# Three polarizing filters are stacked with the polarizing axes of the second and third at 35...

## Question:

Three polarizing filters are stacked with the polarizing axes of the second and third at {eq}35^\circ {/eq} and {eq}80^\circ {/eq} (both front/clockwise), with respect to the first. If light of intensity {eq}I_0 {/eq} is emerging from the first polarizer, find the intensity of light emerging from each of the other two filters as a fraction of {eq}I_0 {/eq}.

## Malus Law:

When a plain polarized light passes though a polarizer, the intensity of emerging light from the polarizer depends on the angle between the polarization axis of light and pass axis of the polarizer, which is given by Malus Law as:

• {eq}I \ = I_o \times \cos^2 \theta {/eq}

where

I represents intensity of transmitted light

{eq}I_o {/eq} represents intensity of incident light on the polarizer

{eq}\theta {/eq} represents angle between the polarization axis of incident light and pass axis of the polarizer

We are given three polarizers, with following information:

• Intensity of light emerging from polarizer-1 = {eq}I_0 {/eq}
• Angle between polaization...

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