Question

The radius of the Moon is about one-fourth that of the Earth and acceleration due to gravity on the Moon is about one-sixth that on the Earth. From this we can conclude that the ratio of the mass of Earth in the mass of the Moon is about___________.

• A. 10
• B. 100
• C. 1, 000
• D. 10, 000

Answer 1

The correct option is B 100

g = $\frac{G{M}_{planet}}{r^2}$

or $M_{planet}\alpha g{r}^2$

or mass of moon is = (mass of earth)$\times$$\frac{1}{6}$ $\times$ $\frac{1}{16}$ = $\frac{massofearth}{96}$

so, ans is B