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

  • question_answer
    Two closed organ pipes of length 100 cm and 101 cm 16 beats in 20 sec. When each pipe is sounded in its fundamental mode calculate the velocity of sound [AFMC 2003]

    A)            303 ms?1                                 

    B)            332 ms?1

    C)            323.2 ms?1                             

    D)            300 ms?1

    Correct Answer: C

    Solution :

                       Number of beats per second,                    \[n=\frac{16}{20}=\frac{4}{5}\]Þ\[n={{n}_{1}}-{{n}_{2}}=\frac{v}{4}\left( \frac{1}{{{l}_{1}}}-\frac{1}{{{l}_{2}}} \right)\]                    Þ\[\frac{4}{5}=\frac{v}{4}\left( \frac{1}{1}-\frac{1}{1.01} \right)=\frac{0.01v}{4\times 1.01}\]            \[v=\frac{16\times 101}{5}=323.2\,m{{s}^{-1}}\]


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