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20 May, 03:22

Two adjacent natural frequencies of an organ pipe are found to be 550. Hz and 650. Hz. (a) Calculate the fundamental fre - quency of the pipe. (b) Is the pipe open at both ends or open at only one end? (c) What is the length of the pipe?

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  1. 20 May, 04:25
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    a) 100Hz

    b) opened at both ends

    c) 1.72m

    Explanation:

    Let fun be the nth Harmonic frequency organ. If pipe is opened at both ends.

    L = length of pipe

    Fyn = (n/x)

    550hz = (n/2L) v 1

    650hz = (n+1/2L) * v 2

    Comparing 1 and 2

    650hz = nv/2L + v/2L

    550 = 343/2L

    L = 550*2/343 = 1.7m

    c) fundamental frequency

    Fo = nv/2L = 343 / (2*1.7) = 100Hz
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