A spectrometer has a spectral range of 400 to 700 nm. The beam coming from the light source has a diameter of 10 mm. You have three options for using transmissive diffraction gratings with groove densities of: 200, 800, and 1600 lines/mm. Calculate the incident angle of the beam onto the diffraction grating for each option using the Littrow configuration, and then calculate their corresponding number of resolvable points