A cylindrical vessel of depth 4m is fully filled with non homogenious liquid whose refractive index `(mu)` varies with depth y (in meters) a `mu=1+(y)/(4)`. Find the depth of the bottom of vessel as seen by an observer just above the top of the vessel.

Explanation

To solve the problem of finding the apparent depth of the bottom of a cylindrical vessel filled with a non-homogeneous liquid, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information**:
- The depth of the cylindrical vessel, \( h = 4 \) m.
- The refractive index \( \mu \) varies with depth \( y \) as \( \mu = 1 + \frac{y}{4} \).

...