Q

For h much smaller than Earth's radius R, how does the ratio of gravity at depth h to gravity at altitude h vary with h?

RRB Group-D 02/11/2018 / Shift I 2018
✓ Answer: D It increases linearly
In the uniform-density approximation, g_depth ≈ g(1 - h/R) and g_height ≈ g(1 - 2h/R). Their ratio is approximately 1 + h/R.