Three polarizing filters are stacked with the polarizing axes of the second and

Question

Three polarizing filters are stacked with the polarizing axes of the second and third at 39.5 and 90.0, respectively, with that of the first. An unpolarized light of intensity I0 is incident on the stack.

A. Find the intensity of light emerging from the first filter.

B. Find the intensity of light emerging from the second filter.

C. Find the intensity of light emerging from the third filter.

D.If the second filter is removed, what is the intensity of the light emerging from the first filter?

E. If the second filter is removed, what is the intensity of the light emerging from the last filter?

Explanation / Answer

Given,

Intensity = I0 ; theta2 = 39.5 deg ; theta3 = 90 deg

A)Since the light is intially unpolarized,

I1 = I0/2

B)I2 = I1 cos^(theta2)

I2 = I0/2 cos^39.5 = 0.298 I0

Hence, I2 = 0.298 I0

C)I3 = I2 cos^(theta3)

I3 = 0.298 I0 cos^90 = 0

Hence, I3 = 0

D)I1 = I0/2

E) I3 = 0

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