Maxwell Boltzmann Speed Distribution

[ramsharmjarm]

Homework Statement

The three quantities Vmost probable, Vaverage, and Vrms, are not the same for the Maxwell speed distribution in 3D. If you restrict the gas to only be one dimensional, are these three quantities equal to each other? Justify your answer with a short explanation.

Homework Equations

The Attempt at a Solution

The curve looks like gaussian curve. I know Vmostprobable is going to be the peak of the curve. And Vaverage would also be at the peak of the curve which is at V=0. I am not sure how to get Vrms

 

[vela]

What's the definition of $v_\text{rms}$?

 

[ramsharmjarm]

Root mean square velocity

 

[vela]

I was looking for perhaps a mathematical formula or some other indication that you know what those words mean.