At what angle should the axes of two polaroids be placed so as to reduce the intensity of the incident unpolarized light to (a) 1/4 (b) 1/2?

Explanation

To solve the problem of determining the angle between the axes of two polaroids that reduces the intensity of incident unpolarized light to (a) 1/4 and (b) 1/2, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Relationship**:
The intensity of polarized light (I_p) transmitted through two polaroids can be described by Malus's Law. For unpolarized light incident on the first polaroid, the intensity after the first polaroid is:
\[
I_1 = \frac{1}{2} I_u
...