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JEE Main & Advanced Physics Wave Mechanics Question Bank Critical Thinking

  • question_answer
    An organ pipe is closed at one end has fundamental frequency of 1500 Hz. The maximum number of overtones generated by this pipe which a normal person can hear is : [AIIMS 2004]

    A)            14  

    B)            13

    C)            6    

    D)            9

    Correct Answer: C

    Solution :

               Critical hearing frequency for a person is 20,000Hz.                                  If a closed pipe vibration in \[{{N}^{th}}\] mode then frequency of vibration \[n=\frac{(2N-1)v}{4l}=(2N-1){{n}_{1}}\]                    (where \[{{n}_{1}}=\]fundamental frequency of vibration)                    Hence 20,000 \[=(2N-1)\times 1500\] Þ \[N=7.1\approx 7\]                    Also, in closed pipe                    Number of over tones = (No. of mode of vibration) ?1                                    = 7 ? 1 = 6.


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