Two incoherent sources of light emitting light of intensity `I_(0)` and `3I_(0)` interfere in a medium. Calculate, the resultant intensity at any point.

Explanation

To solve the problem of finding the resultant intensity when two incoherent sources of light with intensities \( I_0 \) and \( 3I_0 \) interfere in a medium, we can follow these steps:

### Step 1: Understand the Nature of Incoherent Sources
Incoherent sources of light do not maintain a constant phase relationship. Therefore, we cannot use the principle of superposition for amplitudes, but we can directly add their intensities.

### Step 2: Write Down the Intensities
Let the intensity of the first source be:
\[
...