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When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of :

Options

  1. A60 °
  2. B30 °
  3. C90 °
  4. D45 °

Correct answer

D. 45 °

Step-by-step solution

Let I 0 be intensity of unpolarised light incident on first polaroid. I 1 = Intensity of light transmitted from 1 st polaroid = I 0 2 If θ be the angle between 1 st and 2 nd polaroid and ϕ be the angle between 2 nd and 3 rd polaroid, then θ + ϕ = 90 ° . . . 1 If I 2 = Intensity from 2 nd polaroid, I 2 = I 1 c o s 2 θ = I 0 2 c o s 2 θ If I 3 = Intensity from 3 rd polaroid I 3 = I 2 c o s 2 ϕ = I 1 cos 2 θ cos 2 ϕ = I 0 2 c o s 2 θ c o s 2 90 ° - θ = I 0 2 c o s 2 θ s i n 2 θ = I 0 2 2 sin θ cos θ 2 2 = I 0 8 sin 2

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