Determining overtones of sound waves in a pip

AI Thread Summary
To determine the locations of displacement nodes in a pipe that is 1.60 m long, closed at one end and open at the other, the first overtone has one node located at one-fourth the length of the pipe from the closed end, while the second overtone has two nodes located at one-third and two-thirds of the pipe's length. In a closed pipe, the closed end is a node and the open end is an antinode. Understanding overtones involves recognizing that each overtone corresponds to additional nodes and antinodes formed in the standing wave pattern. This knowledge is crucial for solving related problems in acoustics and preparing for tests on sound wave behavior in pipes.
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Homework Statement


Standing sound waves are produced in a pipe that is 1.60 {\rm m} long. 1) the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the first overtone. 2) If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the second overtone.


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The Attempt at a Solution


I got the first four questions to this set regarding pipes opened at both ends, but can't figure this out. Does anyone have an easy solution? I need to know how to do this for my test. Thanks!
 
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In the closed pipe, during resonance, always anti node appears on the open end and node appears at the closed end. Can you find out the number of nodes between the extreme ends during first and second over tones?
 


Can you explain overtones?
 
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