Question

If the acceleration due to gravity experienced by a point mass at a height $h$ above the surface of earth is same as that of the acceleration due to gravity at a depth $\alpha h$ (h $\ll R_e$ ) from the earth surface. The value of $\alpha$ will be
(use $R_e=6400km$ )

Answer 1

Answer: 2

$g\left(1-\frac{2h}{R}\right)=g\left(1-\frac{d}{R}\right)$
$\frac{2h}{R}=\frac{d}{R}$
$\alpha h=d$
$\alpha =2$