During a lecture demonstration of single-slit diffraction, a laser beam that has a wavelength X = 550 [nm] passes through a vertical slit of gap a = 0.2 [mm] and hits a screen. All angles are in degrees. A diffraction pattern is observed on the screen, as shown in the below figure.
During a lecture demonstration of single-slit diffraction, a laser beam that has a wavelength X = 550 [nm] passes through a vertical slit of gap a = 0.2 [mm] and hits a screen. All angles are in degrees. A diffraction pattern is observed on the screen, as shown in the below figure.
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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![During a lecture demonstration of single-slit diffraction, a laser beam that has
a wavelength X = 550 [nm] passes through a vertical slit of gap a = 0.2 [mm] and hits a
screen. All angles are in degrees.
A diffraction pattern is observed on the screen, as shown in the below figure.
0,
w =
L
[m]
Screen
a)dark frin:] Considering λ = 550 [nm] and a = 0.2 [mm], the angle corresponding to the
first dark fringe (0₁) will be given by:
Osin-1(1x550x10
Osin ¹(
0.2x10-³
b) [irst dars] Considering λ = 550 [nm] and a = 0.2 [mm], calculate the angle corresponding
to the first dark fringe (0₁)
0₁ =
c) the scres] If the angle corresponding to the first dark fringe is found to be 0₁ = 0.26°,
and the screen is located at a distance L = 8 [m] from the slit. Calculate y₁, the location of
the first dark fringe.
Y1 =
[m]
Y₁
W
(1/2)×550×10-⁹.
0.2x10-³
d) of tidth c] If the location of the first dark fringe is found to be y₁ = 0.14 [m]. Find w, the
width of the central bright fringe.
Osin-1((1/2)×0.2×10−³.
550X10-9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F281a382a-3eda-40d7-96f9-4bcbf4e14c2e%2F44109fbf-6a0f-40ba-9b08-d0b2d878d0aa%2Frvm1kob_processed.jpeg&w=3840&q=75)
Transcribed Image Text:During a lecture demonstration of single-slit diffraction, a laser beam that has
a wavelength X = 550 [nm] passes through a vertical slit of gap a = 0.2 [mm] and hits a
screen. All angles are in degrees.
A diffraction pattern is observed on the screen, as shown in the below figure.
0,
w =
L
[m]
Screen
a)dark frin:] Considering λ = 550 [nm] and a = 0.2 [mm], the angle corresponding to the
first dark fringe (0₁) will be given by:
Osin-1(1x550x10
Osin ¹(
0.2x10-³
b) [irst dars] Considering λ = 550 [nm] and a = 0.2 [mm], calculate the angle corresponding
to the first dark fringe (0₁)
0₁ =
c) the scres] If the angle corresponding to the first dark fringe is found to be 0₁ = 0.26°,
and the screen is located at a distance L = 8 [m] from the slit. Calculate y₁, the location of
the first dark fringe.
Y1 =
[m]
Y₁
W
(1/2)×550×10-⁹.
0.2x10-³
d) of tidth c] If the location of the first dark fringe is found to be y₁ = 0.14 [m]. Find w, the
width of the central bright fringe.
Osin-1((1/2)×0.2×10−³.
550X10-9
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