Polarizer Filter From

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Polarizer Filter From
Three polaroid filters?

Randomly polarized light is incident on an ideal linear polarizer. What fraction of the incident light passes through the polarizer?
is
0.50

I cant figure out these two. can someone please help me out

The light then passes through a polaroid with its polarization axis rotated by 51 degrees with respect to the axis of the first. What fraction of the original light intensity passes through this second polarizer?

The light now passes through a third polarizer with its axis of polarization oriented 39 degrees from the second (90 degrees from the first polarizer). What fraction of the original unpolarized light passes through the third polarizer?

You are correct for the first question, 1/2 of the light passes through one polarizer.
For the second question, it helps to answer the third question first. If there are two polarizers 90 degrees from one another, then no light will pass.
We can think of 51 degrees as being 51/90 ths of fully blocking the light. This works out to 0.567. We multiply that by the 0.5 that made it past the first polarizer and we find that the second polarizer blocks an additional 0.283 of the light, which leaves 0.217 to pass through.



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