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The fundamental frequency of a closed or...

The fundamental frequency of a closed organ pipe is equal to the first overtone of an open organ pipe. If the length of the open pipe is 60 cm, What is the length of the closed pipe?

Text Solution

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For closed organ pipe , 3rf harmonics = `(3v)/(4l)`
For open organ pipe , fundamental frequency , = `(v)/(2l.)`
Given , `(3v)/(4l) = (v)/(2l.)`
`l. = (4l)/(3 xx 2) = (4l)/(6)`
l = 20 cm `l. = (4 xx 20)/(6)`
`l. = 13.33 ` cm
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Knowledge Check

  • The fundamental frequency of a closes organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of the organ pipe open at both the ends is …….. .

    A
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    B
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    C
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    D
    140 cm

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