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Initially unpolarized light goes through two polarizers, first polarizer A and t

ID: 1451222 • Letter: I

Question

Initially unpolarized light goes through two polarizers, first polarizer A and then polarizer B. Both polarizers can be only oriented to an angle between 0° and 90°. The polarizer A is oriented at 38° from the vertical, and the polarizer B is oriented at 77° from the vertical.

(a) What percentage would be the light intensity in the region after the polarizer A and before the polarizer B compared with the intensity of the initial unpolarized light? _________%

(b) Find the intensity of the light after the polarizer B in terms of percentage compared with the intensity of the initial unpolarized light. ________%

Explanation / Answer

(a)

The intensity of light passing through the first polarizer is,

    I1 = I0 / 2

    I1 = 0.5 I0

    I1/ I0 = 50 %

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(b)

The intensity of light passing through the first polarizer is,

    I2 = I1 cos^(theta)

I2 = (I0/2) cos^2(77-38)

  l2 = Io * (0.30)

I2/ I0 = 0.30

I2/ I0 = 30 %