Unpolarized light of intensity 32 W m - 2 passes through three polarizers such that transmission axes of the first and second polarizer make an angle 30 ° with each other and the transmission axis of

Question

Unpolarized light of intensity 32 W m - 2 passes through three polarizers such that transmission axes of the first and second polarizer make an angle 30 ° with each other and the transmission axis of the last polarizer is crossed with that of the first. The intensity of the final emerging light will be

TestHub · Accepted Answer

I 0 = 32 For 1st polaroid I 1 = I 0 2 For 2nd polaroid I 2 = I 1 cos 2 ⁡ θ I 2 = I 0 2 × cos 2 ⁡ 30 ° I 2 = I 0 2 × 3 4 I 2 = 3 8 I 0 As last crosses with 1st polarizer, hence angle between 2nd & last polariser is 60 ° I 3 = I 2 cos 2 ⁡ 60 ° I 3 = I 2 × 1 4 I 3 = 3 8 I 0 × 1 4 I 3 = 3 I 0 32 I 3 = 3 32 × 32 I 3 = 3 W m - 2

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