- #1
Vrbic
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Homework Statement
What is the most likely speed in Maxwell-Boltzamann distribution?
Homework Equations
[itex] f(v)dv=4\pi(\frac{m}{2 \pi kT})^{3/2}v^2Exp(-\frac{mv^2}{2kT})dv[/itex]
The Attempt at a Solution
I know I need maximum of f(v) -> [itex]\frac{df}{dv}=0[/itex]. But it is not trivial to do. I found some solution where they said: [itex]\frac{d}{dv^2}(\ln[v^2Exp(-\frac{mv^2}{2kT})])=0[/itex]. But I don't know how they arrive to it. Could somebody advise?