\(\left[M L^{-1} T^{-2}\right]\)

\(\therefore\) Dimensional formula of Pascal-second is \(\left[M L^{-1} T^{-1}\right]\)

By the formula of coefficient of viscosity, we have

\(\eta=\frac{F}{A(\Delta v / \Delta z)}\)

where \(F\) is force, \(A\) is area and \(\frac{\Delta v}{\Delta z}\) is velocity gradient.

\(\therefore\) Dimensions of \(\eta=\frac{\left[M L T^{-2}\right]}{\left[L^{2}\right]\left[L T^{-1} / L\right]}\)

\(=\left[M L^{-1} T^{-1}\right]\)

Hence, Pascal-second has dimensions of coefficient of viscosity.