Unpolarized light passes through two polaroid sheets. the transmission axis of the analyzer makes an angle of 30.5° with the axis of the polarizer.

(a) what fraction of the original unpolarized light is transmitted through the analyzer? (enter your answer to at least three decimal places.)

(b) what fraction of the original light is absorbed by the analyzer?

22. the top of a cliff is located a distance h above the ground. at a distance h/2 there is a branch that juts out from the side of the cliff, and on this branch a bird's nest is located. two children throw stones at the nest with the same initial speed, one stone straight downward from the top of the cliff and the other stone straight upward from the ground. in the absence of air resistance, which stone hits the nest in the least amount of time?