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Two waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?

Two waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Two waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?
Transcribed Image Text:Two waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?
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