Initially unpolarized light is incident on a series a polarizing sheets. You decide to investigate what percentage of the initial intensity is transmitted for a variety of configurations of the system. Give that percentage for each of the following situations.
a. Two polarizers with the second sheet's polarizing angle at 90 degrees with the first sheet's.
b. You add an additional polarizer in the middle of the configuration in part a, whose angle is halfway between the other two's angle
c. 4 polarizing sheets, each at an angle of 30 degrees with the previous.
d. We could obviously continue adding as many sheets as we like in this fashion. if we now have light polarized in the x direction, and we want to change its polarization by 90 degrees, what's the minimum number of polarizing sheets do we need in order to keep 90% of its intensity?