A bed of spherical glass beads (density $3000 \text{ kg/m$^3$}$, diameter $1\:\text{mm}$, bed porosity $0.5$) is to be fluidized by a liquid of density $1000 \text{ kg/m$^3$}$ and viscocity $0.1 \text{ Pa.s}$. Assume that the Reynolds number based on particle diameter is very small compared to one. If $g = 10 \text{ m/s$^{2}$}$, then the minimum velocity (in $\text{m/s}$) required to fluidize the bed is

1. $3.33x10^{-4}$
2. $3.33x10^{-1}$
3. $3$
4. $30$