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,....
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)...
Related questions
Concept explainers
Interference of sound
Seiche
A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.
Question
![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 |
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,....](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7df285f0-afa3-4aac-9d1b-f28ea87b2a9f%2Fe41e6b02-fceb-4367-b733-fc325516c65f%2Fqtnm8xo_processed.png&w=3840&q=75)
Transcribed Image Text: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 |
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,....
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON