Consider the three ideal polarizing filters shown in the figure. The angles listed indicate the direction of

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Consider the three ideal polarizing filters shown in the figure. The angles listed indicate the direction of the transmission axis of each polarizer with respect to the vertical. 

(a) If unpolarized light of intensity I0 is incident from the left, what is the intensity of the light that exits the last polarizer? 

(b) If vertically polarized light of intensity I0 is incident from the left, what is the intensity of the light that exits the last polarizer? 

(c) Can you remove one polarizer from this series of filters so that light incident from the left is not transmitted at all if unpolarized light is incident as in part (a)? If so, which polarizer should you remove? Answer the same questions for vertically polarized incident light as in part (b). 

(d) If you can remove one polarizer to maximize the amount of light transmitted in part (a), which one should you remove? Answer the same question for part (b).

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