A diffraction pattern is produced by light on a single slit of width $1\mathrm{.}54$ mm $.$ The distance from the central maximum and the first dark fringe is $\backslash ($ y$\_\{1\}\backslash ).$ A similar diffraction pattern is produced by the same light on a single slit of width $3\mathrm{.}27$ mm but the distance to the first dark fringe is $\backslash ($ y$\_\{2\}\backslash ).$ What is the ratio of the two first order dark fringes, $\backslash ($ y$\_\{1\}/$ y$\_\{2\}\backslash )?$ Assume that the angle between the central axis maximum and the first order minimum for both slits is small.