If Coulomb's law involved `1/r^3` (instead of `1/r^2)`, would Gauss's law still be true?

Explanation

To determine whether Gauss's law would still hold true if Coulomb's law involved a `1/r^3` dependence instead of `1/r^2`, we need to analyze the implications of this change step by step.

### Step-by-Step Solution:

1. **Understanding Coulomb's Law**:
- Coulomb's law states that the electric force \( F \) between two point charges \( q_1 \) and \( q_2 \) separated by a distance \( r \) is given by:
\[
F = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r^2}
...