Two polaroid `A and B` are kept in crossed position. How should a third polaroid `C` be placed between them so that the intensity of polarized light transmitted by polaroid `B` reduces to `(1)/(8)th` of the intensity of unplarised light incident on `A` ?

Explanation

To solve the problem, we need to determine how to place the third polaroid (C) between two crossed polaroids (A and B) so that the intensity of the light transmitted by B is reduced to \( \frac{1}{8} \) of the intensity of unpolarized light incident on A.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- Let the intensity of the unpolarized light incident on polaroid A be \( I_0 \).
- Polaroid A is oriented in a certain direction, and polaroid B is oriented at 90 degrees (crossed) to A.
- When unpolarized light passes through polaroid A, the intensity of the transmitted light becomes \( \frac{I_0}{2} \) because only half of the light intensity is transmitted through a polaroid.
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