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Variation of G Due to Height and Depth

The atmospher...

Question

The atmosphere on a planet is possible only if
[ $v_{r m s}$ is root mean square speed of gas molecules on planet and $v_{e}$ is escape speed on its surface]

v_{r m s} = v_{e}

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v_{r m s} > v_{e}

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v_{r m s} \leq v_{e}

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v_{r m s} < v_{e}

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Solution

The correct option is D $v_{r m s} < v_{e}$

The atmosphere on a planet is possible only if $v_{r m s} < v_{e}$
if $v_{r m s} \geq v_{e s c a p e}$ the gas molecule will leave the surroundings of the planet. i.e, will be free from gravitational pull of the planet.

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