Unpolarized light of intensity 32 `Wm^(-3)` passes through three polarizers such that the transmission axis of the last polarizer is crossed with the first. If the intensity of the emerging light is `3 Wm^(-2)`, what is the angle between the transmission axes of the first two polarizers ? At what angle will the transmitted intensity be maximum ?

Explanation

To solve the problem, we will follow the steps outlined below:

### Step 1: Understand the Problem
We have unpolarized light of intensity \( I_0 = 32 \, \text{W/m}^2 \) passing through three polarizers. The intensity of the light emerging from the last polarizer is \( I_3 = 3 \, \text{W/m}^2 \). The transmission axis of the last polarizer is crossed with the first polarizer. We need to find the angle \( \theta \) between the transmission axes of the first two polarizers.

### Step 2: Apply Malus's Law
When unpolarized light passes through the first polarizer, the intensity is reduced to half:
\[
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