary end correction. Frequency of vibration \[n=\frac{v}{\lambda }=\frac{v}{4(l+0.3\,d)}\] As \[l\] is same for both pipes, wider pipe  will resonate at a lower frequency, i.e., \[{{n}_{A}}<{{n}_{B}}\].


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