A double slit separated by $0\mathrm{.}0582$ mm is placed $1\mathrm{.}40$ m from a screen.

$($a$)$ If yellow light of wavelength $586$ nm strikes the double slit, what is the separation between the zeroth$-$order and first$-$order maxima on the screen?

cm

$($b$)$ If blue light of wavelength $413$ nm strikes the double slit, what is the separation between the second$-$order and fourth$-$order maxima?

cm