The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosity, $\mu$. Which of the following options represents the non-dimensional parameters which could be used to analyze this problem?
- $\dfrac{F_D}{VD}$ and $\dfrac{\mu}{_{\rho}VD} \\$
- $\dfrac{F_D}{_{\rho}VD^2}$ and $\dfrac{_{\rho}VD}{\mu} \\$
- $\dfrac{F_D}{_{\rho}V^2D^2}$ and $\dfrac{_{\rho}VD}{\mu} \\$
- $\dfrac{F_D}{_{\rho}V^3D^3}$ and $\dfrac{\mu}{_{\rho}VD}$