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Two Polaroid A and B are placed in such a way that the pass – axis of Polaroid are perpendicular to each other. Now, another Polaroid C is placed between A and B bisecting angle between them. If intensity of unpolarized light is $I_{0}$ then intensity of transmitted light after passing through Polaroid B will be:

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$\frac{I_{0}}{8}$

$\frac{I_{0}}{2}$

$\frac{I_{0}}{4}$

Zero

answer is A.

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Detailed Solution

$I_{A} = \frac{I_{0}}{2} I_{C} = I_{A} \cos^{2} θ = \frac{I_{0}}{4} I_{B} = \frac{I_{0}}{4} \cos^{2} \frac{π}{4} = \frac{I_{0}}{8}$

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