If the diameter of the earth becomes half its present value but its average density remains unchanged then how would the weight of an object on the surface of the earth be affected?

If the diameter of the earth becomes half its present value but its av

1.	If the diameter of the earth becomes half its present value but its average density remains unchanged then how would the weight of an object on the surface of the earth be affected?
Answer» Solution :G = `GM/R^2` = `G/R^2 4/3 piR^3rho` = `4/3 piGR RHO` g = `4/3 piG (R/2) rho` = g/2 . Hence the weight of the OBJECT will be HALVED.