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

  • question_answer
    A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio [Roorkee 1999]

    A)            1 : 2                                          

    B)            2 : 3

    C)            3 : 4                                          

    D)            4 : 5

    Correct Answer: C

    Solution :

               If is given that First over tone of closed pipe = First over tone of open pipe Þ \[3\left( \frac{v}{4{{l}_{1}}} \right)=2\left( \frac{v}{2{{l}_{2}}} \right)\]; where l1 and l2 are the lengths of closed and open organ pipes hence \[\frac{{{l}_{1}}}{{{l}_{2}}}=\frac{3}{4}\]


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