If three gas molecules have velocity `0.5`, `1` and `2 km//s` respectively, find the ratio of their root mean square speed and average speed.

Options

A. `V_(rms)=(V_(avg))/(2)`
B. `V_(rms)=V_(avg)`
C. `V(r.m.s)=1.134V_(av)`
D. `V_(rms)=2V_(avg)`

Answer

C

Explanation

`V_(rms)=sqrt((V_(1)^(2)+V_(2)^(2)+V_(3)^(2))/(3))`
=1.323
`V_(rms)=(V_(1)+V_(2)+V_(3))/(3)=1.67km//s`
`V_(rms)=1.134V_(avg)`