Answer:
50.76°
Explanation:
To find the angle between the two polarizers, you take into account that each polarizing sheet reduces the intensity of the light. Then, you have:
After the unpolarized light crosses the first polarizer:
[tex]I_1=\frac{I_o}{2}[/tex]
After light crosses the second polarizer:
[tex]I_2=I_1cos^2\theta=\frac{I_o}{2}cos^2\theta[/tex]
θ: angle between the two polarizing sheets
When the light emerges from the second polarizer the intensity of the light is 0.2 times the initial intensity, then you have:
[tex]0.2(8000W/m^2)=(\frac{8000Wm/m^2}{2})cos^2(\theta)\\\\\theta=cos^{-1}(\sqrt{0.4})=50.76\°[/tex]
hence, the angle between the polarizing sheets is 50.76°
