A beam of unpolarised light of intensity is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of relative to that of A. The intensity of emergent light is

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Solution

Q.
A beam of unpolarised light of intensity $I_{0}$ is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of $45^{o}$ relative to that of A. The intensity of emergent light is [2024].

1 $I_{0} / 4$

2 $I_{0}$

3 $I_{0} / 2$

4 $I_{0} / 8$

Ans.
(1)

$I_{1} = \frac{I_{0}}{2} and I_{2} = I_{1} \cos^{2} θ$

$= \frac{I_{0}}{2} \cos^{2} 45 ° I_{2} = \frac{I_{0}}{4}$

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