Question

A suitable unit for gravitational constant is

• A. $N{m}^{-1}sec$
• B. $kg\text{-}mse{c}^{-1}$
• C. $kgmse{c}^{-1}$
• D. $N{m}^{2}k{g}^{-2}$

Answer 1

The correct option is D $N{m}^{2}k{g}^{-2}$

As we know, the gravitational force between two object is given by,
$F=\frac{G{m}_1{m}_2}{r^2}$
Here, $G=\text{Gravitational constant}$.
then,
$G=\frac{F{r}^2}{m^2}$
so, the unit of gravitational constant is
$N{m}^{2}k{g}^{-2}$