Resonance in Closed Air Coloumn

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SUMMARY

The discussion centers on the confusion between textbook and teacher interpretations of resonance in a closed air column. The textbook correctly states that the third resonance is represented as 5/4 lambda (λ), while the teacher mistakenly claims it is 1 lambda. The correct interpretation involves understanding that the third resonance consists of one full wavelength plus one-quarter of a wavelength, totaling 5/4 lambda. The teacher's diagram actually depicts the fourth resonance, which is 7/4 lambda.

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  • Knowledge of standing waves in closed air columns
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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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