Kinetic Theory Of Gases Question 109

Question: On any planet, the presence of atmosphere implies ( $ C _{rms} $ = root mean square velocity of molecules and $ V _{e} $ = escape velocity)

Options:

A) $ C _{rms}«V _{e} $

B) $ C _{rms}>V _{e} $

C) $ C _{rms}=V _{e} $

D) $ C _{rms}=0 $

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Answer:

Correct Answer: A

Solution:

[a] Since $ C _{rms}«V _{e}, $ hence molecules do not escape out.