Question

A polarized light that has an intensity I0 = 60.0 W/m² is incident on three polarizing disks whose planes are parallel and centered on a common axis. Suppose that the transmission axis of the first polarizer is rotated 20° relative to the axis of polarization of the incident light, and that the transmission axis of each additional analyzer is rotated 20° relative to the transmission axis of the previous one. Calculate the transmitted intensity through all polarizers.

Answer 1

Answer:

The transmitted intensity through all polarizers is $I_3 =41.31 W/m^2$

Explanation:

 According to Malu's law the intensity of a polarized light having an initial intensity $I_0$ is mathematically represented as

               $I = I_0cos^2 \theta$

Now  considering the polarizer(The polarizing disk) the equation above becomes

          $I = I_0 (cos^2 \theta)^n$

Where n is the number of polarizers

       Substituting  $60.0W/m^2$ for the initial intensity 3 for the n and 20° for the angle of rotation

           $I_3 = 60 (cos^220)^3$

               $=41.31 W/m^2$