Suppose that y1(x,t) and y2(x,t) are two independent wave functions, which describe the displacements  vertical (in meters) of a string, as a function of position x (in meters) and time t (in seconds):   (See image) For what values ​​of the phase constant ϕ1 does destructive interference occur?   Compliment: According to an article I've read on the internet, destructive interference occurs when ϕ1-ϕ2=180° What I did was : ϕ1+(π/3)=π Is it wrong?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter14: Special Theory Of Relativity
Section: Chapter Questions
Problem 14.1P
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Suppose that y1(x,t) and y2(x,t) are two independent wave functions, which describe the displacements
 vertical (in meters) of a string, as a function of position x (in meters) and time t (in seconds):

 

(See image)

For what values ​​of the phase constant ϕ1 does destructive interference occur?

 

Compliment:

According to an article I've read on the internet, destructive interference occurs when ϕ1-ϕ2=180°

What I did was :

ϕ1+(π/3)=π

Is it wrong?

 

 

y₁(x,t) = 0,03 cos (x + 2πt + ₁),
y2(x,t) = 0,03 cos (x+2πt),
Transcribed Image Text:y₁(x,t) = 0,03 cos (x + 2πt + ₁), y2(x,t) = 0,03 cos (x+2πt),
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