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» <html><body><p></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/g-1003017" style="font-weight:bold;" target="_blank" title="Click to know more about G">G</a> = `GM/R^2` = `G/R^2 4/3 piR^3rho` = `4/3 piGR <a href="https://interviewquestions.tuteehub.com/tag/rho-623364" style="font-weight:bold;" target="_blank" title="Click to know more about RHO">RHO</a>` <br/> g = `4/3 piG (R/2) rho` = g/2 . Hence the weight of the <a href="https://interviewquestions.tuteehub.com/tag/object-11416" style="font-weight:bold;" target="_blank" title="Click to know more about OBJECT">OBJECT</a> will be <a href="https://interviewquestions.tuteehub.com/tag/halved-2104643" style="font-weight:bold;" target="_blank" title="Click to know more about HALVED">HALVED</a>.</body></html>