A beam of unpolarised light is incident on a tourmaline crystal. The intensity of the emergent light is I₀. The emergent light is incident on another tourmaline crystal. It is found that no light emerges out of the second crystal. If now, the first crystal is rotated through 45⁰, the intensity of the light emerging through the second crystal will be

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0.75 I₀

0.25 I₀

0.50 I₀

Zero

answer is C.

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Detailed Solution

$\begin{array}{l} I = \frac{I_{i}}{2} \cos^{2} θ = \frac{I_{i}}{2} \cos^{2} 45 ° \\ \Rightarrow I = \frac{I_{i}}{2} (\frac{1}{2}) \end{array}$

$∵ \frac{I_{i}}{2} = I_{0}$

$∴ I = \frac{I_{0}}{2} = 0 .5 I_{0}$

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