A plane polarized beam of intensity I is incident on a polarizer with the electric vector inclined at `30^@` to the optic axis of the polarizer. Light coming out of the polarizer through an analyser whose optic axis is inclined at `30^@` to the polarizer. Find the intensity of light coming out of the analyser.

Explanation

To solve the problem step by step, we will use Malus's Law, which states that when polarized light passes through a polarizer, the intensity of the transmitted light is given by:

\[ I = I_0 \cos^2(\theta) \]

where \( I_0 \) is the intensity of the incident light and \( \theta \) is the angle between the light's electric field vector and the polarizer's optic axis.

### Step 1: Calculate the intensity after the first polarizer

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