Question
Answer carefully:
If Coulomb's law involved 1/r3 dependence (instead of 1/r2), would Gauss's law be still true?
Solution
The dependance of solid angle on radius 'r' is given by
.
Solid angle is that angle an arbitary area makes at a point P.
Gauss's law which happens to be an equivalent of Coulomb's law will not hold true if, Coulomb's law involved 1/r3 dependance instead of 1/r2 dependance.
