Consider the following arrangement of visible light polarizers similar to what s

Question

Consider the following arrangement of visible light polarizers similar to what shown in the video above. Suppose polarizer B were not present and that polarizers A and C are at an angle of 74degree. What fraction of the initially unpolarized light incident on A passes through C? Suppose polarizers A and C are oriented parallel to each other and polarizer B (now in place) is at 46 degree to both. Then what fraction of the initially unpolarized light incident on A passes through C? Keep in mind that if polarizers A and C are oriented at 90degree to each other (and polarizer B is absent) no light at all gets through. Then if polarizer B is inserted and aligned at 48degree to A, the fraction of initially unpolarized light incident on A that passes through C is now

Explanation / Answer

a) IA = Io/2

IC = IA*cos^2(74)

IC = (Io/2)*cos^2(74)

IC/Io = 0.038

= 3.8%

b) IA = Io/2

IB = IA*cos^2(45)

IC = IB*cos^2(45)

= IA*cos^2(45)*cos^2(45)

= (Io/2)*cos^2(45)*cos^2(45)

IC/Io = 0.125

= 12.5 %

c) IA = Io/2

IB = IA*cos^2(48)

IC = IB*cos^2(42)

= IA*cos^2(48)*cos^2(42)

= (Io/2)*cos^2(48)*cos^2(42)

IC/Io = (1/2)*cos^2(48)*cos^2(42)

= 0.1236

= 12.36 %

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