Explanation
\textbf{Hint:} Dimensional formula of force is ML{{T}^{-2}} .
\textbf{Solution:}
\textbf{Step 1: Calculating the gravitational constant.}
We know that Gravitational force exerted on a body of mass m is given by,
F=\dfrac{GMm}{{{r}^{2}}}
\Rightarrow G=\dfrac{F{{r}^{2}}}{Mm}
\textbf{Step 2: Calculating dimensions of universal gravitational constant.}
G=\dfrac{[ML{{T}^{-2}}][{{L}^{2}}]}{[{{M}^{2}}]}
\Rightarrow G=[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]
\textbf{Thus, option (C) is correct.}
Please disable the adBlock and continue. Thank you.