1. Tardigrade
  2. Question
  3. Physics
  4. Which graph correctly presents the variation of acceleration due to gravity with distance from the centre of the earth?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Which graph correctly presents the variation of acceleration due to gravity with distance from the centre of the earth?

Gravitation

Solution:

image
$g_d = g(1- \frac{d}{g})$
or $g_d = g \frac{R - d}{R}$
or $g_d = \frac{gy}{R} $ or $g_d \propto y$
image
So, within the Earth, the acceleration due to gravity varies linearly, with the distance from the centre of the Earth. This explains the linear portion $OA$ of the graphs.