Answer :
Answer:
The ratio of the translational rms speed in the ionosphere to the translational rms near the earth's surface is [tex]\sqrt 3 :1[/tex]
Explanation:
The relation between the translational rms speed and the temperature is given by :
[tex]v_{rms}=\sqrt{\dfrac{3kT}{m}}[/tex]
So, [tex]v_{rms}\propto \dfrac{1}{\sqrt{T} }[/tex]
When the temperature is three times greater.
[tex]v'_{rms}=\dfrac{1}{3T}[/tex]
The ratio of the translational rms speed in the ionosphere to the translational rms near the earth's surface is :
[tex]\dfrac{v_{rms}}{v'{rms}}=\dfrac{\sqrt 3}{1}[/tex]
Hence, this is the required solution.