Problem 12:A student performs a multiple-slit interference experiment. A coherent light source illuminates multiple slits in a barrier, and the resulting interference pattern is projected on a screen that is separated from the barrier by a distance which is very large as compared to the slit separation and the wavelength of the light source. A light sensor is used to measure the intensity of the light at the screen, and the student makes a graph of the intensity as a function of the position along the screen as measured from the center of the central maximum. In different trials of the experiment, the number of slits and the wavelength of the coherent light may differ, but the remaining parameters such as the slit separations and the distance from the barrier to the screen remain constant.

Part (a) Select the graph with the greatest wavelength of coherent light. C 0 .50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 30.0 - 50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 30.0 0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 30.0 " (em) " (er) " (em) 50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 50.0 0.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 50.0 -50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 3 & (em) Part (b) Select the graph with the shortest wavelength of coherent light. C 20.0 -10.6 0.0 10.0 20.0 30.0 40.0 3 .50.0 -40.0 -30.0 -20.0 -10.0 0 -50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 30.0 & (orn) & (or) -50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 30.0 & (or) 50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 50.0 50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 50.0 50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 50.0 & (er) 3 (em) & (em) Part (c) Select the two graphs that correspond to the same wavelength. 30.0 40.8 40.6 20.0 10.0 0.0 190 20.6 30.0 40.0 36.0 (cm) 30.6 40.0 -36.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 36.0 -30.0 40.0 -30.0 -23.0 -10.0 0.0 10.6 20.6 20.0 40.0 30.6 -see the 320 20.0 -260 D.6 10.6 26.0 268 46.0 30.0