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Question

Four polaroids are placed such that the optic axis of each is inclined at an angle of 30 with the optic axis of the preceding one. If unpolarized light of intensity I0 falls on the first polaroid, the light transmitted from the fourth polaroid is,

A
I0
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B
I016
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C
0.21 I
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D
None of the above
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Solution

The correct option is C 0.21 I
When unpolarized light I0 passes throgh the polariser, the intensity of transmitted light is I02, irrespective of the polariser
So, after first polaroid, I1=I02

According to Malus' law,

After second polaroid,

I2=I1cos230=I02×34=3I8

After third polaroid,

I3=I2cos230=3I8×34=9I32

After fourth polaroid,
I4cos230=9I32×34=27128I=0.21 I0

Hence, (C) is the correct answer.

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