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You have two polarizers on an optical rail between an unpolarized light source (of intensity I0)...

You have two polarizers on an optical rail between an unpolarized light source (of intensity I0) and a detector. Polarizer 1 is oriented at an angle of θ1 = 40° from the horizontal, and polarizer 2 is oriented horizontally (θ2 = 0°).

(a) What is the intensity of the light after it passes through only polarizer 1? Express your answer as a fraction or decimal in terms of I0 (i.e. I = 1⁄4 I0).

(b) What is the intensity of the light after it has passed through both polarizers? Again, express your answer as a fraction or decimal in terms of I0.

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