If the radius of the earth becomes half of its present value but its density remains unchanged then find the weight of body on the surface of earth.

If the radius of the earth becomes half of its present value but its d

1.	If the radius of the earth becomes half of its present value but its density remains unchanged then find the weight of body on the surface of earth.
Answer» <html><body><p></p>Solution :`implies g =(GM_(e))/R_e^2=G/(R_e^2)(4/3piR_e^3rho)=4/3 piR_erho`<br/>Since the <a href="https://interviewquestions.tuteehub.com/tag/radius-1176229" style="font-weight:bold;" target="_blank" title="Click to know more about RADIUS">RADIUS</a> becomes <a href="https://interviewquestions.tuteehub.com/tag/half-1014510" style="font-weight:bold;" target="_blank" title="Click to know more about HALF">HALF</a>, <br/> `g. = 4/3 piG((R_e)/2)rho =1/2 (4/3 pi GR_erho)` <br/> `:. g. =g/2 ` soweight becomes half <br/> Weight `W <a href="https://interviewquestions.tuteehub.com/tag/prop-607409" style="font-weight:bold;" target="_blank" title="Click to know more about PROP">PROP</a> g` <br/> `:. (W.)/W = (g.)/g` <br/> `:. W. = W <a href="https://interviewquestions.tuteehub.com/tag/xx-747671" style="font-weight:bold;" target="_blank" title="Click to know more about XX">XX</a> 1/2` <br/> ` :. W. = W/2`</body></html>