1 formulas, justifications, calculations, substitutions, reasoning, and diagrams as needed. You must To obtain any points for each problem, you must include all relevan organize the steps of your work to be neat and clear. Consider a double slit interference pattern. When a beam oflight having a frequency 017434;:1014 H2 illuminates the double slit, a third- is produced at 28.3 cm above the center of the screen which is placed at a distance of 1.0 m from the double slit. (a) What is the separation between the slits? (b) When the same beam passes through a diraction grating, a secondorder principal maximum is observed at an angle of 15.0\". How many lines per centimeter does this grating have? (c) Monochromatic light of unknown wavelength passes through a slit of width 10-pm. The height, above the center of a screen, ofthe third dark fringe of the diffraction pattern is 36 cm; knowing that the screen is placed at 2.5 m from the slit, what is the frequency of the light? (at) What is the intensity at a point on the screen 105 cm above the central axis in terms of to, the intensity at the center of the diffraction pattern? (e) What is the width on the Screen of the central maximum (peak)? (20 points) order maximum (bright fringe)