If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is _____________.

Choose the correct option.

If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is $\frac{M}{R^2}$

Let us consider a body of mass m on the surface of the earth. 

The gravitational force on it $F=mg$ ------(1)

By Newton's law of gravitation:

F is also equal to  $G\frac{Mm}{R^2}$------(2)

So, equating 1 and 2 gives 

$mg=$$G\frac{Mm}{R^2}$

 On rearranging,   $\frac{g}{G}=\frac{M}{R^2}$