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.