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

  • question_answer
    Two closed pipe produce 10 beats per second when emitting their fundamental nodes. If their length are in ratio of 25 : 26. Then their fundamental frequency in Hz, are [MH CET 2002]

    A)            270, 280                                  

    B)            260, 270

    C)            260, 250                                  

    D)            260, 280

    Correct Answer: C

    Solution :

               \[{{n}_{1}}-{{n}_{2}}=10\]                                                 ..?(i)                    Using \[{{n}_{1}},=\frac{v}{4{{l}_{1}}}\] and \[{{n}_{2}}=\frac{v}{4{{l}_{2}}}\]                       Þ \[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{{{l}_{2}}}{{{l}_{1}}}=\frac{26}{25}\]                                                             ?..(ii) After solving these equation \[{{n}_{1}}=260Hz\],\[{{n}_{2}}=250\]\[Hz\]


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