For an eye in which the pupil has a radius of \(3.0 \mathrm{~mm}\), what is the smallest angular separation that can be resolved

(a) when two violet \((\lambda=400 \mathrm{~nm})\) objects are placed side by side and \((b)\) when two \(\mathrm{red}(\lambda=650 \mathrm{~nm})\) objects are placed side by side? When the objects are \(100 \mathrm{~m}\) away from this eye, what minimum linear separation distance is needed for resolution

(c) of the two violet objects and \((d)\) of the two red objects?