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)

$M^{ -1}L^{3}T^{ -2}$

Answer 2

$F =\frac{G M_{1} M_{2}}{R^{2}}$
$\Rightarrow G =\frac{F R^{2}}{M_{1} M_{2}}$
$\therefore[G] =\frac{\left[ MLT ^{-2}\right]\left[ L ^{2}\right]}{\left[ M ^{2}\right]}=\left[ M ^{-1} L ^{3} T ^{-2}\right]$