Two polaroid A and B 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 o

Question

Two polaroid A and B 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 unpolarised light is I 0 ​ then intensity of transmitted light after passing through polaroid B will be

TestHub · Accepted Answer

Intensity of light after passing through polaroid A is $I_{A} = \frac{I _{0}}{2}$

Angle between the pass-axis of polaroid A and C is $θ_{1} = 4 5^{\circ}$

Intensity of light after passing through polaroid C is $I_{C} = I_{A} cos^{2} (4 5^{\circ}) = \frac{I _{0}}{2} \times (\frac{1}{2})^{2} = \frac{I _{0}}{4}$

Angle between the pass-axis of polaroid C and B is $θ_{2} = 4 5^{\circ}$

Intensity of light after passing through polaroid B is $I_{B} = I_{C} cos^{2} (4 5^{\circ}) = \frac{I _{0}}{4} \times (\frac{1}{2})^{2} = \frac{I _{0}}{8}$

Answer: $\frac{I _{0}}{8}$

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