A diffraction pattern is produced by light on a single slit of width $1\mathrm{.}13$ mm$.$ The distance from the central maximum and the second dark fringe is y$1.$ A similar diffraction pattern is produced by the same light on a single slit of width $3\mathrm{.}74$ mm but the distance to the second dark fringe is y$2.$ What is the ratio of the two first order dark fringes, y$1/$y$2?$ Assume that the angle between the central axis maximum and the first order minimum for both slits is small.