(a) Show that the positions of the interference minima on a screen a large distance L away...

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(a) Show that the positions of the interference minima on a screen a large distance L away from three equally spaced sources (spacing d, with d >> λ) are given approximately by

Y = nλL/3d

Where n = 1, 2, 4, 5, 7, 8, 10, . . .

That is, n is not a multiple of 3.

(b) For L = 1 m, λ = 5 × 10–7 m, and d = 0.1 mm, calculate the width of the principal interference maxima (the distance between successive minima) for three sources.

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