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 45º towards C2, the intensity of the light emerging from C2 is

Initially the crystals are inclined at 90° and the intensity of light transmitted through the first crystal is I0. If the crystal is rotated through 450 then the Intensity of emerging light isI0cos2⁡45∘=I02

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 45º towards C2, the intensity of the light emerging from C2 is

Initially the crystals are inclined at 90° and the intensity of light transmitted through the first crystal is I0. If the crystal is rotated through 450 then the Intensity of emerging light isI0cos2⁡45∘=I02

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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 45º towards C₂, the intensity of the light emerging from C₂ is

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

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

Zero

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

answer is C.

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Detailed Solution

Initially the crystals are inclined at 90° and the intensity of light transmitted through the first crystal is I₀. If the crystal is rotated through 45⁰then the Intensity of emerging light is
$I_{0} \cos^{2} 45^{\circ} = \frac{I_{0}}{2}$