An interference pattern is produced by eight equally spaced narrow slits. The caption for Fig. 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? Phasor diagrams for light passing through eight narrow slits. Intensity maxima occurwhen the phase difference o = 0, 27, 4™, . . . . Between the maxima at ø = 0 and ø = 2 areseven minima, corresponding to o = T/4, T/2, 3™/4, 1, 5T/4, 31/2, and 77/4. Can you drawphasor diagrams for the other minima?(a) Phasor diagram for ø = T(b) Phasor diagram for o =(c) Phasor diagram for o =2o = T = 180°= 90°2= 45°

Given: Minima occurs at ϕ = 3π/4, π/4, 3π/2, and 7π/4

Phasor diagrams for light passing through eight narrow slits. Intensity maxima occur when the phase difference o = 0, 27, 4™, . . . . Between the maxima at ø = 0 and ø = 2 are seven minima, corresponding to o = T/4, T/2, 3™/4, 1, 5T/4, 31/2, and 77/4. Can you draw phasor diagrams for the other minima? (a) Phasor diagram for ø = T (b) Phasor diagram for o = (c) Phasor diagram for o = 2 o = T = 180° = 90° 2 = 45°

Phasor diagrams for light passing through eight narrow slits. Intensity maxima occur when the phase difference o = 0, 27, 4™, . . . . Between the maxima at ø = 0 and ø = 2 are seven minima, corresponding to o = T/4, T/2, 3™/4, 1, 5T/4, 31/2, and 77/4. Can you draw phasor diagrams for the other minima? (a) Phasor diagram for ø = T (b) Phasor diagram for o = (c) Phasor diagram for o = 2 o = T = 180° = 90° 2 = 45°