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Two polaroids A and B are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid C is placed between A and B bisecting angle between them. If intensity of unpolarised light is $I_{0}$ , then intensity of transmitted light after passing through polaroid B will be $\frac{I_{0}}{n}$ . Find n.

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answer is 8.

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$\frac{I_{0}}{2} \cos^{2} 45^{\circ} \cos^{2} 45^{\circ} = \frac{I_{0}}{2} \times \frac{1}{4} = \frac{I_{0}}{8}$

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Two polaroids A and B are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid C is placed between A and B bisecting angle between them. If intensity of unpolarised light is I0, then intensity of transmitted light after passing through polaroid B will be I0n. Find n.