We know that F = {πΊππ \over π^2} as weight of a body is the force with which a body is attracted towards the earth,
β΄ W = {πΊππ \over π^2}
If the radius of the earth becomes twice of its original radius, then
W = {πΊππ \over (2π^2)}
= {πΊππ \over 4π^2}Β Β = {π \over 4}
i.e., weight will be reduced to one-fourth of the original.