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Phasor Diagram for Eight Slits. An interference pattern is produced by eight equally spaced narrow slits. The caption for Fig. 36.14 claims that minima occur for ϕ = 3π/4, π/4, 3π/2, and 7π/4. Draw the phasor diagram for each of these four cases, and explain why each diagram proves that there is in fact a minimum. In each case, for which pairs of slits is there totally destructive interference?
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