Physics · GRAVITATION

For a small distance \( x \ll R_E \), let \( \Delta g_h \) be the decrease in acceleration due to gravity at a height \( h = x \) above the Earth's surface and \( \Delta g_d \) be the decrease at a depth \( d = x \) below the Earth's surface. The ratio \( \frac{\Delta g_h}{\Delta g_d} \) is:

1. A
   \( 2 \)
2. B
   \( 1 \)
3. C
   \( \frac{1}{2} \)
4. D
   \( 4 \)