Final answer:
The units of viscosity in the SI system, given the fundamental dimensions of mass, length, and time, would be kg/ms, which is option D.
Step-by-step explanation:
If mass, length, and time are selected as the three fundamental dimensions, the units of viscosity in the SI unit system could be written as kg/ms (D). Viscosity is a measure of a fluid's resistance to flow and deform under shear stress. In SI units, viscosity is measured in pascal-seconds (Pa·s), which can also be expressed as N·m/[(m/s)m²] = (N/m²)s. Since the pascal is a unit of pressure equivalent to a newton per square meter (N/m²), and time is measured in seconds (s), viscosity's unit can be broken down to (N·s)/m². Substituting the unit for force (N = kg·m/s²), we get (kg·m/s²)·s/m², which simplifies to kg/(m·s), aligning with option D.