JEE MAIN - Physics (2022 - 24th June Morning Shift - No. 10)
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]
3840 km
4685 km
2133 km
4267 km
Explanation
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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