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Question

Two polaroids are present in the path of unpolarized beam of intensity I0 such that no light is emitted from the second polaroid. If a third polaroid, whose transmission axis makes an angle θ with the transmission axis of the first polaroid, is placed between these polaroids. Then the intensity of light emerging from the last polaroid will be,

A
(I08)sin22θ
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B
(I04)sin22θ
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C
(I04)cos4θ
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D
(I02)cos4θ
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Solution

The correct option is A (I08)sin22θ


When unpolarized light of intensity (I0), passes through the polarizer, the intensity of transmitted light becomes I/2, irrespective of the orientation of the polarizer
So, I1=I02

According to Malus' law
I2=I1cos2θ=I2cos2θI3=I2cos2(90θ)=I2cos2θsin2θ
=I8(2sinθcosθ)2=I8(sin2θ)2

Hence, (A) is the correct answer.

Why this question?To understand the application of Malus law

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