Find the depth of lake at which density of water is `1%` greater than that at the surface. Given compressibility `k= 50 xx10^(-6) atm^(-1)`.

Explanation

To find the depth of the lake at which the density of water is 1% greater than that at the surface, we can follow these steps:

### Step-by-step Solution:

1. **Understanding the Given Information**:
- We know that the density of water at a certain depth is 1% greater than the density at the surface. This can be expressed as:
\[
\frac{\Delta \rho}{\rho} = \frac{1}{100}
...