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

Question

Which graph correctly presents the variation of acceleration due to gravity with distance from the centre of the earth? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

gd = g(1- (d/g)) or gd = g (R - d/R) or gd = (gy/R) or gd propto y

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.

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

$g_{d} = g (1 - \frac{d}{g})$

or $g_{d} = g \frac{R - d}{R}$

or $g_{d} = \frac{g y}{R}$ or $g_{d} \propto y$

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 $O A$ of the graphs.

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

gd​=g(1−gd​) or gd​=gRR−d​ or gd​=Rgy​ or gd​∝y 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.

$g_{d} = g (1 - \frac{d}{g})$

or $g_{d} = g \frac{R - d}{R}$

or $g_{d} = \frac{g y}{R}$ or $g_{d} \propto y$

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 $O A$ of the graphs.