Physics - Unit & Dimension Question with Solution | TestHub

The dimensions of universal constant $G$, is obtained by Newton's law of gravitation
$F=\frac{G{m}_1{m}_2}{r^2}$
$\begin{array}{l}G=\frac{F\times r^2}{m_1{m}_2}\\ F=\text{ Force }\end{array}$
$r=$ Distance $m_1$ and $m_2$ are masses
$\begin{array}{rl}G& =\frac{\left[M^1{L}^1{T}^{-2}\right]\left[L^2\right]}{[M][M]}\\ & =\frac{\left[M^{\prime }{L}^2{T}^{-2}\right]}{\left[M^2\right]}=\left[M^{-1}{L}^2{T}^{-2}\right]\end{array}$