Question 1 The below interference/diffraction pattern for two slits is observed on a screen that is 1.5 meters from the slits. Here, red light with a wavelength of 700 nm (7.0x10^{-7} m) that is normally incident on these slits yields this pattern. 9 mm 4 mm Using the locations of interference maxima (e.g., the m=2 maxima lies 4.0 mm from the center of the pattern), determine the distance between these two slits (in millimeters). 0.525 Question 2 For the above pattern, using the location of the diffraction minima (the larger bands that over lap the narrower interference patterns), determine the width of the slits (again, in millimeters). Question 3 If the wavelength of the laser light used to create the pattern in the preceding problem had been 525 nm (5.25x10^{-7} m), what then must have been the width of the slits (again, in millimeters)?
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We can approximate sin(θ) as y/L, where y is the distance from the center of the pattern to the mth maximum and L is the distance from the slits to the screen. So, we have: d*y/L = m*λ Rearranging for d gives: d = m*λ*L/y Substituting the given values (m=2, Show more…
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