Question

If the symbols have their usual meanings then $\frac{g{R}^2}{M}$ represents.

• A. $G$
• B. $G^2$
• C. $\frac{1}{G}$
• D. $\frac{1}{G^2}$

Answer 1

The correct option is A $G$

We know that the acceleration due to the gravity of a planet is $g=\frac{GM}{R^2}$, where $G$ is the gravitational constant, $M$ is the mass of the planet and $R$ is the radius of the planet.

$\Rightarrow \frac{g{R}^2}{M}=G$

Hence the correct answer is option $A$.