A rod with a circular cross-section area \(2\) cm\(^2\) and length \(40\) cm is wound uniformly with \(400\) turns of an insulated wire. If a current \(0.4\) A flows in the wire winding, the total magnetic flux produced inside the winding is \(4π\times 10^{-6}\) Wb. The relative permeability of the rod is
(Given permeability of vacuum \(μ_0 = 4π\times 10^{-7}\) N m A\(^{-2}\))