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aleksandrvk [35]
4 years ago
15

Unpolarized light is incident upon two polarization filters that do not have their transmission axes aligned. If 21% of the ligh

t passes through, what is the measure of the angle between the transmission axes of the filters?
Physics
1 answer:
Debora [2.8K]4 years ago
5 0

Answer:

49.6°

Explanation:

I_0 = Unpolarized light

I_2 = Light after passing though second filter = 0.21I_0

Polarized light passing through first filter

I_1=\frac{I_0}{2}

Polarized light passing through second filter

I_2=\frac{I_0}{2}cos^2\theta\\\Rightarrow 0.21I_0=\frac{I_0}{2}cos^2\theta\\\Rightarrow cos^2\theta=\frac{0.21I_0}{\frac{I_0}{2}}\\\Rightarrow cos\theta=\sqrt{\frac{0.21I_0}{\frac{I_0}{2}}}\\\Rightarrow \theta=cos^{-1}\sqrt{\frac{0.21I_0}{\frac{I_0}{2}}}\\\Rightarrow \theta=cos^{-1}\sqrt{0.21\times 2}\\\Rightarrow \theta=cos^{-1}\sqrt{0.42}\\\Rightarrow \theta=49.6^{\circ}

The angle between the two filters is 49.6°

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