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

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°.

(a) The polarizer B is oriented at 71° from the vertical. If the intensity of the light after the polarizer B is 25.00 % of the initial unpolarized light intensity, what must be the orientation angle of the polarizer A with respect to the vertical?

_____ °

(b) At these orientations of the two polarizers, what would be the intensity of the light in the region between the two polarizers compared with the intensity of the initial unpolarized light?

______ %

Explanation / Answer

using malus's law

I = Io*cos^2theta

I2 = 0.25I0

I1 = Io/2

0.25Io = Io/2cos^2(71-theta)

0.5 = cos^2(71-theta)

theta = 71-45 = 26 degree from vertical

part b )

after fisrt polarizer

I1 =Io/2

50%

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