(a) Show that is the Maxwell–Boltzmann distribution of Eq. (18.32). (b) In terms of the physical definition of ƒ(?v?), explain why the integral in part (a) ?must ?have this value.
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Solution 84P 3 mv2 a) (v)dv = 4( m )2 v e 2kTdv 0 2 kT 0 m 2 1 = 4( 2kT ) (4(2kT) 2kT = 1 b) f(v)dv is the probability that a particle has speed between v and v+dv, the probability that the particle has some speed is unity, so the sum (integral ) of f(v) must be 1
Textbook: University Physics
Author: Hugh D. Young, Roger A. Freedman
This full solution covers the following key subjects: Boltzmann, definition, distribution, explain, integral. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 84P from chapter: 18 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “(a) Show that is the Maxwell–Boltzmann distribution of Eq. (18.32). (b) In terms of the physical definition of ƒ(?v?), explain why the integral in part (a) ?must ?have this value.” is broken down into a number of easy to follow steps, and 30 words. Since the solution to 84P from 18 chapter was answered, more than 291 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460.