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

  • question_answer
    Two open organ pipes of length 25 cm and 25.5 cm produce 10 beat/sec. The velocity of sound will be [Pb. PMT 2004]

    A)            255 m/s                                  

    B)            250 m/s

    C)            350 m/s                                  

    D)            None of these

    Correct Answer: A

    Solution :

               \[n={{n}_{1}}-{{n}_{2}}\]\[\Rightarrow 10=\frac{v}{2{{l}_{1}}}-\frac{v}{2{{l}_{2}}}\]\[=\frac{v}{2}\left[ \frac{1}{{{l}_{1}}}-\frac{1}{{{l}_{2}}} \right]\]                    \[\Rightarrow 10=\frac{v}{2}\left[ \frac{1}{0.25}-\frac{1}{0.255} \right]\]\[\Rightarrow v=255\,m/s.\]


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