Obtain the dimensional formula for `varepsilon_(0)`.

Explanation

`F=1/(4pivarepsilon_(0))(q_(1)q_(2))/r^(2)implies" "varepsilon_(0)=1/(4pi)(q_(1)q_(2))/(Fr^(2))`. Therefore, `[ɛ_(0)] = 1/(4pi)([q_(1)][q_(2)])/([F][r^(2)])`
Here, `1/(4pi)` is dimensionless and `[q_(1)] = [AT], [q_(2)] = [AT], [F] = [MLT^(-2)], [r^(2)] = [L^(2)]`
Hence, `" "[varepsilon_(0)]=([AT][AT])/([MLT^(-2)][L^(2)]` or `[varepsilon_(0)]` = `[M^(-1)L^(-3)T^(4)A^(2)]`