Part DWhat are the path-length differences at Points A, C, and D (respectively, Ad, Adc, and Ado)? (Figure 3)Enter your answers numerically in terms of A separated by commas. For example, if the path-length differences at Points A, C, and D are 4A, X/2, and A, respectively, enter 4, .5, 1.AdA. Adc. Adp =for Part for Part Do for Part&redo for Cart D resor Part D keyboard shortcuts for Part D help for Part DvecA, A., A Learning Goal:To gain an understanding of constructive and destructive interference.Consider two sinusoidal waves (1 and 2) of identical wavelength A, period T, andmaximum amplitude A. A snapshot of one of these waves taken at a certain time isdisplayed in the figure below. (Figure 1) Let yi (z, t) and 2 (z, t) represent thedisplacement of each wave at position at time t. If these waves were to be in the samelocation (2) at the same time, they would interfere with one another. This would result in asingle wave with a displacement y (z, t) given byy(z, t) = y₁ (z, t) + y₂(x, t).This equation states that at time t the displacement y (z, t) of the resulting wave atposition z is the algebraic sum of the displacements of the waves 1 and 2 at position z attime t. When the maximum displacement of the resulting wave is less than the amplitude ofthe original waves, that is, when ymax < A, the waves are said to interfere destructivelybecause the result is smaller than either of the individual waves. Similarly, whenymax > A, the waves are said to interfere constructively because the resulting wave islarger than either of t individual waves. Notice that 03/max 2.A.FigureA.BASourceDCSaufce23 of 4

Answered: Image /qna-images/answer/8ec538d4-24e5-4278-bca7-1935e36cbf2c.jpg

What are the path-length differences at Points A, C, and D (respectively. Ad. Adc. and Ado)? (Eigure 3) Enter your answers numerically in terms of A separated by commas. For example, if the path-length differences at Points A, C, and D are 4A, X/2, and X, respectively, enter 4,.5,1. for Part for Part do for Part redo foart D resor Part D keyboard shortcuts for Part D help for Part D AdA. Ade. Adp A. A. A

What are the path-length differences at Points A, C, and D (respectively. Ad. Adc. and Ado)? (Eigure 3) Enter your answers numerically in terms of A separated by commas. For example, if the path-length differences at Points A, C, and D are 4A, X/2, and X, respectively, enter 4,.5,1. for Part for Part do for Part redo foart D resor Part D keyboard shortcuts for Part D help for Part D AdA. Ade. Adp A. A. A

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)...

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Question

Part D
What are the path-length differences at Points A, C, and D (respectively, Ad, Adc, and Ado)? (Figure 3)
Enter your answers numerically in terms of A separated by commas. For example, if the path-length differences at Points A, C, and D are 4A, X/2, and A, respectively, enter 4, .5, 1.
AdA. Adc. Adp =
for Part for Part Do for Part&redo for Cart D resor Part D keyboard shortcuts for Part D help for Part D
vec
A, A., A

Learning Goal:
To gain an understanding of constructive and destructive interference.
Consider two sinusoidal waves (1 and 2) of identical wavelength A, period T, and
maximum amplitude A. A snapshot of one of these waves taken at a certain time is
displayed in the figure below. (Figure 1) Let yi (z, t) and 2 (z, t) represent the
displacement of each wave at position at time t. If these waves were to be in the same
location (2) at the same time, they would interfere with one another. This would result in a
single wave with a displacement y (z, t) given by
y(z, t) = y₁ (z, t) + y₂(x, t).
This equation states that at time t the displacement y (z, t) of the resulting wave at
position z is the algebraic sum of the displacements of the waves 1 and 2 at position z at
time t. When the maximum displacement of the resulting wave is less than the amplitude of
the original waves, that is, when ymax < A, the waves are said to interfere destructively
because the result is smaller than either of the individual waves. Similarly, when
ymax > A, the waves are said to interfere constructively because the resulting wave is
larger than either of t individual waves. Notice that 03/max 2.A.
Figure
A.
BA
Source
D
C
Saufce2
3 of 4

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