Two polaroid 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 the angle between them. [2023]

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Solution

Q.
Two polaroid 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 the angle between them. If intensity of unpolarised light is $I_{0}$ then intensity of transmitted light after passing through polaroid B will be [2023]

1 $\frac{I_{0}}{4}$

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

3 $\frac{I_{0}}{8}$

4 $Z e r o$

Ans.
(3)

$I_{A} = \frac{I_{0}}{2} and I_{C} = \frac{I_{0}}{2} \cos^{2} 45 = \frac{I_{0}}{4}$

$I_{B} = I_{C} \cos^{2} 45 = \frac{I_{0}}{8}$

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