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An unpolarized light of intensity I 0 passes through three polarizers, such that the transmission axis of last polarizer is perpendicular to that of first. If the intensity of emergent light is 3 I 0 32 and the angle between the transmission axis of first two polarizers is θ , then

Options

  1. Aθ = 45 °
  2. Bθ = 37 °
  3. Cθ = 30 °
  4. Dθ = 53 °

Correct answer

C. θ = 30 °

Step-by-step solution

3 I 0 32 = I 0 2 c o s 2 θ s i n 2 θ 4 cos 2 θ sin 2 θ = 3 4 or sin 2 θ = 3 4 = 3 2 θ = 30 °

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