A beam of unpolarized light of intensity 12.o w/m^2 is incident on an ideal line

Question

A beam of unpolarized light of intensity 12.o w/m^2 is incident on an ideal linear polarizer, P1, whose transmission axis is in the vertical (y) direction. The light then moves to a second ideal polarizer, P2, whose axis of transmission is at 37 degrees from the vertical.

A. What is the intensity of light emerging from P1?

B. What is the intensity of light emerging from P2 ?

C. If the light were to then go through a third ideal polarizer, P3, at what angle from the vertical should the transmission axis of P3 be oriented such that the light transmitted from P3 is one-tenth the intensity of the incident unpolarized light?

Explanation / Answer

a)Intensity=Io/2

=12/2

=6 W/m^2

b) I=6*cos^2(37)

=3.827 W/m^2

c)let it be x.so,

0.12=3.827*cos^2(x-37)

or x=116.8 degrees

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