Question

The atomic emission spectrum of a light source is analyzed with a diffraction grating. A thick line near 589.0 nm is observed. In order to resolve the thick line into two fine lines in first order, you replace with a 2.450 cm long diffraction grating, and you barely observed two distinct first order spectral lines at 589.0 and 589.6 nm on a screen 5.000 m away. a. What is the resolving power of the grating? b. What is the slit width d of the diffraction grating? c. How far apart are the two first order lines on the screen? d. What is the maximum number of the pair of 589.0 nm lines seen on the screen if the screen is infinitely long? screen Diffraction grating - light 5.00 m Figure 4

Answer 1

as Resolving power Ra 시 Ada (58916 589) nm D = 0.6 nm R = 589 06 Ra 981.67 b> RE l BA E MN Na 3170 N - g81.67 lines Na No of lines 2.45 x 10-2 d m יו 981.67 d 2.5 xlo 3 Slit width

су d sino, a mid, d fi а, d Y₂ dz | | D 9. - 9, (А, -е, ) D d х 519-6 - 549 )xi, x 5 ка m 3.5 x ) 5 6-9 x 7. | m. P9 = О• | 2 uw 11 ma dsino = 2. 5xlo 54-9 х 109 Ц2 wu will be observed on ." 42 pairs screen.