$1.$ light is transmitted through two polarizers as shown in the figure. The light is polarized in the $\backslash ($ y $\backslash )$ direction. The axis of the first polarizer is at $\backslash (\backslash$theta$\_\{1\}=28^\{\backslash$circ$\}\backslash )$ to the $\backslash ($ y $\backslash )$ direction. The axis of the second polarizer is at $\backslash (\backslash$theta$\_\{2\}=42\backslash )$ to the $\backslash ($ y $\backslash )$ direction. The intensity of the initial beam of polar ized light is $\backslash (1\mathrm{.}0^\{\backslash$star$\}10^\{\backslash$wedge$\}2\backslash$mathrm$\{$w$\}/\backslash$mathrm$\{$m$\}^\{\backslash$wedge$\}2\backslash )$ if the light incident on the first polarizer is linearly polarized.

a$.$ What is the electric and magnetic field strength of the incident wave?

b$.$ What is the intensity of the light after it passes through the first polarizer?

c$.$ What is the intensity of the light after it passes through the second polarizer?

d$.$ What is the percent of light transmitted through the two polarizers

e$.$ If the incident light was unpolarized, what percent of light is transmitted through the polarizers?