A solenoid has a core made of material with relative permeability \(400\). The magnetic field produced in the interior of solenoid is \(1.0\,\text{T}\). The magnetic intensity in SI units is \(\alpha \times 10^5\). The value of \(\alpha\) is ________.
\[
\text{Given: } \mu_0 = 4\pi \times 10^{-7}\,\text{SI units}
\]