Two Polaroids P 1 and P 2 are placed with their axis perpendicular to each other. Unpolarised light with intensity I 0 is incident on P 1 . A third polaroid P 3 is kept in between P 1 and P 2 such tha

Question

Two Polaroids P 1 and P 2 are placed with their axis perpendicular to each other. Unpolarised light with intensity I 0 is incident on P 1 . A third polaroid P 3 is kept in between P 1 and P 2 such that its axis makes an angle 45 o with that of P 1 . The intensity of transmitted light through P 2 isNEET 2017

TestHub · Accepted Answer

By Malus law, the intensity of transmitted light via $P_{1}$ is $I_{1} = \frac{I_{0}}{2}$

The intensity of light transmitted through $P_{3}$ as obtained from the above figure is $I_{2} = \frac{I_{0}}{2} \cos^{2} 45^{o}$

$= \frac{I_{0}}{2} \times \frac{1}{2}$

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

Intensity of light transmitted via $P_{2}$ is $I_{3} = \frac{I_{0}}{4} \cos^{2} 45^{o}$

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

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