In a Young’s double slit experiment, the slits are 2 mm apart and are illuminated with a…

In a Young’s double slit experiment, the slits are 2 mm apart and are illuminated with a mixture of two wavelength \(\lambda_{0}=750 \mathrm{~nm}\) and \(\lambda=900 \mathrm{~mm}\). The minimum distance from the common central bright fringe on a screen 2m from the slits where a bright fringe from one interference pattern coincides with a bright fringe from the other is