A tube is open only at one end and has a length of 1.5 m. This tube sustains a standingwave at its third harmonic. What is the distance between one node and the adjacentantinode? 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 ConstantsVsound in air = 343 m/sspeed of light c = 3 x 10° m/snair = 1nwater = 1.33nglass = 1.5Electromagnetic waves:f = vv =nStanding waves on a string:2LTv =V (m/L)m = 1, 2, 3,...m.mVfm-m = mf2LStanding waves in a vibrating column of airTube closed at one end: 1m4Lm = 1, 3, 5 ...fm =mmfm2LTube open (or closed) at both ends: Ammm = 1, 2, 3, 4, 5 ...fmm = mf,2LInterference of waves from two sources:Constructive Interference: AL = m1 , m= 1, 2, 3...%3DAL = m-2', m= 1, 3, 5...Destructive Interference:|

Given data: The length of tube is L=1.5 m. The harmonic of wave is m=3.

Answered: A tube is open only at one end and has…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

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Chapter16: Electromagnetic Waves

Section: Chapter Questions

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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:
|

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