Answer:
10.028%
Explanation:
[tex]\theta[/tex] = Angle between polarizer
The polarized light after passing through first polarizer
[tex]I=\frac{I_0}{2}[/tex]
The polarized light after passing through second polarizer
[tex]I_2=\frac{I_0}{2}cos^2\theta\\\Rightarrow I_2=\frac{I_0}{2}cos^231.8\\\Rightarrow I_2=0.36115I_0[/tex]
The polarized light after passing through third polarizer
[tex]I_3=I_2cos^2(90-31.8)\\\Rightarrow I_3=0.36115I_0cos^2(90-31.8)\\\Rightarrow I_3=0.10028I_0[/tex]
[tex]\frac{I_3}{I_0}\times 100=\frac{0.10028I_0}{I_0}\times 100\\ =10.028\ \%[/tex]
The percent of the light gets through this combination of filters is 10.028%
