ObjectiveMcq
Print Protected
This page is protected for print. Use the website to view the content.
If the radius of the Earth were doubled (mass unchanged), what would happen to the value of g (acceleration due to gravity) at the surface?
g would double
g would remain the same
g would become one-fourth
g would halve
Correct Answer: C — g would become one-fourth
g=GM/R2g = GM/R^2g=GM/R2. If R doubles, ggg becomes GM/(2R)2=g/4GM/(2R)^2 = g/4GM/(2R)2=g/4. So g becomes one-fourth.
