In a double$-$slit experiment, the distance between the slits is $4\mathrm{.}6$mm$4\mathrm{.}6\backslash ,\backslash$text$\{$mm$\}4\mathrm{.}6$mm$,$ and the slits are $1\mathrm{.}5$m$1\mathrm{.}5\backslash ,\backslash$text$\{$m$\}1\mathrm{.}5$m from the screen. Two interference patterns can be seen on the screen: one due to light of wavelength $410$nm$410\backslash ,\backslash$text$\{$nm$\}410$nm$,$ and the other due to light of wavelength $570$nm$570\backslash ,\backslash$text$\{$nm$\}570$nm$.$