The mass of planet is 1/64 of the earth but the gravitational pull is 1/9 of the earth. It is due to this reason

Options

A. radius of that planet is 64/9 of the earth
B. radius of the earth is 8/3 of that planet
C. radius of the earth is 3/8 of that planet
D. none

Answer

b

Explanation

`(g_(2))/(g_(1))=(M_(2))/(M_(1))xx(R_(1)^(2))/(R_(2)^(2))`
`therefore" "(R_(1))/(R_(2))=sqrt((g_(1))/(g_(1))xx(M_(1))/(M_(2)))=sqrt((1)/(9)xx64)=(8)/(3)R_(2).`