Shown in the figure below is single slit experiment. Monochromatic light of wavelength ₁ = 5.08e-07 meters comes in from the left and passes through the slit. The result is a pattern of bright and dark bands visible on a screen at a distance D = 3.96 meters away from the slit. The distance between the central maximum and the first dark fringe is y₁ = 0.0484 meters. Single Slit D Screen Y₁ dark dark Determine the width of the slit. a = x meters If the light is changed to a different color an ,= 3.1e-07 meters, the diffraction pattern changes. What is the new location of the first dark band? Yo X meters

Shown in the figure below is single slit experiment. Monochromatic light of wavelength ₁ = 5.08e-07 meters comes in from the left and passes through the slit. The result is a pattern of bright and dark bands visible on a screen at a distance D = 3.96 meters away from the slit. The distance between the central maximum and the first dark fringe is y₁ = 0.0484 meters. Single Slit D Screen Y₁ dark dark Determine the width of the slit. a = x meters If the light is changed to a different color an ,= 3.1e-07 meters, the diffraction pattern changes. What is the new location of the first dark band? Yo X meters

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 2OQ

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Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?
The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600 nm, and the screen is 2.0 m from the slit. (a) What is the width of the slit? (b) Determine the ratio of the intensity at 4.5 mm from the center of the pattern to the intensity at the center.
What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.
Consider the single-slit diffraction pattern for =600 nm, D=0.025 mm , and x=2.0 m. Find the intensity in terms of Io at =0.5 , 1.0°, 1.5°, 3.0°, and 10.0°.
Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
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When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?
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What are the angular positions of the first and second minima in a diffraction pattern produced by a slit of width 0.20 mm that is illuminated by 400 nm light? What is the angular width of the central peak?
A single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.