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The fundamental frequency of a pipe that is open at both ends is 594 Hz .

How long is this pipe?

If one end is now closed, find the wavelength of the newfundamental.

If one end is now closed, find the frequency of the newfundamental.

Concepts and ReasonThis problem was solved by using open and closed endpipe harmonics.

To determine the length of a pipe, use the fundamental frequency of an open pipe at both ends.

Next, use the length of the pipe to determine the wavelength of the fundamental frequency and the fundamental frequency for a one-end closed pipe.

FundamentalsThe fundamental frequency of a pipe with both ends open is expressed as,

refers to the fundamental frequency of a pipe with both ends open,f_{0}the velocity of sound andvthe length of the pipe.LThe fundamental frequency of a pipe, which is only one-end closed, is expressed as

refers to the fundamental frequency of a pipe with both ends open,fthe velocity of sound andvthe length of the pipe.LThe wavelength of the fundamental of a closed one-end pipe is expressed as,

here is the wavelength for fundamental.λ(1) The fundamental frequency of a pipe with both ends open is expressed as,

Adjust the expression above to adjust the length of your pipe.

The length of the pipe will therefore be

0.290 m.(2) The wavelength of the fundamental of a closed one-end pipe is expressed as,

Modify the expression above for

.λThe wavelength of the fundamental of a one-end closed pipe is

1.16 m.(3) The fundamental frequency of a pipe, which is only one-end closed, is expressed as

The fundamental frequency of a pipe with one end closed is

297 Hz.Ans:

Part 1: The length of the pipe measures

0.290 m.Part 2:

1.16 mis the wavelength of the fundamental of a closed one-end pipe.Part 3: The fundamental frequency for a pipe that is not closed at one end of the line is

297 Hz.