2. Diffraction gratings. (a) Light with wavelengths of 400 nm and 700 nm is incident normal to a diffraction grating that has 400 slits/mm. What is the angular separation of the diffracted peaks for these two wavelengths in (i) first order and (ii) second order?
(b) Newport Corporation, a manufacturer of optical equipment, sells a diffraction grating for use with wavelengths near 500 nm that has 1800 slits/mm, and that has a diffracting area of (12.5 mm) x (12.5 mm). For wavelengths near 500 nm, what is the smallest separation in wavelength that can be resolved in first order using such a grating?