Question

What is the dimensional formula for universal gravitational constant $G$ ?

• A. $M^{-1}{L}^2{T}^{-2}$
• B. $M^0{L}^0{T}^0$
• C. $M^{-1}{L}^3{T}^{-2}$
• D. $M^{-1}{L}^3{T}^{-1}$

Answer 1

Answer: (C)

Gravitational constant $G$
$=\frac{\text{ force }\times (\text{ distance }{)}^2}{\text{ mass }\times \text{ mass }}$
$\therefore$ Dimensions of $G=\frac{\left[ML{T}^{-2}\right]\left[L^2\right]}{[M][M]}$
$=\left[M^{-1}{L}^3{T}^{-2}\right]$