narrow slits, and a screen are arranged as shown in the top-view a. In the space above the diagram at right, clearly label each of Point R marks a minimum to the right of point Q. The diagram at right shows the pattern that appears on a distant screen. Point P, the center of the pattern, and point Q are maxima. diagram below right. Q R the lettered points according to AD, the difference in distances Grom the slits to that point. Express each value of AD in terms of A. Center of screen b. The screen is 2.2 m from the slits, and the distance from point P to point R is 1.6 mm. Top view (not to scale) Determine the distance between the slits in terms of 2. Show your work and describe any approximations that you make in answering this question. Screen Mask with 2 slits To distant point source

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Chapter4: Diffraction
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Problem 8CQ: Shown below is the central part of the interference pattern for a pure wavelength of red light...
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A and b please
narrow slits, and a screen are arranged as shown in the top-view
The diagram at right shows the pattern that appears on a distant
Point R marks a minimum to the right of point Q.
screen. Point P, the center of the pattern, and point Q are maxima.
llm
diagram below right.
WPQR
In the space above the diagram at right, clearly label each of
the lettered points according to AD, the difference in distances
from the slits to that point. Express each value of AD in terms
a.
of 2.
Center of screen
h. The screen is 2.2 m from the slits, and the distance from
point P to point R is 1.6 mm.
Determine the distance between the slits in terms of A. Show
vour work and describe any approximations that you make in
answering this question.
Top view (not to scale)
Screen
boaorom ai igil ni od o dignale
Mask
with
2 slits
To distant
point
source
our onin
c. Suppose that the width of the right slit were decreased (without changing the distance
between the centers of the slits).
i. Would the intensity at each of the following points increase, decrease, or stay the same?
In each case, explain your reasoning.
• point Q
• point R
Juordiw) Insomna sm or yd bouob alll to ibi
ii. The graph of intensity (I) versus 0 shown at right
corresponds to the above double-slit experiment. (The
angle 0 is measured relative to the normal to the screen.)
On the graph at right, show how the intensity graph would
be different if the right slit were made narrower.
©Pearson Custom Publishing
Tutorials in Introductory Physics
McDermott, Shaffer, & P.E.G., U. Wash.
Updated Preliminary Second Edition, 2011
Transcribed Image Text:narrow slits, and a screen are arranged as shown in the top-view The diagram at right shows the pattern that appears on a distant Point R marks a minimum to the right of point Q. screen. Point P, the center of the pattern, and point Q are maxima. llm diagram below right. WPQR In the space above the diagram at right, clearly label each of the lettered points according to AD, the difference in distances from the slits to that point. Express each value of AD in terms a. of 2. Center of screen h. The screen is 2.2 m from the slits, and the distance from point P to point R is 1.6 mm. Determine the distance between the slits in terms of A. Show vour work and describe any approximations that you make in answering this question. Top view (not to scale) Screen boaorom ai igil ni od o dignale Mask with 2 slits To distant point source our onin c. Suppose that the width of the right slit were decreased (without changing the distance between the centers of the slits). i. Would the intensity at each of the following points increase, decrease, or stay the same? In each case, explain your reasoning. • point Q • point R Juordiw) Insomna sm or yd bouob alll to ibi ii. The graph of intensity (I) versus 0 shown at right corresponds to the above double-slit experiment. (The angle 0 is measured relative to the normal to the screen.) On the graph at right, show how the intensity graph would be different if the right slit were made narrower. ©Pearson Custom Publishing Tutorials in Introductory Physics McDermott, Shaffer, & P.E.G., U. Wash. Updated Preliminary Second Edition, 2011
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