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Question
I0 is the intensity of light existing between two cross Polaroids kept with their axes perpendicular to each other. A third polaroid is introduced between them. What must be the angle between the axes of the first and the newly introduced polaroid to get the maximum light from the whole arrangement?
Solution
`"A"_"R" = "A"/sqrt2 cos theta sin theta`
I ∝ A2
I ∝ `4/4 cos^2 theta sin^2theta`
I ∝ `1/4` (2 cos θ sin θ)2
I ∝ `1/2` (sin 2θ)2
sin 2θ = 1
2θ = 90°
θ = 45°
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