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An unpolarised light beam of intensity I₀ is incident on a pair of ideal polaroids. The intensity of the light emerging from the second polaroid is found to be 3I₀ 8 . The angle between the transmission axes of the two polaroids is :

Options

  1. A60^
  2. B45^
  3. C30^
  4. D90^

Correct answer

C. 30^

Step-by-step solution

When unpolarised light of intensity I₀ passes through the first polaroid, it becomes plane-polarised and its intensity is reduced to half. Intensity after the first polaroid, I₁ = I₀ 2 Let the angle between the transmission axes of the two polaroids be . According to Malus's law, the intensity of light emerging from the second polaroid is given by: I₂ = I₁ ^2 Given that I₂ = 3I₀ 8 , we can write: I₀ 2 ^2 = 3I₀ 8 ^2 = 3 4 = 3 2 = 30^ Answer: 30^

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