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Q.

A beam of unpolarised light is incident on a tourmaline crystal C₁. The intensity of the emergent light is I₀ and it is incident on another tourmaline crystal C₂. It is found that no light emerges from C₂. If now C₁ is rotated through 45° towards C₂, the intensity of the light emerging from C₂ is

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a

Zero

b

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

c

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

d

$\frac{3 I_{0}}{4}$

answer is C.

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Detailed Solution

$I = I_{0} \cos^{2} θ = I_{0} {(\cos 45 °)}^{2} = I_{0} {(\frac{1}{\sqrt{2}})}^{2} = \frac{I_{0}}{2}$

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A beam of unpolarised light is incident on a tourmaline crystal C1. The intensity of the emergent light is I0 and it is incident on another tourmaline crystal C2. It is found that no light emerges from C2. If now C1 is rotated through 45° towards C2, the intensity of the light emerging from C2 is