Masses of the earth and the moon are in the ratio `3:2` and the radii of the earth and the moon are in the ratio of `6:1`. The ratio of the weight of the body on their surface will be

Options

A. `(1)/(12)`
B. `(1)/(24)`
C. `(12)/(1)`
D. `(24)/(1)`

Answer

b

Explanation

`(mg_(E))/(mg_(M))=(W_(E))/(W_(M))=(M_(E))/(M_(M))xx(R_(M)^(2))/(R_(E)^(2))=(3)/(2)xx(1)/(36)=(1)/(24).`