Two waves on a string are given byy₁(x, t) = 0 cos(20t+20x) in cm,y₂(x, t) = 0 cos(20t – 20x) in cmwhere x is in centimeters. The waves are said to interfere constructively when their superposition |ys|=|y₁+y₂| is a maximum, and they interfere destructively when |ysy1+y2 is a minimum.(a) At t = (π/60) s, at what location à do the two waves interfere constructively, and what is the corresponding value of lysl?(b) At t = (π/60) s, at what location à do the two waves interfere destructively, and what is the corresponding value of lys?Answers:(a) |ys|max =(b) |ys min=cm at x = π/cm at x =nn/+ Nπ/cm, where n = 0, 1, 2,....cm, where n = 0, 1, 2,....

Two waves on a string are given by y₁(x, t) = 0 cos(20t + 20x) in cm, y2(x, t) = 0 cos(20t - 20x) in cm where x is in centimeters. The waves are said to interfere constructively when their superposition |ys|=|y₁+y2| is a maximum, and they interfere destructively when | Ys|y1+y2| is a minimum. (a) At t = (π/60) s, at what location a do the two waves interfere constructively, and what is the corresponding value of lys? (b) At t = (π/60) s, at what location à do the two waves interfere destructively, and what is the corresponding value of lys? Answers: (a) |ys|max = (b) |ys|min = cm at x = cm at x = TT/ nn/ + Nπ/ cm, where n = 0, 1, 2, .... cm, where n = 0, 1, 2,....

Two waves on a string are given by y₁(x, t) = 0 cos(20t + 20x) in cm, y2(x, t) = 0 cos(20t - 20x) in cm where x is in centimeters. The waves are said to interfere constructively when their superposition |ys|=|y₁+y2| is a maximum, and they interfere destructively when | Ys|y1+y2| is a minimum. (a) At t = (π/60) s, at what location a do the two waves interfere constructively, and what is the corresponding value of lys? (b) At t = (π/60) s, at what location à do the two waves interfere destructively, and what is the corresponding value of lys? Answers: (a) |ys|max = (b) |ys|min = cm at x = cm at x = TT/ nn/ + Nπ/ cm, where n = 0, 1, 2, .... cm, where n = 0, 1, 2,....

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section: Chapter Questions

Problem 86PQ

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