Question

The ratio of the value of gravitational constant $G$ between Earth and Moon system and Earth and Sun system is:

• A. Greater than $1$
• B. Less than $1$
• C. Equal to $1$
• D. Can't be determined

Answer 1

The correct option is C Equal to $1$

According to Newton's law of gravitation, every body in the universe attracts every other body with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

$F=\propto \frac{Mm}{r^2}$

$F=G\frac{Mm}{r^2}$

Gravitational constant $G$ is the proportionality constant which has fixed value $6.67408\times {10}^{-11}{m}^{3}k{g}^{-1}{s}^{-2}$.

Therefore, the ratio of the value of gravitational constant $G$ between Earth and Moon system and Earth and Sun system is equal to 1. (Because it has the same value)