A certain ray of light, composed of two frequencies, is directed at a diffraction grating with a spacing of d = 1.70 pm. After emerging from the grating there is a green line at 18.3 (m = 1) and a red line at 22.5 (m = 1). (a) Is the small angle approximation valid for analyzing the m = 1 lines mentioned above? (b) What are the wavelengths of the two different colors above? (c) Find the angles for the m = 2 green line and red line. (d) Find the angles for the m = 3 green line and red line. (e) The figure shows the grating and a semi-circular screen the separated wavelengths will fall on. On the figure, indicate where all the green and red lines are on the semi-circular screen. Label the angles and the order, m, for each line