You would like to create a reflection grating like the one shown at the right, with an incident angle (?) of 37°. Calculate the number of lines per centimeter that should be etched in the grating for each of the following conditions:(a) A first order diffraction angle (?) of -27° for visible light of 600 nm wavelength. (b) A first order diffraction angle (?) of -27° for infrared light of 3.50 × 10-3 cm wavelength.