Light with a single wavelength of 2 = 625 nm goes through two narrow slits. The light strikes a screen which is a distance L = 2.17 m away. The resulting light intensity pattern is shown below. Each slit has a width of "a", and the separation of the slits is "d". a a. The interference pattern has its 4-th dark spot (destructive interference) at a distance of y4 = 4.17 mm from the central bright spot. What is the separation "d" between the two slits? Convert your answer to millimeters. (Be careful. The first dark spot is m = 0!) mm b. What is the angle, 6, to this 4-th dark spot of the interference pattern? degrees c. If the 4-th dark spot of the interference pattern is at the same location of the first dark spot of the diffraction pattern, what is the width of each slit "a"? Convert your answer to millimeters. mm

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
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Chapter27: Wave Optics
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Problem 14P: Coherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1,...
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Light with a single wavelength of 1 = 625 nm goes through two narrow slits. The light strikes a screen which is a distance
L = 2.17 m away. The resulting light intensity pattern is shown below. Each slit has a width of "a", and the separation of
the slits is "d".
a
a
L
a. The interference pattern has its 4-th dark spot (destructive interference) at a distance of y4 = 4.17 mm from the central
bright spot. What is the separation "d" between the two slits? Convert your answer to millimeters. (Be careful. The first
dark spot is m = 0!)
mm
b. What is the angle, 0, to this 4-th dark spot of the interference pattern?
degrees
c. If the 4-th dark spot of the interference pattern is at the same location of the first dark spot of the diffraction pattern,
what is the width of each slit "a"? Convert your answer to millimeters.
mm
Transcribed Image Text:Light with a single wavelength of 1 = 625 nm goes through two narrow slits. The light strikes a screen which is a distance L = 2.17 m away. The resulting light intensity pattern is shown below. Each slit has a width of "a", and the separation of the slits is "d". a a L a. The interference pattern has its 4-th dark spot (destructive interference) at a distance of y4 = 4.17 mm from the central bright spot. What is the separation "d" between the two slits? Convert your answer to millimeters. (Be careful. The first dark spot is m = 0!) mm b. What is the angle, 0, to this 4-th dark spot of the interference pattern? degrees c. If the 4-th dark spot of the interference pattern is at the same location of the first dark spot of the diffraction pattern, what is the width of each slit "a"? Convert your answer to millimeters. mm
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