Find the angle between two polarizers that will result in one-eighth of the light incident on the second polarizer passing through.

The angle is  

Explanation:

From the question we are told that

   The intensity of  light emerging from the second polarizer is  

Now  the light emerging from the first polarizer is  

 Where is the intensity of the unpolarized light

 Now according to Malus law the intensity of light emerging from the second polarizer is mathematically represented as

=>  

=>  

=>  

=>