Two traveling sinusoidal waves interfere to produce a wave with the mathematical formy(x,t) = Ym sin(kx +wt + a).If the value of ø is appropriately chosen, the two waves might be:A. Y1 (x,t) = (ym/3) sin(kx + wt) and y2(x,t) = (ym/3) sin(kx + wt + ø)B. y1 (x,t) = 0.7ym sin(kx – wt) and y2(x,t) = 0.7ym sin(kxC. y1 (x, t) = 0.7ym sin(kx – wt) and y2(x,t) = 0.7ym sin(ka + wt + ø)D. y1 (x,t) = 0.7ym sin[(kæ/2) – (wt /2)] and y2(x,t) = 0.7ym sin[(kx/2) – (wt/2) + ø]E. y1(x,t) = 0.7ym sin(kx + wt) and y2(x,t) = 0.7ym sin(kx + wt + o)- wt + ø)

Principle of superposition if two or more waves are moving through the…

Answered: appropriately chosen, the t- 3) sin(kx…

appropriately chosen, the t- 3) sin(kx + wt) and y2(x,t) sin(kx – wt) and y2(x,t) sin(kx – wt) and y2(x,t) a sin[(kx/2) – (wt /2)] and | sin(kr +wt) and ualr t)

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 3PQ

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Question

Two traveling sinusoidal waves interfere to produce a wave with the mathematical form
y(x,t) = Ym sin(kx +wt + a).
If the value of ø is appropriately chosen, the two waves might be:
A. Y1 (x,t) = (ym/3) sin(kx + wt) and y2(x,t) = (ym/3) sin(kx + wt + ø)
B. y1 (x,t) = 0.7ym sin(kx – wt) and y2(x,t) = 0.7ym sin(kx
C. y1 (x, t) = 0.7ym sin(kx – wt) and y2(x,t) = 0.7ym sin(ka + wt + ø)
D. y1 (x,t) = 0.7ym sin[(kæ/2) – (wt /2)] and y2(x,t) = 0.7ym sin[(kx/2) – (wt/2) + ø]
E. y1(x,t) = 0.7ym sin(kx + wt) and y2(x,t) = 0.7ym sin(kx + wt + o)
- wt + ø)

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