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A flute is played by blowing across a mouthpiece in order to make standing MM in

ID: 1422120 • Letter: A

Question

A flute is played by blowing across a mouthpiece in order to make standing MM in the air in the pipe. If an end of the flute is open, that end will act as a node in the standing wave. You find a flute with a length of 0.8 m that is open at both ends. Qualitatively sketch the three lowest-frequency standing waves that can be made in the flute What are the frequencies of these notes? Repeat problem 7, but for a flute that is open at one end and closed at the other (a closed end, for a flute, means that end is an antinode).

Explanation / Answer

Problem 8

a) I am unable to upload the image. Please go to this link

https://www.google.co.in/search?q=standing+waves+one+end+closed+diagrams&espv=2&biw=1517&bih=741&tbm=isch&imgil=4yOfGhJDUL8_xM%253A%253BrQL8NLCVyxArsM%253Bhttp%25253A%25252F%25252Fwww.acs.psu.edu%25252Fdrussell%25252FDemos%25252FStandingWaves%25252FStandingWaves.html&source=iu&pf=m&fir=4yOfGhJDUL8_xM%253A%252CrQL8NLCVyxArsM%252C_&usg=__wZqhMBCaXU6Gxxnu37dp9nDkbOs%3D&dpr=0.9&ved=0ahUKEwjp8tSEqZLLAhWBSI4KHQuXC6IQyjcILg&ei=pqPOVumHBoGRuQSLrq6QCg#imgrc=4yOfGhJDUL8_xM%3A

b) frequencies will be

Vair/4L , 3Vair/4L, 5Vair/4L where Vair is velocity of sound in air ie. 343 m/s and L is 0.8m

or 107.1875 Hz, 321.5625 Hz, 535.9375 Hz

Let me know if you need more explanation.

have a good day :)

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