A beam of (550-mathrm{nm}) light illuminates six parallel slits spaced (0.125 mathrm{~mm}) apart, and the resulting pattern

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A beam of \(550-\mathrm{nm}\) light illuminates six parallel slits spaced \(0.125 \mathrm{~mm}\) apart, and the resulting pattern is viewed on a screen.

(a) What are the angular positions of the first-order and second-order principal maxima?

(b) What are the angular positions of all the dark fringes between the central maximum and the first-order principal maximum? Between the central maximum and the first-order principal maximum,

(c) how many dark fringes (minima) are there and

(d) how many secondary maxima?

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