- 14 Problem 5 A Student Performs A Multiple Slit Interference Experiment A Coherent Light Source Illuminates Multipl 1 (204.46 KiB) Viewed 26 times
(14%) Problem 5: 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 basier lyy 2.6 m. The uniform spacing between the slits is 5.0 fem. The student makes a careful sketch of the pattern that is displayed, but the choice of the color may not be a good match to the actual light source. TH1111111111111 finh -50.0 40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 50.0 y (cm) 33% Part (a) How many slits are in the barrier? a) ✓ Correct! five A 33% Part (b) What is the wavelength, in nanometers of the light source? X- mn > * 33% Part (c) The student performs additional trials of the experiment where the number of slits in the barrier, N. and the wavelength of the light source, are changed, but all other parameters are held constant. The sketch from one such trial is presented here. 111111111111111111 -50.0 40.0 -20.0 -20.0 -20.0 0.0 10.0 20.0 30.0 40.0 50.0 y con What may we conclude from this sketch concerning that trial of the experiment? O The wavelength decreased, and the mumber of slits remained constant. Both the wavelength and the munber of slits remained constant. O Both the wavelength and the munber of slits increased. O The wavelength decreased, and the mumber of slits increased. O The wavelength increased, and the number of slits remained constant. O The wavelength remained constant, and the mmber of slits decreased. O The wavelength increased, and the wumber of slits decreased. O The wavelength remained constant, and the munber of slits increased. O Both the wavelength and the munber of slits decreased. (14%) Problem 6: Unpolarized light of intensity do - 750 W mºis incident upon three polarizers. The axis of the first polarizer is vertical. The axis of the second polarizer is rotated at an angle = 35' from the vertacal. The axis of the third polarizer is horizontal Randomized Variables 1,- 750 W/m Ray Direction Part (a) What is the intensity of the light in W/m after it passes through the first polarizer? Part (b) What is the intensity of the light in W/m after it passes through the second polarizer? I= Part (c) What is the intensity in Wm of the light after it passes through the third polarizer? Part (d) Write an equation for the intensity of light after it has passed through all three polarizers in terms of the intensity of unpolarized light entering the first polarizar lo and the angle of the second polarizer relative to the first, given that the first and thard polarizers are crossed (90° between then). Use trigonometric identities to simplify and give the results in terms of a single trigonometric function of a = 20 ܗ ܕܐ Part (e) What is the smallest angle 6, in degrees, from the vertical that the second polarizer could be rotated such that the intensity of light passing through all three polarizers is li' - 28 W/m? 8:5