You are designing a diffraction grating, and have decided that when the grating is used with a white light source, both the entire first and second order rainbows (visible part of the spectrum) should be visible within 30° of the central maximum. In order to have the machine shop produce your grating, you need to calculate the line density of the grating. You also wonder how many complete rainbows could potentially be seen with this grating. Your textbook says that the visible light has wavelengths between 400 and 700 nm.

You are designing a diffraction grating, and have decided that when the grating is used with a white light source, both the entire first and second order rainbows (visible part of the spectrum) should be visible within 30° of the central maximum. In order to have the machine shop produce your grating, you need to calculate the line density of the grating. You also wonder how many complete rainbows could potentially be seen with this grating. Your textbook says that the visible light has wavelengths between 400 and 700 nm.