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Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B . The intensity of emergent light is I 2 . If a third the polarizer C is placed between A and B the intensity of emergent light is reduced to I 3 . The angle between the polarizers A and C is θ , then

Options

  1. Acos ⁡ θ = 2 3 1 4
  2. Bcos ⁡ θ = 1 3 1 4
  3. Ccos ⁡ θ = 1 3 1 2
  4. Dcos ⁡ θ = 2 3 1 2

Correct answer

A. cos ⁡ θ = 2 3 1 4

Step-by-step solution

A and B have the same alignment of the transmission axis. Let's assume c is introduced at θ angle, ⇒ I 2 cos 2 θ × cos 2 θ = I 3 ⇒ cos 4 θ = 2 3 ⇒ cos θ = 2 3 1 4 .

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