QJEEM22Ph6fe0: JEE Main 2022 Physics - Class 11 JEEM22Ph6fe0 Solution: The approximate height from the surface of earth at which the…

Question

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The approximate height from the surface of earth at which the weight of the body becomes ${1 \over 3}$ of its weight on the surface of earth is :

[Radius of earth R = 6400 km and $\sqrt 3$ = 1.732]

Accepted Answer

According to the given information

${{GM} \over {{{(R + h)}^2}}} = {1 \over 3} \times {{GM} \over {{R^2}}}$

$\Rightarrow R + h = \sqrt 3 R$

$\Rightarrow h = (\sqrt 3 - 1)R \simeq 4685$ km

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