Dimensions of Universal Gravitational Constant

The dimensions of universal gravitational constant are:

[2004]

\(ML^2T^{-1}\)

\(M^{-1}L^3T^{-2}\)

\(M^{-2}L^2T^{-1}\)

\(M^{-1}L^3T^{-2}\)

From \(F = G \frac{m_1 m_2}{r^2}\), we get \(G = \frac{Fr^2}{m_1 m_2}\). So, \([G] = \frac{(MLT^{-2})(L^2)}{M^2} = M^{-1}L^3T^{-2}\).