JEE MAIN - Physics (2022 - 29th July Morning Shift - No. 21)
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 $$\alpha \mathrm{h}\left(\mathrm{h}<<\mathrm{R}_{\mathrm{e}}\right)$$ from the earth surface. The value of $$\alpha$$ will be _________.
(use $$\left.\mathrm{R}_{\mathrm{e}}=6400 \mathrm{~km}\right)$$
Răspuns
2
Explicaţie
$$g\left( {1 - {{2h} \over R}} \right) = g\left( {1 - {d \over R}} \right)$$
$$ \Rightarrow 2h = d$$
$$ \Rightarrow \alpha = 2$$