Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02 sin(4TIX+Ttt) and y2 = 0.02 sin(4Ttx-Tt), where x and y are in meters, andt is in seconds. If after superposition, a standing wave of 3 loops is formed, then the length of the string is: O 2 m 1.5 m O 0.5 m 0.75 m O 1m

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Chapter16: Wave Motion
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Problem 16.3P: At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are...
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Two transverse sinusoidal waves combining in a string are described by the wave
functions y1 = 0.02 sin(4Ttx+rtt) and y2 = 0.02 sin(4Ttx-Ttt), where x and y are in
meters, andt is in seconds. If after superposition, a standing wave of 3 loops is
formed, then the length of the string is:
O 2 m
1.5 m
0.5 m
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+rtt) and y2 = 0.02 sin(4Ttx-Ttt), where x and y are in meters, andt is in seconds. If after superposition, a standing wave of 3 loops is formed, then the length of the string is: O 2 m 1.5 m 0.5 m 0.75 m
Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and
differing with their phase constant, are travelling to the right with same velocity v
= 60 m/s. The resultant wave function y res (x,t) will have the form:
y_res (x,t) = 12(cm) cos(p/2) sin(150rtx-3nt+p/2).
%3D
O y_res (x,t) = 12(cm) cos(p/2) sin(3Ttx+150rtt+p/2).
y_res (x,t) = 12(cm) cos(p/2) sin(150tx+3rt+p/2).
O y-res (x,t) = 12(cm) cos(p/2) sin(3Tx-150rt+p/2).
%3D
O y-res (x,t) = 12(cm) cos(p/2) sin(3rx-180rtt+p/2).
rdirection with the same amplitude.
Transcribed Image Text:Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the right with same velocity v = 60 m/s. The resultant wave function y res (x,t) will have the form: y_res (x,t) = 12(cm) cos(p/2) sin(150rtx-3nt+p/2). %3D O y_res (x,t) = 12(cm) cos(p/2) sin(3Ttx+150rtt+p/2). y_res (x,t) = 12(cm) cos(p/2) sin(150tx+3rt+p/2). O y-res (x,t) = 12(cm) cos(p/2) sin(3Tx-150rt+p/2). %3D O y-res (x,t) = 12(cm) cos(p/2) sin(3rx-180rtt+p/2). rdirection with the same amplitude.
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