If dimensions of critical velocity v_c of a liquid flowing through a tube are expressed as [η^x ρ^y r^z], where η, ρ and r are the coefficient of…

If dimensions of critical velocity $\displaystyle v_c$ of a liquid flowing through a tube are expressed as $\displaystyle \left[\eta^x \rho^y r^z\right]$, where $\displaystyle \eta, \rho$ and $\displaystyle r$ are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of $\displaystyle x, y$ and $\displaystyle z$ are given by :