#OSIII$\mathrm{.}01\mathrm{.}95$ :: The light incident on polarizing sheet$$P$1$ is linearly polarized at an angle of $30\mathrm{.}0$ with respect to the transmission axis of P$1.$ Sheet$$P$2$ is placed so that its axis is parallel to the polarization axis of the incident light, that is$,$ also at $30\mathrm{.}0$ with respect to P$1.($a$)$ What fraction of the incident light passes through$$P$1?($b$)$ What fraction of the incident light is passed by this combination? $($c$)$ By rotating$$P$2,$ a maximum in transmitted intensity is obtained. What is the ratio of this maximum intensity to the intensity of the transmitted light when$$P$2$ is at $30\mathrm{.}0$ with respect to$$P$1?$

As with all of our problems, please keep this symbolic before putting in$$any numbers.