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.

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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
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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