(Solution) - After a laser beam passes through two thin parallel slits -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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After a laser beam passes through two thin parallel slits, the first completely dark fringes occur at ± 15.0° with the original direction of the heam, as viewed on a screen far from the slits.
(a) What is the ratio of the distance between the slits to the wavelength of the light illuminating the slits?
(b) What is the smallest angle, relative to the original direction of the laser beam, at which the intensity of the light is 10 the maximum intensity on the screen?