In fluid mechanics, the pressure p p\,p at a depth h h\,h in a stationary fluid of uniform density ρ \rho\,ρ is given by p=ρghp = \rho g hp=ρgh, where g g\,g is the acceleration due to gravity.
What are the SI base units of the pressure gradient with respect to depth, dpdh\displaystyle \frac{\text{d}p}{\text{d}h}dhdp?
kg m−1 s−2\text{kg}\,\text{m}^{-1}\,\text{s}^{-2}kgm−1s−2
kg m−2 s−2\text{kg}\,\text{m}^{-2}\,\text{s}^{-2}kgm−2s−2
kg m−3 s−2\text{kg}\,\text{m}^{-3}\,\text{s}^{-2}kgm−3s−2
kg m−2 s−1\text{kg}\,\text{m}^{-2}\,\text{s}^{-1}kgm−2s−1