Which of these waves have the same period?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 22PQ
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38
Four traveling waves are described by the following
equations, where all quantities are measured in SI units
and y represents the displacement.
I: y = 0.12 cos(3x - 21t)
II: y= 0.15 sin(6x + 42t)
III: y = 0.13 cos(6x + 21t)
IV: y = -0.27 sin(3x - 42t)
Which of these waves have the same period?
O I and II, and also IlIl andIV
O I and IV, and also Il and III
O All of them have the same period.
O I and IlI, and also Il and IV
Transcribed Image Text:Four traveling waves are described by the following equations, where all quantities are measured in SI units and y represents the displacement. I: y = 0.12 cos(3x - 21t) II: y= 0.15 sin(6x + 42t) III: y = 0.13 cos(6x + 21t) IV: y = -0.27 sin(3x - 42t) Which of these waves have the same period? O I and II, and also IlIl andIV O I and IV, and also Il and III O All of them have the same period. O I and IlI, and also Il and IV
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