Question #259

Shown in the photograph below is an open tube about 50 cm long. If you blow at an angle into one end of the tube you can make a sort of musical tone.

Click your mouse on the photograph above to hear the fundamental frequency of the tube on an mpeg video.

Shown in the photographs below are (top to bottom) a closed tube the same length as the original tube, an open tube with half the length of the original tube, and a closed tube with half the length of the original tube.

(a) tube a:

(b) tube b:

(c) tube c:

What is the relationship of fundamental frequency of each of the three tubes above to the frequency of the original tube?

Case (a): Relative to the original tube, the frequency of tube (a) is:

Case (b): Relative to the original tube, the frequency of tube (b) is:

Case (c): Relative to the original tube, the frequency of tube (c) is:

Click here for Answer #259 after October 16, 2006.


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