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The second overtone of a closed organ pi...

The second overtone of a closed organ pipe is in unison with the fourth overtone of the open organ pipe. Calculate the ratio of length of the two pipes.

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To solve the problem, we need to find the ratio of the lengths of a closed organ pipe and an open organ pipe when their respective overtones are in unison. ### Step-by-Step Solution: 1. **Identify the Overtones**: - The second overtone of a closed organ pipe corresponds to the 5th harmonic (since the first overtone is the 2nd harmonic). - The fourth overtone of an open organ pipe corresponds to the 5th harmonic as well (since the first overtone is the 2nd harmonic). ...
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Third overtone of a closed organ pipe is in unison with fourth harmonic of an open organ pipe. Find the ratio of lengths of the two pipes.

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Knowledge Check

  • Third overtone of a closed organ pipe is in unison with fourth harmonic of an open organ pipe.The ratio of the lengths of the pipes is

    A
    `7 : 8`
    B
    `2 : 5`
    C
    `7 : 4`
    D
    `2 : 1`

  • Fifth overtone of closed organ pipe is in unison with fifth overtone of open organ pipe. The ratio of their lengths is

    A
    `(12)/(11)`
    B
    `(11)/(12)`
    C
    `(5)/(6)`
    D
    `(6)/(5)`

  • If the fifth overtone of a closed pipe is in unison with the fifth overtone of an open pipe, then the ratio of the length of closed pipe to open pipe will be

    A
    `11 : 12`
    B
    ` 12 : 11`
    C
    `13 : 11`
    D
    `11 : 13`

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    Third overtone of a closed organ pipe is in unison with fourth harmonic of an open organ pipi . Find the ratio of the lengths of the pipes.

    The third overtone of a closed pipe is found to be in unison with the firest overtone of an open pipe. Find the ratio of the lengths of the pipes.

    The 4^(th) overtone of an open organ pipe resonates with the first overtone of semi-open organ pipe. The ration of the length of the open pipe to the semi-open pipe is

    The Fundamental frequency of a pipe closed at one end is in unison with the second overtone of an open pipe. Calculate the ratio of the length of their air columns. Ignore the end correction.

    The frequency of third overtone of a pipe closed at one end , is in unison with the fifth overtone of a pipe open at both the ends. Then the ratio of length of the pipe closed at one end to the open at both the ends is

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