COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 13, Problem 11QAP
To determine
Explain the concept of phase difference and predict the outcome of two identical waves interference.
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Suppose that the two waves in the figure have wavelength 451 nm in air. What multiple of A gives their phase difference when they
emerge if (a) n₁1.68 and n₂-1.78, and L-7.67 um: (b) n₁-180 and n₂-1.90, and L-7.67 μm; and (c) ny-1.77 and n-1.97, and L-
3.39 pm
My
My
(a) Number
(b) Number
(c) Number
Units
Units
Units
Given V = 20 sin (50trt - 10°) and I = 20 cos (50Trt - 22°). Calculate the
phase difference between the two waves and determine which one
leads.
Select one:
O 78.0 degrees, I leads V
-32.00 degrees, I leads V
-32.00 degrees, V leads I
78.00 degrees, V leads I
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
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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 +
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(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
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Chapter 13 Solutions
COLLEGE PHYSICS
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