jee-main 2005 Q25

jee-main · India Not Maths
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?
(1) $d = \frac{h}{2}$
(2) $\mathrm{d} = \frac{3\mathrm{h}}{2}$
(3) $d = 2\mathrm{h}$
(4) $d = h$
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?\\
(1) $d = \frac{h}{2}$\\
(2) $\mathrm{d} = \frac{3\mathrm{h}}{2}$\\
(3) $d = 2\mathrm{h}$\\
(4) $d = h$