A double slit separated by $0\mathrm{.}0580$ mm is placed $1\mathrm{.}50$ m from a screen. $($a$)$ If yellow light of wavelength $588$ nm strikes the double slit, what is the separation between the zeroth$-$order and first$-$order maxima on the screen? $($b$)$ If blue light of wavelength $412$ nm strikes the double slit, what is the separation between the second$-$order and fourth$-$order maxima?