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CALC Intensity Pattern of N Silts, Continued. Part (d) of Challenge Problem 36.66 gives an expression for the intensity in the interference pattern of N identical slits. Use this result to verify the following statements, (a) The maximum intensity in the pattern is N2I0 (b) The principal maximum at the center of the pattern extends from ϕ = −2π/N to ϕ = 2π/N, so its width is inversely proportional to 1/N. (c) A minimum occurs whenever is an integral multiple of 2π/N. except when ϕ is an integral multiple of 2π (which gives a principal maximum), (d) There are (N − 1) minima between each pair of principal maxima, (e) Halfway between two principal maxima. Use intensity can be no greater than I0; that is, it can be no greater than 1/N2 times the intensity at a principal maximum.
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