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

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

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

Answer carefully: If Coulomb’s law involved 1//r^3 dependence (instead of 1//r^2 ), would Gauss’s law be still true ?

Two large conducting spheres carrying charges Q_1, and Q_2, are brought close to each other. Is the magnitude of electrostatic force between theme exactly given by (Q_1Q_2)/(4pi epsi_(0) r^(2)) , where r is the distance between their centres? b. If Coulomb's law involved 1/r^(3) dependence ("instead of "1/r^2), would Gauss law be still true? c. A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point? d. What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical? e. We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there? f. What meaning would you give to the capacitance of a single conductor? g. Guess a possible reason why water has a much greater dielectric constant (=80) than say, mica (= 6).

Gauss's law part-1

Gauss's law part-2

If It is 1/r^2.5 in place of 1/r^2 , would Gauss's law still hold?