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  4. If the radius of the earth is R , then the height h at which the value of g becomes one-fourth, will be

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Q. If the radius of the earth is $R$ , then the height $h$ at which the value of $g$ becomes one-fourth, will be

NTA AbhyasNTA Abhyas 2020Gravitation

Solution:

$g^{'} = \frac{g}{\left(\right. 1 + \frac{h}{R} \left.\right)^{2}} = \frac{g}{4}$
$1 + \frac{h}{R} = 2$
$\Rightarrow h = R$