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 $\alpha h \ (h \ll Re)$ from the earth surface. The value of α will be ________.
(Use Re=6400 km)

Answer 1

$g(1 - \frac{2h}{R}) = g(1 - \frac{d}{R})$
$⇒ 2h = d$
$⇒ α = 2$
So, the answer is 2.