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Can anyone help me solve question4? Only 4 is needed. Thanks HW-162 3. The diagr

ID: 1518427 • Letter: C

Question

Can anyone help me solve question4? Only 4 is needed. Thanks HW-162 3. The diagram at right shows an arbitrary point, point A, that lies near two point sources of waves. In this problem, we consider how the path length difference to point A changes as point A is moved along the dark line shown, away from the sources. Point Z on the diagram below was chosen so that point Zand source s, are equidistant from point A. S, S, Howdo the angles and compare? Explain a. b. Suppose that point A is moved away from the sources along the dark line. In the limit that point A is very far from the sources, what values do the angles , , and approach? On the diagram above, indicate the line segment that represents how much farther point A is from S, than it is from S. Label this distance AD. c. d. The enlarged diagram at right illustrates the limit in which point A is moved very far from the sources To point A (far away) In this limit, find an expression for AD in terms of the angle and the source separation d. (Hint: How do the angles and compare?) d 2 d/2 e. For what values of AD (in terms of 2) will there be: maximum constructive interference? complete destructive interference (i.e., a node)? Tutorials in Introductory Physics CPearson Custom Publishing

Explanation / Answer

as point A moves farther and farther away from the sources , so that the distance between the sources can be neglected such that the waves from two sources can be considered as the a single wave , doing so the path difference become zero .

if we apply this to Young's double slit experiment , distance between the two slits is very small when compared with the point on the screen , if the screen is at farther distance .

and the pathe difference r2-r1 = d sin theta , theta become very small so r2-r1 = minimum.

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