Answer Happy

1. (25 points) NOTE: THIS PROBLEM HAS PARTS (a) THROUGH (f). IT EXTENDS OVER 2 PAGES. For parts (a), (b), and (c), a curve is drawn in the first graph of each pair. For the other graph in each pair, sketch the curve showing the relationship between the quantities listed for each of the axes. Your graph should be consistent with the first graph in each pair. (a) (4 points) The first graph is due to monochromatic coherent illumination of 2 slits, a distance "d' apart, with negligible slit width. The x axis represents the distance from the central maximum (positive to the right, negative to the left), and the y axis represents the intensity of light on a screen 1 meter from the slits. On the second graph, plot the result for replacing the 2 slits with a large number of slits, each a distance "d'apart, with negligible slit width. (b) (4 points) The first graph is exactly the same as part (a). On the second graph, plot the result for having the 2 slits a distance "20" apart. A f (c) (4 points) The first graph is exactly the same as part (a). On the second graph, plot the result for assuming that the slits have some finite width D, with D<d.
Use the following information for parts (d), (e), and (f). Coherent light of wavelength 5.0 x 10-7 m (in air) is incident perpendicularly on a double slit. The distance between the slits is 4.0 x 10^m, and the width of each slit is negligible. Bright and dark fringes are observed on a screen 2.0 meters away from the slits. (d) (5 points) Calculate the distance between two adjacent bright fringes on the screen. Now the entire double-slit apparatus, including the slits and the screen, is submerged in water, which has an index of refraction 1.3. (e) (5 points) Determine the wavelength and the frequency of the light in the water. (f) (3 points) State whether the distance between the fringes on the screen increases, decreases, or remains the same as compared to when the apparatus was in air. Justify your answer.