Magnetic Effects of Current and Magnetism: JEE Main 2026 Physics question

A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of solenoid is 1.0 T. The magnetic intensity in SI units is $\alpha\times10^5$. The value of $\alpha$ is ______. (Free space permeability $\mu_0=4\pi\times10^{-7}$ SI units.)