Adiffraction grating has a diffraction grating constant d = 2000 nm. (a) identify which of the following colors (wavelengths) can be observed in the third-order diffraction by calculating the angles at which they can be observed: 11 = 750 nm; 12 = 700 nm; 13 = 650 nm 14 = 600 nm; 15 = 560 nm; 16 = 500 nm; and 17 = 450 nm. (b) which colors, if any, overlap (i. e., are located at the same position) in the third order and fourth order diffractions? (a) 03 = 87°, 04 = 80°, 05 = 69°, 06 = 56.4°, 07 = 44.4° (b) 15 in the third-order overlaps with 17 in the fourth-order (a) 63 = 83°, 04 = 70°, 05 = 60°, 06 = 50°, 67 = 45° (b) do in the third-order overlaps with 15 in the fourth-order o (a) 3 = 90°, 04 = 75°, 05 = 69°, 06 = 56.4°, 07 = 41.8° (b) 44 in the third-order overlaps with 17 in the fourth-order o (a) 03 = 77.2°, 04 = 64.2°, 05 = 57.1°, 06 = 48.6° 07 = 42.5° (b) 14 in the third-order overlaps with 17 in the fourth-order (a) 63 = 67°, 84 = 530, 05 = 46°, 06 = 33.6°, 07 = 30.8°