A tube is open only at one end and has a length of 1.5 m. This tube sustains a standing wave at its third harmonic. What is the distance between one node and the adjacent antinode? Sketch the standing wave pattern.

College Physics
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ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter24: Wave Optics
Section: Chapter Questions
Problem 7P: Two radio antennas separated by d = 3.00 102 cm. as shown in Figure P24.7, simultaneously broadcast...
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A tube is open only at one end and has a length of 1.5 m. This tube sustains a standing
wave at its third harmonic. What is the distance between one node and the adjacent
antinode? Sketch the standing wave pattern.

(I know the answer is 0.5m I just really need to see the process. Please label variables for equations. I've included the equations we have been given in an image)

Numerical Constants
Vsound in air = 343 m/s
speed of light c = 3 x 10° m/s
nair = 1
nwater = 1.33
nglass = 1.5
Electromagnetic waves:
f = v
v =
n
Standing waves on a string:
2L
T
v =
V (m/L)
m = 1, 2, 3,...
m.
m
V
fm
-m = mf
2L
Standing waves in a vibrating column of air
Tube closed at one end: 1m
4L
m = 1, 3, 5 ...
fm =
m
mf
m
2L
Tube open (or closed) at both ends: Am
m
m = 1, 2, 3, 4, 5 ...
fm
m = mf,
2L
Interference of waves from two sources:
Constructive Interference: AL = m1 , m= 1, 2, 3...
%3D
AL = m-
2
', m= 1, 3, 5...
Destructive Interference:
|
Transcribed Image Text:Numerical Constants Vsound in air = 343 m/s speed of light c = 3 x 10° m/s nair = 1 nwater = 1.33 nglass = 1.5 Electromagnetic waves: f = v v = n Standing waves on a string: 2L T v = V (m/L) m = 1, 2, 3,... m. m V fm -m = mf 2L Standing waves in a vibrating column of air Tube closed at one end: 1m 4L m = 1, 3, 5 ... fm = m mf m 2L Tube open (or closed) at both ends: Am m m = 1, 2, 3, 4, 5 ... fm m = mf, 2L Interference of waves from two sources: Constructive Interference: AL = m1 , m= 1, 2, 3... %3D AL = m- 2 ', m= 1, 3, 5... Destructive Interference: |
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