Unpolarized light of intensity I is incident on a polarizer and the emerging light strikes a second polarizing filter with its axis at 45⁰ to that of the first. Determine
a) the intensity of the emerging beam and
b) its state of polarization

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I/4 and perpendicular to second filter

I/8 and perpendicular to second filter

I/8 and parallel to second filter

I/4 and parallel to second filter

answer is A.

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Detailed Solution

$I' = \frac{I}{2} \cos^{2} 45^{o} = \frac{I}{4}$

State of polarization of the transmitted light is along polarization axis of a polarizer/analyzer. Hence, it is parallel to second filter.

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