[Physics] Where does energy go when light passes through a polarising filter

Question

Suppose a polarised light has intensity $I$.
When it is passed through a polariser (also known as Polaroid) whose transmission axis is at angle $\theta$ with E vector the intensity becomes $I\cos^2\theta$. According to law of Malus.

So the intensity and the amplitude decreases so where does this energy go?

Answer 1

The missing energy is dissipated in the material of the polarizer, similar to where the energy goes to when you shine light on an opaque object.