why the electric field of a infinite wire is independent of the distance ‘r’? Don’t it violate Coulomb’s Law which states that Electrostatic force is inversely proportional to distance square i.e. r^2 ?

your ,question is wrong as E due to an infinite sized charged sheet not infinitely long wire is independent of distance.Moreover there is no sense of violation of coulomb’s law as E due to charged sheet is formulated as an aplication of Gauss’law which itself is derived from coulomb’s law.

Thanks for ur answer.  It is  a good answer.I Really appreciate that.