A technician is performing Young's double-slit experiment for her supervisor. She directs a beam of monochromatic light to a pair of parallel slits, which are separated by 0.102 mm from each other. The portion of this light that passes through the slits goes on to form an interference pattern upon a screen, which is 4.50 meters distant. The light is characterized by a wavelength of 588 nm. (a) What is the optical path-length difference (in µm) that corresponds to the fourth-order bright fringe on the screen? (This is the fourth fringe, not counting the central bright band, that one encounters moving from the center out to one side.)  µm (b) What path-length difference (in µm) corresponds to the fourth dark fringe that one encounters when moving out to one side of the central bright fringe?  µm

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter35: Diffraction And Interference
Section: Chapter Questions
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A technician is performing Young's double-slit experiment for her supervisor. She directs a beam of monochromatic light to a pair of parallel slits, which are separated by 0.102 mm from each other. The portion of this light that passes through the slits goes on to form an interference pattern upon a screen, which is 4.50 meters distant.
The light is characterized by a wavelength of 588 nm.
(a)
What is the optical path-length difference (in µm) that corresponds to the fourth-order bright fringe on the screen? (This is the fourth fringe, not counting the central bright band, that one encounters moving from the center out to one side.)
 µm
(b)
What path-length difference (in µm) corresponds to the fourth dark fringe that one encounters when moving out to one side of the central bright fringe?
 µm
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