Question 11 of 12 Map sapling learning A beam of initially unpolarized light pas

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Question 11 of 12 Map sapling learning A beam of initially unpolarized light passes through a sequence of three ideal polarizers. The angle between the axes of the first and second polarizers is 17.5°, and the angle between the axes of the second and third polarizers is 54.9°. What is the ratio of the intensity of light emerging from the third polarizer, 13, to the intensity of light incident on the first polarizer, lo? Number 17.5° 54.9 Previous Give Up & View Solution e Check Answer > Next Exit Hint

Explanation / Answer

using malus' law,

final intensity If = initial intensity*cos (theta)^2

assume initial intensity = Io

when light is passing through a polarization at 0 deg

If = 1/2*Io*cos(0) = 0.5*Io

it is always half of the initial intensity when passing through a verticle orientation of polarizer.

passing through polarization at 17.5

theta = 17.5-0 - 17.5 deg

using malus' law,

I2 = 0.5*Io*cos(17.5)^2 = 0.454*Io

passing through polarization at 54.9 deg

so theta = 54.9-17.5 = 37.4 deg

I3 = 0.454*Io*cos (37.4)^2 = 0.286*Io

I3 / Io = 0.286*Io / Io

I3 / Io = 0.286

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