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sergiy2304 [10]
3 years ago
5

Unpolarized light passes through three polarizing filters. The first one is oriented with a horizontal transmission axis, the se

cond filter has its transmission axis 31.8° from the horizontal, and the third one has a vertical transmission axis. What percent of the light gets through this combination of filters?
Physics
1 answer:
Xelga [282]3 years ago
4 0

Answer:

10.028%

Explanation:

\theta = Angle between polarizer

The polarized light after passing through first polarizer

I=\frac{I_0}{2}

The polarized light after passing through second polarizer

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

The polarized light after passing through third polarizer

I_3=I_2cos^2(90-31.8)\\\Rightarrow I_3=0.36115I_0cos^2(90-31.8)\\\Rightarrow I_3=0.10028I_0

\frac{I_3}{I_0}\times 100=\frac{0.10028I_0}{I_0}\times 100\\ =10.028\ \%

The percent of the light gets through this combination of filters is 10.028%

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