The acceleration due to gravity at a height h above the surface of the earth is the same as its value at a depth d below the earth's surface . Find the relationship between d and h.

Explanation

Acceleration due to gravity at a height ,
`g_1=g(1-(2h)/R),` where R=radius of the earth
Also, the value of acceleration due to gravity at a depth d.
`g_2=g(1-d/R)`
Given `g_1=g_2 or, g(1-(2h)/R)=g(1-d/R) or, d=2h`.