If an un polarized light passes through an ideal Polaroid filter, what percent o

Question

If an un polarized light passes through an ideal Polaroid filter, what percent of the light is transmitted? Un polarized light with intensity I_u is incident on a Polaroid, and the emerging light strikes a second Polaroid with its axis at 60 degree to that of the first. Determine the intensity of the light after it has passed through the second Polaroid. What is Brewster's angle when the light in the air is reflected off a surface of a lake? The critical angle for a light at an interface between certain substances is 55 degree. What is the polarizing angle (Brewster's angle)?

Explanation / Answer

1)

Ipolarized = Iunpolarized/2

50% of light is transmitted

2)

I1 = I0/2

I2 = I*(cos60)^2

I2 = I0/2)*(cos60)^2

I2 = Io/8 <<<-------answer

(3)

when the reflected light is polarized

i + r = 90

r = 90-i

from snells law

nair*sini = nw*sinr

1*sini = 1.33*sin(90-i)

tani = 1.33

i = 53.06 degrees

++++++++++

4)

critical angle C = sin^-1(1/u)

55 = sin^-1(1/n)

n = 1.22

brewaters angle i = tan^-1n

i = 51 degrees

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