A narrow beam of monochromatic light passes through a pair of slits with width a = 20 µm and separation distance d = 90 μm. The screen is located a distance L = 1.3 m from the slits, and the m= +2 bright fringe is observed y = 1.6 cm away from the center of the interference pattern. One of the slits is now covered up. What is the width w of the central bright fringe that appears on the screen? Note: the approxi- mation sintan is valid for this entire problem. For the limit check, investigate what happens to the fringe width w if the slit width a becomes extremely small (a → 0).

University Physics Volume 3
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Chapter4: Diffraction
Section: Chapter Questions
Problem 23P: Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a...
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A narrow beam of monochromatic light passes through a
pair of slits with width a = 20 µm and separation distance
d = 90 μm. The screen is located a distance L = 1.3 m from
the slits, and the m = +2 bright fringe is observed y = 1.6 cm
away from the center of the interference pattern. One of the
slits is now covered up. What is the width w of the central
bright fringe that appears on the screen? Note: the approxi-
mation sin tan is valid for this entire problem. For the
limit check, investigate what happens to the fringe width w if
the slit width a becomes extremely small (a → 0).
Transcribed Image Text:A narrow beam of monochromatic light passes through a pair of slits with width a = 20 µm and separation distance d = 90 μm. The screen is located a distance L = 1.3 m from the slits, and the m = +2 bright fringe is observed y = 1.6 cm away from the center of the interference pattern. One of the slits is now covered up. What is the width w of the central bright fringe that appears on the screen? Note: the approxi- mation sin tan is valid for this entire problem. For the limit check, investigate what happens to the fringe width w if the slit width a becomes extremely small (a → 0).
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