There are hand-held spectrometers which will separate the colors of light into a "rainbow" using a diffraction grating. Using a single-slit arrangement will provide a MUCH less precise separation - but let's explore what that would do. The width of our single slit will be 0.1 mm. (a) What is the angular width (in degrees) of the central maximum of red light (λ=700 nm) ? (b) What is the angular width of the central maximum of violet light (λ=400 nm) ? (c) What is the angular distance to the first side maximum for the violet light? (HINT: It will be midway between the first and second minima.) (d) What is the angular distance to the first side maximum for the red light? (e) Will this setup produce a visible rainbow? Why or why not?