College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Problem 9 You shine your favorite laser pointer (which has a wavelength of 450 nm) towards two slits a
distance d apart. You then observes the second order (m=2) bright fringe to be 5.0 cm away from the central
bright maximum on a screen 4.0 meters away. You now shine your second favorite laser pointer (which has
a wavelength of 530nm) onto the slits, how far away from the central bright maximum will the third order
(m=3) bright fringe be located?
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Transcribed Image Text:Problem 9 You shine your favorite laser pointer (which has a wavelength of 450 nm) towards two slits a distance d apart. You then observes the second order (m=2) bright fringe to be 5.0 cm away from the central bright maximum on a screen 4.0 meters away. You now shine your second favorite laser pointer (which has a wavelength of 530nm) onto the slits, how far away from the central bright maximum will the third order (m=3) bright fringe be located?
Part 1: Double-Slit Interference
In lecture you studied Thomas Young's classic double-slit experiment. A basic analysis of this experiment follows. When
monochromatic and coherent (i.e. in-phase) light is incident on a pair of slits, the transmitted light appears as two separate
sources that propagate, in-phase, to a distant screen. The resulting pattern on the screen (Figure 1) consists of a series
of bright and dark stripes called "interference" fringes. The fringes result from the different path lengths taken by the two
separate waves. For an “in-phase" condition to exist (bright stripe on the screen; "constructive interference"), the path length
difference AL must be an integer number of wavelengths, mλ. Conversely, if the path length difference for the two waves is
exactly m(), the waves will effectively cancel each other at the screen ("destructive interference"), forming a dark stripe.
The exact fringe pattern observed on a fixed screen depends on both the wavelength of incident light and the double-slit
spacing.
Incoming Light
AL
D
Figure 1: Geometric construction of Young's Double-Slit Experiment.
1
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Transcribed Image Text:Part 1: Double-Slit Interference In lecture you studied Thomas Young's classic double-slit experiment. A basic analysis of this experiment follows. When monochromatic and coherent (i.e. in-phase) light is incident on a pair of slits, the transmitted light appears as two separate sources that propagate, in-phase, to a distant screen. The resulting pattern on the screen (Figure 1) consists of a series of bright and dark stripes called "interference" fringes. The fringes result from the different path lengths taken by the two separate waves. For an “in-phase" condition to exist (bright stripe on the screen; "constructive interference"), the path length difference AL must be an integer number of wavelengths, mλ. Conversely, if the path length difference for the two waves is exactly m(), the waves will effectively cancel each other at the screen ("destructive interference"), forming a dark stripe. The exact fringe pattern observed on a fixed screen depends on both the wavelength of incident light and the double-slit spacing. Incoming Light AL D Figure 1: Geometric construction of Young's Double-Slit Experiment. 1
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