Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02 sin(4Ttx+Tt) and y2 = 0.02 sin(4Ttx-Ttt), where x and y are in meters, and t is in seconds. If after superposition, a standing wave of 3 loops is formed, then the length of the string is:

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 92P: Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x3s1t)...
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Two transverse sinusoidal waves combining
in a string are described by the wave
functions y1 = 0.02 sin(4Ttx+Ttt) and y2 =
0.02 sin(4Ttx-Tt), where x and y are in
meters, and t is in seconds. If after
%3D
superposition, a standing wave of 3 loops is
formed, then the length of the string is:
O 1m
O 1.5 m
0.5 m
O 2 m
O 0.75 m
Transcribed Image Text:Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02 sin(4Ttx+Ttt) and y2 = 0.02 sin(4Ttx-Tt), where x and y are in meters, and t is in seconds. If after %3D superposition, a standing wave of 3 loops is formed, then the length of the string is: O 1m O 1.5 m 0.5 m O 2 m O 0.75 m
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