The change in the value of $g$ at a height $h$ above the surface of the earth is the same as at a depth $d$ below the surface of earth. When both $d$ and $h$ are much smaller than the radius of earth, then which one of the following is correct ?

Question

( A ) $d = \frac{h}{2}$
( B ) $d = \frac{3h}{2}$
( C ) $d = 2h$
( D ) $d = h$