Suppose you send unpolarized light through a polaroid filter. This light then pa

Question

Suppose you send unpolarized light through a polaroid filter. This light then passes through a second filter at a 45 degree angle to the first. Then it passes through a third filter, rotated an additional 45 degrees. What portion of the original light is left after the 3 filters? After just 2? What happens if you remove the middle filter? Suppose you send unpolarized light through a polaroid filter. This light then passes through a second filter at a 45 degree angle to the first. Then it passes through a third filter, rotated an additional 45 degrees. What portion of the original light is left after the 3 filters? After just 2? What happens if you remove the middle filter?

Explanation / Answer

intial intensity be I

after the polaroid filter,

I' = I/2

after second filter,

I'' = I/2 cos^45 = I/4

after the third filter,

I''' = I'' cos^90

I''' = 0 since, theta = 90 deg

after third, the light did not pass.

After second, 1/4th of the light passed.

If we remove the middle filter, the light reaches third filter with an intensity of I/2.

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