Question

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

• A. $M^{-1}L^2T^{-2}$
• B. $M^{0}L^0T^{0}$
• 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[ MLT ^{-2}\right]\left[ L ^{2}\right]}{[ M ][ M ]} $
$=\left[ M ^{-1} L ^{3} T ^{-2}\right]$