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

  • question_answer
    An organ pipe, open from both end produces 5 beats per second when vibrated with a source of frequency 200 Hz. The second harmonic of the same pipes produces 10 beats per second with a source of frequency 420 Hz. The frequency of source is                                                   [DCE 2005]

    A)            195 Hz                                     

    B)            205 Hz

    C)            190 Hz                                     

    D)            210 Hz

    Correct Answer: B

    Solution :

                       Initially number of beats per second = 5 \ Frequency of pipe = 200 ± 5 = 195 Hz or 205 Hz  ...(i) Frequency of second harmonics of the pipe = 2n and number of beats in this case = 10 \ 2n = 420 ± 10 Þ 410 Hz or 430 Hz Þ n = 205 Hz or 215 Hz                                        ... (ii) From equation (i) and (ii) it is clear that n = 205 Hz


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