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Unpolarized light of intensity 32   W   m - 2 passes through three polarizers arranged such that the transmission axes of the first and the last polarizer are at right angles. If the intensity of emerging light is 3   W   m - 2 , then what is the angle (in degree) between the transmission axes of the first two polarizers?

Correct answer

30

Step-by-step solution

Since unpolarized light is passing through the first polarizer, hence the intensity of light after crossing the first polarizer will be I 1 = 1 2 I 0 = 16   W   m - 2 Let us assume that the angle between the transmission axis of the first and second polarizer is θ , then from Malus law we can find out the intensity of light after it crosses the second polarizer. I 2 = I 1 cos 2 θ = 16 cos 2 θ Similarly, the intensity of light after crossing the third polarizer is I 3 = I 2 cos 2 90 ° -

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