Write the unit and dimensional formula of the ratio of the gravitational constant $(G)$ to the acceleration due to gravity $(g)$.

(N/A) The gravitational constant $G$ has the unit $N \cdot m^2 / kg^2$ and the dimensional formula $[M^{-1} L^3 T^{-2}]$.
The acceleration due to gravity $g$ has the unit $m / s^2$ and the dimensional formula $[M^0 L^1 T^{-2}]$.
Therefore,the ratio $\frac{G}{g}$ has the unit:
$\frac{N \cdot m^2 / kg^2}{m / s^2} = \frac{(kg \cdot m / s^2) \cdot m^2 / kg^2}{m / s^2} = \frac{m^2}{kg} = m^2 \cdot kg^{-1}$.
The dimensional formula is:
$\frac{[M^{-1} L^3 T^{-2}]}{[M^0 L^1 T^{-2}]} = [M^{-1} L^2 T^0]$.