Halliday, Resnick & Walker — Diffraction: Problem 50

50 Figure 36-40 gives the parameter \(\beta\) of Eq. 36-20 versus the sine of the angle \(\theta\) in a two-slit interference experiment using light of wavelength 440 nm. The vertical axis scale is set by \(\beta_s = 80.0 \text{ rad}\). What are (a) the slit separation, (b) the total number of interference maxima (count them on both sides of the pattern's center), (c) the smallest angle for a maxima, and (d) the greatest angle for a minimum? Assume that none of the interference maxima are completely eliminated by a diffraction minimum.