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Resonant length

 
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Dec3-06, 10:06 PM   #1
 
Question

Resonant length


1. The problem statement, all variables and given/known data
The 1st rensonat length of a closed air column occurs when the length is 30.0cm. what will the send ond and third be?

2. Relevant equations
I did the pattern thign like 3/4 but i got the wrong answer.

3. The attempt at a solution

i multplied the legth 3/4 but i got the wrong answer.
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Dec3-06, 11:48 PM   #2
 
Second = 30.0*3=90.0 (cm)
Third= 30.0*5 = 150.0(cm)
u can draw graphs to know why.
Dec4-06, 01:26 AM   #3
 
Recognitions:
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A node is situated at the closed end an antinode at the open end. The "smallest structure" of the wavelenght that can accomodate this is a quarter wavelength.Which means that the wavelength is 120 cm. The next waveform will be three quarters of a wavelength (again a node at the closed end and an antinode at the open end).
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