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JEE Main & Advanced Physics Wave Mechanics Question Bank Organ Pipe (Vibration of Air Column)

  • question_answer
    If v is the speed of sound in air then the shortest length of the closed pipe which resonates to a frequency n [KCET 2003]

    A)            \[\frac{v}{4n}\]                   

    B)            \[\frac{v}{2n}\]

    C)            \[\frac{2n}{v}\]                   

    D)            \[\frac{4n}{v}\]

    Correct Answer: A

    Solution :

               For shortest length of pipe mode of vibration must be fundamental i.e., \[n=\frac{v}{4l}\]Þ \[l=\frac{v}{4n}.\]


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