Unpolarized light of intensity I0 = 850 W/m2 is incident upon three polarizers. The axis of the first polarizer is vertical. The axis of the second polarizer is rotated at an angle θ = 45° from the vertical. The axis of the third polarizer is horizontal. a) Write an equation for the intensity of light after it has passed through all three polarizers in terms of the intensity of unpolarized

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Unpolarized light of intensity I0 = 850 W/m2 is incident upon three polarizers. The axis of the first polarizer is vertical. The axis of the second polarizer is rotated at an angle θ = 45° from the vertical. The axis of the third polarizer is horizontal.

a) Write an equation for the intensity of light after it has passed through all three polarizers in terms of the intensity of unpolarized light entering the first polarizers I0 and the angle of the second polarizer relative to the first, given that the first and third polarizers are crossed (90 degrees between them). Use trigonometric identities to simplify and give the results in terms of a single trigonometric function of φ = 2theta.

I3 = ?

b) What is the smallest angle theta2, in degrees, from the vertical that the second polarizer could be rotated such that the intensity of light passing through all three polarizers is I3' = 28 W/m^2?

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