Let the acceleration due to gravity be `g_(1)` at a height `h` above the earth's surface `g_(2)` at a depth `d` below the earth's surface. If `g_(1)=g_(2),h lt lt R` and `d lt lt R` then

Options

A. `h=d`
B. `h=2d`
C. `2h=d`
D. it is not possible for `g_(1)` to be equal to `g_(2)`

Answer

C

Explanation

`g_(1)=g(1-(2h)/(R_(e))), g_(2)=g(1-(d)/(R_(e)))`
`g_(1)=g_(2) implies 2h=d`