Two sinusoidal waves are moving through a medium in the negative x-direction. Each of the waves has an amplitude of 6 cm, a wavelength of 3 m, and a frequency of 1 Hz. The phase difference between the two waves is p = T/3 rad. What is the transverse displacement (y_res = ?) of an element on the resultant %3! wave at t = 0.05 sec and at a position x = 0.4 m? %3D O y_res = 9 cm O yres = 6 cm O y_res = 10.33 cm O y_res = 4.85 cm O y_res = 5.23 cm

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)...
icon
Related questions
Question

6

Two sinusoidal waves are moving through a medium in the negative x-direction.
Each of the waves has an amplitude of 6 cm, a wavelength of 3 m, and a
frequency of 1 Hz. The phase difference between the two waves is p = T/3 rad.
What is the transverse displacement (y_res = ?) of an element on the resultant
wave at t = 0.05 sec and at a position x = 0.4 m?
%3D
O y_res = 9 cm
O y_res = 6 cm
O y_res = 10.33 cm
O y_res = 4.85 cm
!!
y_res = 5.23 cm
Two waves travelling in the same direction are described by the wave functions:
y1 (x,t) = 0.03 sin(rx - 10rnt) and y2 (x.t) = 0.03 sin(rox - 10rtt + 10r/3), where x and
y are in meters and t is in seconds. Which of the following wave functions
represents the resultant wave due to the interference between the two waves?
O y_res (x.t) = 0.03sin(rx - 10nt + 5r/3)
O y_res (x,t) = 0.06sin(nx - 10nt + T/3)
%3D
O y_res (x,t) = 0.03V3sin(nx - 10nt + T/6)
O y_res (x,t) = 0.03sin(nx - 10nt + n/3)
O y_res (x.t) = 0.06sin(nx - 10nt + n/6)
Transcribed Image Text:Two sinusoidal waves are moving through a medium in the negative x-direction. Each of the waves has an amplitude of 6 cm, a wavelength of 3 m, and a frequency of 1 Hz. The phase difference between the two waves is p = T/3 rad. What is the transverse displacement (y_res = ?) of an element on the resultant wave at t = 0.05 sec and at a position x = 0.4 m? %3D O y_res = 9 cm O y_res = 6 cm O y_res = 10.33 cm O y_res = 4.85 cm !! y_res = 5.23 cm Two waves travelling in the same direction are described by the wave functions: y1 (x,t) = 0.03 sin(rx - 10rnt) and y2 (x.t) = 0.03 sin(rox - 10rtt + 10r/3), where x and y are in meters and t is in seconds. Which of the following wave functions represents the resultant wave due to the interference between the two waves? O y_res (x.t) = 0.03sin(rx - 10nt + 5r/3) O y_res (x,t) = 0.06sin(nx - 10nt + T/3) %3D O y_res (x,t) = 0.03V3sin(nx - 10nt + T/6) O y_res (x,t) = 0.03sin(nx - 10nt + n/3) O y_res (x.t) = 0.06sin(nx - 10nt + n/6)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Interference of sound
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
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON