(Solved): In a double-slit experiment, the slit separation is \( 2.0 \mathrm{~mm} \), two wavelengths of \( ...

In a double-slit experiment, the slit separation is \( 2.0 \mathrm{~mm} \), two wavelengths of \( 910 \mathrm{~nm} \) and \( 650 \mathrm{~nm} \) illuminate the slits, the screen is placed \( 2.6 \) meters away from the slits. At what distance from the central maximum on the screen will a dark fringe from one pattern first coincide with a dark fringe from the other? Express your answer with the appropriate units.