Physics - Unit & Dimension Question with Solution | TestHub

From Newton’s law of gravitation, we have:        $F=G\frac{m_1{m}_2}{r^2}$ or    $G=\frac{F{r}^2}{m_1{m}_2}$ Substituting the dimensions of all physical quantities: $\left[\mathrm{G}\right]=\frac{\left[{\mathrm{MLT}}^{-2}\right]\left[{\mathrm{L}}^2\right]}{\left[\mathrm{M}\right]\left[\mathrm{M}\right]}$ or   $\left[\mathrm{G}\right]=\left[{\mathrm{M}}^{-1}{\mathrm{L}}^3{\mathrm{T}}^{-2}\right]$ Its SI unit is  ${\mathrm{m}}^3 {\mathrm{kg}}^{-1}{\mathrm{s}}^{-2} \mathrm{or} \mathrm{N} {\mathrm{m}}^2 {\mathrm{kg}}^{-2}.$