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Question

Unpolarized light of intensity 32Wm2 passes through three polarisers such that the transmission axis of the last polarizer is perpendicular to that of the first. The intensity of final emerging light is 3Wm2. The angle between the transmission axes of the first two polarizers will

A
10
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B
30
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C
45
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D
60
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Solution

The correct option is B 30
I0=32Wm2
I2=I1cos2θ . . . .(1)
I1=I02
I3=I2cos2(90θ) . . . .(2)
I3=I1cos2θ sin2θ=I02×44sin2θ cos2θ
I3=I08(sin2θ)2
3=328(sin2θ)2;34=sin2θ
Sin2θ=32 ; 2θ=60
θ=30

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