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  4. The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then :

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Q. The acceleration due to gravity at a height $1\, km$ above the earth is the same as at a depth $d$ below the surface of earth. Then :

NEETNEET 2017Gravitation

Solution:

Above earth surface
$g'=g\left(1-\frac{2 h}{R_{e}}\right)$
$\Delta g'=g \frac{2 h}{R_{e}}$...(1)
From (1) & (2)
$d=2 h$
$d=2 \times 1\, km$
Below earth surface
$g'=g\left(1-\frac{d}{R_{e}}\right)$
$\Delta g=g \frac{d}{R_{e}}$...(2)