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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

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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