Question

Problem 4: There are two polarizers oriented with their polarizing axes 40 and 60 degrees from the horizontal. You run two different experiments sending light through the polarizers. In the first experiment unpolarized light is used and in the second experiment horizontally polarized light is used. If the intensity of light is the same before the first polarizer in both experiments, what do you expect the ratio of the intensities after the second polarizer to be? Assume the 40 degree polarizer is the first one the light passes through. (10 points)

Answer 1

Problem 4: There are two polarizers oriented with their polarizing axes 40 and 60 degrees from the horizontal. You run two different experiments sending light through the polarizers. In the first experiment unpolarized light is used and in the second experiment horizontally polarized light is used. If the intensity of light is the same before the first polarizer in both experiments, what do you expect the ratio of the intensities after the second polarizer to be? Assume the 40 degree polarizer is the first one the light passes through. (10 points) bo ܠܘ at an angle o g 40° angle blu Exp. Let Is be intensity un polarized light, then after Is polarizer it will be Io with horizontal. 2 polarizer Then light passing through IST through Is polarizer & 2nd is 20° then I: 3 Io cos? 20 TI 0.442 Io Ex+ 2 From pokrizer I= Iocos 40° I, 0-587 I. From polarizer I 2=10.587 Io) cos²zo' => Iz - 0.52 Io Ratoo I 0.4 42 10 Ratio= 0.85 I 0-52 I. * I,a 2nd ๆ 2