White light falls on a single slit 0.050 mm wide. A screen is placed 1.00 m away. A student first puts a blue-violet filter (\gamma = 441 nm) over the slit, then a red filter (\gamma = 622 nm). The student gauges the width of the central peak, that is, the distance among the two dark bands.
1. Which filter produces the wider band?
2. Compute the width of the central bright band for each of the two filters.