Two polaroid sheets are placed one over the other with their axes inclined to each other at an angle $θ$ . If only 12.5% of the intensity of the light incident on the first sheet emerges out from the second sheet, the value of $θ$ is

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45°

90°

30°

60°

answer is B.

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Detailed Solution

$\begin{array}{l} \frac{I}{I_{0}} = 12 .5 % = 0 .125 but I = \frac{I_{0}}{2} \cos^{2} θ \\ \Rightarrow \cos^{2} θ = 0 .25 \\ \Rightarrow \cos θ = \sqrt{0 .25} = 0 .5 = \frac{1}{2} \Rightarrow θ = 60^{0} \end{array}$

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