Resonance in Closed Air Coloumn

AI Thread Summary
The discussion centers on a conflict between a textbook and a teacher regarding the third resonance in a closed air column. The textbook states that the third resonance is 5/4 lambda, while the teacher claims it is 1 lambda. Analysis shows that the textbook's calculation is correct, as it accounts for 1 full wavelength plus 1/4 wavelength. In contrast, the teacher's diagram actually represents the fourth resonance, which is 7/4 lambda. Therefore, the textbook's information is accurate regarding the third resonance.
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Hello,

My teacher and the textbook seem to be conflicting with each other, and I would like to know who's right. The image on the left was scanned streight out my my textbook, saying that the third resonance is 5/4 lamda. On the right, is an edited version of the textbook image,showing what my teacher had showed me to display the third resonance in an air coloum. He calims that it's 1 lamda. Who's right? or are they both right? Thanks in advance for any help!:-p
http://img428.imageshack.us/img428/9123/resonance8hc.png
 
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bump?:rolleyes:
 
1/2 lambda or 1/2 wave length is the distance between two succesive nodes or anti-nodes(crests).

so your textbooks shows

1 full wave length + 1/4 of a wave length

so 1 + 1/4 = 5/4 wave length ( or 5/4 lambda)

so it is correct.

your teacher's diagram;

1 full wave length + 3/4 of a wave length = 7/5 wave lenghts (7/4 lambda)

which is actually the 4th resonance. NOT the third!
 

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