e represented by Eql 2. (II) Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by D = A sin(kx – wt) %3D D = A sin(kx – wt + ). bns 1oisllineo %3D sin 01 + sin 02 = (a) Use the trigonometric identity 2 sin (0, + 02) cos (0, – 02) to show that the resultant wave is given by %3D CoS (24 o sin kx- 2) D = (2A cos wt + %3D (b) What is the amplitude of this resultant wave? Is the wave purely sinusoidal, or not? (c) Show that constructive interfer- ence occurs if = 0, 2, 4T, and so on, and destructive interference occurs if o = T, 3T, 5T, etc. (d) Describe the resultant wave, by equation and in words, if o = T/2. %3D %3D

e represented by Eql 2. (II) Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by D = A sin(kx – wt) %3D D = A sin(kx – wt + ). bns 1oisllineo %3D sin 01 + sin 02 = (a) Use the trigonometric identity 2 sin (0, + 02) cos (0, – 02) to show that the resultant wave is given by %3D CoS (24 o sin kx- 2) D = (2A cos wt + %3D (b) What is the amplitude of this resultant wave? Is the wave purely sinusoidal, or not? (c) Show that constructive interfer- ence occurs if = 0, 2, 4T, and so on, and destructive interference occurs if o = T, 3T, 5T, etc. (d) Describe the resultant wave, by equation and in words, if o = T/2. %3D %3D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter24: Wave Optics

Section: Chapter Questions

Problem 69AP: Figure P24.69 shows a radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d...

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