Twopieces of polarizing material (labeled #1 and #2) are oriented sothat their t

Question

Twopieces of polarizing material (labeled #1 and #2) are oriented sothat their

transmission axes are perpendicular to each other. Unpolarizedlight of intensity Io is

incident on the pair. (a) What is the intensity of the lightbetween the pair? (b) What is

theintensity of the light after the second sheet? (c) A thirdpolarizing sheet (labeled

#3)is now placed between the others so that its transmission axis isoriented at an angle

relative to the transmission axis of the first sheet, as shown inthe figure below. What

isthe intensity of the light between the Sheet #3 and Sheet #2? (d) What is the

intensity of the light after Sheet #2?

Explanation / Answer

b) As the Two pieces of polarizing material (labeled #1and #2) are oriented so that their transmission axes areperpendicular to each other therefore the two polarising sheets arecrossed. Therefore intensity of the light after the secondsheet is zero.
c) The intensity between sheet#3 andsheet#2 is obtained using malus law. therefore  intensitybetween sheet#3 and sheet#2 is(Io/2)cos2
d) Now the intensity after sheet#2is (Io/2)cos2cos2(90-)= (Io/2)cos2sin2

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