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  4. The atmosphere on a planet is possible only if [where v rms is root mean square speed of gas molecules on planet and ve is escape speed on its surface]

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Q. The atmosphere on a planet is possible only if [where $v_{ rms }$ is root mean square speed of gas molecules on planet and $v_{e}$ is escape speed on its surface]

Gravitation

Solution:

The atmosphere on a planet is possible only if $v_{ rms } < v_{ e }$
If $v_{\text {rms }} \geq v_{\text {escape }}$ the gas molecules will leave the surroundings of the planet, i.e., will be free from gravitational pull of the planet.