Unpolarized light of intensity io passes through six successive polaroid sheets each of whose axis makes a 60 ∘ angle with the previous one. what is the intensity of the transmitted beam?

Explanation:

= Unpolarized light intensity

= Angle = 60°

Intensity of light through first polarizer

Intensity of light through nth polarizer

when

n = 6

The intensity of light after passing through the sixth polarizer is

0.0004883 Io

Explanation:

Let Io be the intensity of unpolarised light.

Intensity of light coming out from first polaroid.

I1 = Io / 2

According to law of Malus, the intensity of light coming from the n th polaroid is given by

where, n be the number of polaroid and θ be the angle between two polaroid.

So, I6 = 0.0004883 Io

Thus, the intensity of light coming out from the sixth polaroid is 0.0004883 Io.