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

  • question_answer
    Two open organ pipes give 4 beats/sec when sounded together in their fundamental nodes. If the length of the pipe are 100 cm and 102.5 cm respectively, then the velocity of sound is :                       [Pb. PET 2000; CPMT 2001]

    A)            496 m/s                                  

    B)            328 m/s

    C)            240 m/s                                  

    D)            160 m/s

    Correct Answer: B

    Solution :

               \[\Delta n={{n}_{1}}-{{n}_{2}}\]\[\Rightarrow 4=\frac{v}{2{{l}_{1}}}-\frac{v}{2{{l}_{2}}}\]\[=\frac{v}{2}\left[ \frac{1}{1.00}-\frac{1}{1.025} \right]\]                    \[\Rightarrow 8=[1-0.975]\]\[\Rightarrow V=\frac{8}{0.025}\approx 328\,m/s.\]


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