The coefficient of permeability (hydraulic conductivity), denoted by \(k\), represents the rate at which water flows through soil.
Its SI unit is
\[
\boxed{\mathrm{m/s}}
\]
Hence,
\[
\boxed{\mathrm{m/s}}
\]
is the correct answer.
Therefore,
\[
\boxed{(B)}
\]