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The fundamental frequency of a closed pi...

The fundamental frequency of a closed pipe is equal to the frequency of the second harmonic of an open pipe. The ratio of their lengths is

A

`1:2`

B

`1:4`

C

`1:8`

D

`1:16`

Text Solution

Verified by Experts

The correct Answer is:
B
For closed pipe, fundamental frequency is,
`f_(1) =v/(4l)`
For open pipe, frequency of second harmonic
`f_(2) =v/L`
According to question, `f_(1) =f_(2)`
`v/(4l) =v/L` or `l/L =1/4`
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Knowledge Check

  • The fundamental frequency of a closed organ pipe is equal to frequency of 2^(nd) overtone of an open organ pipe. What will be the length of open pipe if length of closed pipe is 20 cm ?

    A
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    B
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    C
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    D
    100 cm

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    B
    `150 Hz`
    C
    `200 Hz`
    D
    `250 Hz`

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    A
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    B
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    D
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