Where Are the Nodes in a 2.00 m Pipe with Standing Sound Waves?

[philf0018]

Homework Statement

(a) Standing sound waves are produced in a pipe that is 2.00 m long and open at both ends. (Give all answers measured from the left end of the pipe, and from smallest to largest where there is more than one answer.)

(i) For the fundamental and first two overtones, determine the locations along the pipe of the displacement nodes.
fundamental
m (meters)
first overtone
m
m
second overtone
m
m
m
(ii) For the fundamental and first two overtones, determine the locations along the pipe of the pressure nodes.
fundamental
m
m
first overtone
m
m
m
second overtone
m
m
m
m

(b) Consider the same pipe closed at the left end and open on the right end. (Give all answers measured from the left end of the pipe, and from smallest to largest where there is more than one answer.)

(i) For the fundamental and first two overtones, determine the locations along the pipe of the displacement nodes.
fundamental
m
first overtone
m
m
second overtone
m
m
m
(ii) For the fundamental and first two overtones, determine the locations along the pipe of the pressure nodes.
fundamental
m
first overtone
m
m
second overtone

Homework Equations

L= n\lambda/4

 

[Kurdt]

So what have you tried? What do you know about the nodes in a standing wave of an open pipe?