Which of the following graphs shows the correct variation of acceleration due to gravity with the height above the earth’s surface?

Question

Which of the following graphs shows the correct variation of acceleration due to gravity with the height above the earth’s surface? (A)  (B)  (C)  (D) None of these

Tardigrade Admin · Accepted Answer

Acceleration due to gravity with height h varies as g propto (1/ r 2) (when r=R+h ). Thus variation of g and r is a parabolic curve.

Q. Which of the following graphs shows the correct variation of acceleration due to gravity with the height above the earth’s surface?

None of these

Acceleration due to gravity with height $h$ varies as $g \propto \frac{1}{r ^{2}}$
(when $r = R + h$ ). Thus variation of $g$ and $r$ is a parabolic curve.

Q. Which of the following graphs shows the correct variation of acceleration due to gravity with the height above the earth’s surface?

None of these

Acceleration due to gravity with height h varies as g∝r21​ (when r=R+h ). Thus variation of g and r is a parabolic curve.

Acceleration due to gravity with height $h$ varies as $g \propto \frac{1}{r ^{2}}$
(when $r = R + h$ ). Thus variation of $g$ and $r$ is a parabolic curve.