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A stack of n ideal polarizers is arranged so that the transmission axes of the first and last polarizers are perpendicular to each other. The remaining polarizers are oriented so that there are equal angles between any two successive polarizers (giving a net rotation of 90^o for light passing all the way through the stack.

(a) Suppose that light polarized parallel to the transmission axis of the first polarizer, with intensity I iniitial is incident on the stack. What is the intensity of the outgoing light? (Find a general formula in terms of n.)

(b) Show that in the limit as n approaches infinity, your answer from (a) becomes I₀ initial.

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