If two travelling waves interfere to produce a standing wave described by: y(x,t) = 0.02 sin(4Ttx)cos(120rt), then the wave functions of the two interfering waves are: O y-1 (x,t) = 0.02sin(2rx - 60t) and y_2 (x,t) = 0.02sin(2rx + 60nt) O y-1 (x,t) = 0.04sin(2rtx - 60nt) and y_2 (x,t) = 0.04sin(2rtx + 60rt) O y-1 (x,t) = 0.02sin(4tx - 120nt) and y_2 (x,t) = 0.02sin(4tix + 120rt) O y-1 (x,t) = 0.01sin(4rx - 120rt) and y_2 (x,t) = 0.01sin(4rtx + 120rt) O y-1 (x,t) = 0.04sin(4rtx - 120rt) and y_2 (x,t) = 0.04sin(4Ttx + 120nt)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter17: Traveling Waves
Section: Chapter Questions
Problem 10PQ
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If two travelling waves interfere to produce a standing wave described by: y(x,t) =
0.02sin(4Ttx)cos(120tt), then the wave functions of the two interfering waves
are:
y_1 (x,t) = 0.02sin(2rx - 60rt) and y_2 (x,t) = 0.02sin(2rtx + 60rt)
O y-1 (x,t) = 0.04sin(2rx - 60nt) and y_2 (x,t) = 0.04sin(2rx + 60nt)
O y-1 (x,t) = 0.02sin(4Tx - 120t) and y_2 (x,t) = 0.02sin(4Tx + 120nt)
O y-1 (x,t) = 0.01sin(4Tx - 120nt) and y_2 (x,t) = 0.01sin(4Tx + 120nt)
O y_1 (x,t) = 0.04sin(4Tx - 120nt) and y_2 (x,t) = 0.04sin(4Ttx + 120t)
%3D
Transcribed Image Text:If two travelling waves interfere to produce a standing wave described by: y(x,t) = 0.02sin(4Ttx)cos(120tt), then the wave functions of the two interfering waves are: y_1 (x,t) = 0.02sin(2rx - 60rt) and y_2 (x,t) = 0.02sin(2rtx + 60rt) O y-1 (x,t) = 0.04sin(2rx - 60nt) and y_2 (x,t) = 0.04sin(2rx + 60nt) O y-1 (x,t) = 0.02sin(4Tx - 120t) and y_2 (x,t) = 0.02sin(4Tx + 120nt) O y-1 (x,t) = 0.01sin(4Tx - 120nt) and y_2 (x,t) = 0.01sin(4Tx + 120nt) O y_1 (x,t) = 0.04sin(4Tx - 120nt) and y_2 (x,t) = 0.04sin(4Ttx + 120t) %3D
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