Question

The value of the universal gravitational constant is .

• A. $6.67\times {10}^{-34}{\text{Nm}}^2{\text{kg}}^{-2}$
• B. $6.67\times {10}^{-23}{\text{Nm}}^2{\text{kg}}^{-2}$
• C. $6.67\times {10}^{-11}{\text{Nm}}^2{\text{kg}}^{-2}$
• D. $6.67\times {10}^{11}{\text{Nm}}^2{\text{kg}}^{-2}$

Answer 1

The correct option is C $6.67\times {10}^{-11}{\text{Nm}}^2{\text{kg}}^{-2}$

According to universal law of gravitation, the gravitational force between two objects is given by:
$\text{F}=\frac{\text{GMm}}{{\text{R}}^2}$
where:
$\text{G}:$ Gravitational constant
$\text{m},\text{M}:$ Masses of the bodies
$\text{R}:$ Distance between the bodies

The value of the universal gravitational constant is found to be
$6.67\times {10}^{-11}{\text{Nm}}^2{\text{kg}}^{-2}$