A cylindrical column contains a bed of spherical solid particles with a total bed height of $1\mathrm{.}5$ meters. The density of the solid particles is $1500$ kg$/$m$^3$ and the diameter of the particles is $0\mathrm{.}05$ meters. Air is used as the fluidizing medium. Determine the minimum fluidization velocity required to fluidize the bed. Given:Void fraction $()=0\mathrm{.}4$Dynamic viscosity of air $()=1\mathrm{.}8\backslash$times $10-5$ kg$/($m$$s$)$Density of air $()=1\mathrm{.}2$ kg$/$m$^3($Use the provided equation in the picture along with the quadratic equation to find the answer$)$