a) Use the following equation 1/2 Bm 8(v.)dv, = () exp(-Bm dvx 2n to show that in one dimension the root mean square velocity is given by KT/2 Vrms = (Varms) m b) Show that the first equation of this exercise can be described by 8(vx)dvx = (27)-1/² (vxrms)~' exp| dvx

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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a) Use the following equation
1/2
Bm
8(v.)dv, = ()
exp(-Bm? )dv.
2n
to show that in one dimension the root mean square velocity is given by
KT\ '/2
Vrms = (Verms)
m
b) Show that the first equation of this exercise can be described by
8(vx)dvx = (27)¯1/² (vxrms)¯' exp|
dvx
Transcribed Image Text:a) Use the following equation 1/2 Bm 8(v.)dv, = () exp(-Bm? )dv. 2n to show that in one dimension the root mean square velocity is given by KT\ '/2 Vrms = (Verms) m b) Show that the first equation of this exercise can be described by 8(vx)dvx = (27)¯1/² (vxrms)¯' exp| dvx
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