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An organ pipe is open at one end and closed at the other. The pipeis designed to

ID: 1664443 • Letter: A

Question

An organ pipe is open at one end and closed at the other. The pipeis designed to produce the note middleE (329.63 Hz). (Use 343 m/s asthe speed of sound in air.) (a) How long is the pipe?
1 m

(b) What is the frequency of the second harmonic?
2 Hz

(c) How many pressure nodes of the second harmonic are found insidethe pipe? Do not count nodes that may be at the ends of thepipe.
3

Please show all work so I can learn thanks
(a) How long is the pipe?
1 m

(b) What is the frequency of the second harmonic?
2 Hz

(c) How many pressure nodes of the second harmonic are found insidethe pipe? Do not count nodes that may be at the ends of thepipe.
3

Please show all work so I can learn thanks

Explanation / Answer

(a) How long is the pipe?
1 m
length=v/2n=343/2*329.63=0.5202m

(b) What is the frequency of the second harmonic?
2 Hz
second harmonic=2*329.63=659.26Hz

(c) How many pressure nodes of the second harmonic are found insidethe pipe? Do not count nodes that may be at the ends of thepipe.
3
two (2)

Please show all work so I can learn thanks
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