Consider two sets of polarizers. Set A has four polarizers, arranged so that their transmission axis are oriented at angles relative to the x-axis in this order: 90, 70, 20, and 0. Set B has four polarizers, arranged so their transmission axis oriented at angles relative to the x-axis in this order: 90, 20, 70, 0.

(a) (7 points) If unpolarized lights of intensity I0 are incident on the two sets of polarizers, is the transmitted intensity the same for both set? Explain your reasoning.

(b) (8 point) Calculate the fraction of transmitted light for both sets of polarizers (A and B), in terms of I0.

(c) (10 points) Consider a third set of polarizers, oriented with their transmission axis at 53, 3, 32, 118, 86, and 21. Without calculating the transmission, determine what order should these be arranged to allow the maximum transmission of light. Explain your reasoning.