If and respectively denote the coefficient of viscosity and the...

The dimensional formula for the coefficient of viscosity $\eta$ is given by:

$\eta = \dfrac{F}{A \left(\dfrac{dv}{dx}\right)}$

$[\eta] = \dfrac{[M L T^{-2}]}{[L^2] [T^{-1}]} = [M L^{-1} T^{-1}]$

The dimensional formula for density $\rho$ is:

$[\rho] = \dfrac{\text{Mass}}{\text{Volume}} = [M L^{-3}]$

The ratio of the coefficient of viscosity to density is:

$\dfrac{[\eta]}{[\rho]} = \dfrac{[M L^{-1} T^{-1}]}{[M L^{-3}]} = [M^0 L^2 T^{-1}]$

Answer: $[M^0 L^2 T^{-1}]$