Question

if the change in the value of G at a height h above the surface of earth is same at the depth of 'x' below the surface of earth then value of x in terms of R and h is...?

Answer 1

Explanation:

let gh be the acceleration due to gravity at height h.

gx be the acceleration due to gravity at depth x.

The acceleration due to gravity on the surface of earthis g= GM /R2

where R is the radius o earth ,M is mass of earth and G is gravitational constant.

g = 1/ r2

gh/g=R2/(R+h) 2

gh/g=(1-2gh/R)

2gh/R=gx/R

x=2h