During a lecture demonstration of single-slit diffraction, a laser beam that has a wavelength =...

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During a lecture demonstration of single-slit diffraction, a laser beam that has a wavelength À = 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. 1x550x10 0.2x10-¹ Osin (¹) L a) [2 points] Considering λ = 550 [nm] and a = 0.2 [mm], the angle corresponding to the first dark fringe (0) will be given by: Osin((1/2)x550x10 Screen- W= W 0.2x10-³ Osin((1/2x02x10-³ 550x10 b) [3 points] Considering À = 550 [nm] and a = 0.2 [mm], calculate the angle corresponding to the first dark fringe (0) 0₁ = c) [5 Points] 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] d) [5 Points] 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. [m] During a lecture demonstration of single-slit diffraction, a laser beam that has a wavelength À = 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. 1x550x10 0.2x10-¹ Osin (¹) L a) [2 points] Considering λ = 550 [nm] and a = 0.2 [mm], the angle corresponding to the first dark fringe (0) will be given by: Osin((1/2)x550x10 Screen- W= W 0.2x10-³ Osin((1/2x02x10-³ 550x10 b) [3 points] Considering À = 550 [nm] and a = 0.2 [mm], calculate the angle corresponding to the first dark fringe (0) 0₁ = c) [5 Points] 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] d) [5 Points] 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. [m]

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