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

  • question_answer
    A pipe 30 cm long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1.1 kHz source? (Take speed of sound in air = 330 ms?1) [AMU 2002]

    A)            First                                         

    B)            Second

    C)            Third                                        

    D)            Fourth

    Correct Answer: A

    Solution :

               Fundamental frequency of open pipe                    \[{{n}_{1}}=\frac{v}{2l}=\frac{330}{2\times 0.3}=550\]\[Hz\]                    First harmonic = \[2\times {{n}_{1}}=1100\]\[Hz\]. = \[1.1\,\,kHz\]


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