The change in the value of g a height h above the surface of the earth is the same as a depth d below the surface of the earth-When both h and d are much smaller than the radius of earth-then which one of the following is true-a-h-2d-3h-2d-2hh-d

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Toppr Admin · Accepted Answer

G-x2032-g-1-x2212-2hR-g-1-x2212-dR-x2234-d-2h

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 the earth.When both $h$ and d are much smaller than the radius of earth,then which one of the following is true?
$a = h / 2$
$d = 3 h / 2$
$d = 2 h$
$h = d$

$g^{'} = g (1 - \frac{2 h}{R}) = g (1 - \frac{d}{R}) ∴ d = 2 h$

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 the earth.When both h and d are much smaller than the radius of earth,then which one of the following is true?a=h/2d=3h/2d=2hh=d

g′=g(1−2hR)=g(1−dR)∴d=2h

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 the earth.When both $h$ and d are much smaller than the radius of earth,then which one of the following is true?
$a = h / 2$
$d = 3 h / 2$
$d = 2 h$
$h = d$

$g^{'} = g (1 - \frac{2 h}{R}) = g (1 - \frac{d}{R}) ∴ d = 2 h$