Coherent blue-green light of wavelength λ=500nm passes through two identical rectangular slits, each of width a=0.12mm. The slit separation is d=0.48mm.
(a) Determine the lowest-order interference maximum that is completely suppressed (i.e., does not appear on the screen).
(b) Calculate the angular position (measured from the central axis) at which that missing bright fringe would otherwise have occurred.
(c) A screen is placed L=1.5m from the slits. Compute (i) the spacing between adjacent bright fringes near the center of the pattern and (ii) the linear distance on the screen from the central maximum to the location found in part (b). Discuss whether the missing fringe would have been easily distinguishable if it had existed.