Gauss’s law is true only if force due to a charge varies as :

Given data: Gauss law statement follows

Concepts used: Gauss law

Explanation:

The mathematical expression for Gauss's law can be written as:

$\varphi =\frac{q}{{\epsilon }_0}$

$\varphi =EA$

or,  $\varphi =\frac{1\times q\times A}{4\pi {\epsilon }_0{r}^2}$

$\frac{F}{A}=\frac{1\times q\times A}{4\pi {\epsilon }_0{r}^2}$

$F\propto r^{-2}$