A beam of ordinary light is incident on a system of four polaroids which are arranged in succession such that each polaroid is turned through `30^@` with respect to the preceding one. Find the percentage of the incident intensity that emerges out from the system is approximately.

Explanation

To solve the problem of finding the percentage of incident intensity that emerges from a system of four polaroids arranged such that each is turned through \(30^\circ\) with respect to the preceding one, we can follow these steps:

### Step-by-Step Solution:

1. **Initial Intensity**: Let the initial intensity of the ordinary light beam be \(I_0\).

2. **First Polaroid**: When unpolarized light passes through the first polaroid, the intensity is reduced to half. Therefore, the intensity after the first polaroid \(I_1\) is given by:
\[
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