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Question

Two circularly shaped linear polarisers are placed coaxially. The transmission axis of the first polarizer is at 30o from the vertical while the second one is at 60o, both in the clockwise sense. If an unpolarised beam of light of intensity I=20 W/m2 is incident on this pair of polarisers, then the intensities I1 and I2 transmitted by the first and the second polarisers, respectively, will be close to.

A
I1=10.0W/m2 and I2=7.5W/m2
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B
I1=20W/m2 and I2=15W/m2
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C
I1=10.0W/m2 and I2=8.6W/m2
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D
I1=15.0W/m2 and I2=0.0W/m2
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Solution

The correct option is A I1=10.0W/m2 and I2=7.5W/m2
Intensity of unpolarised light I=20 W/m2
Intensity of light passing through first polariser I1=I2=202=10 W/m2
Angle between transmission axis of two poalriser θ=6030=30o
Intensity of light passing through second polariser I2=I1cos2θ
I2=10×34=7.5 W/m2

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