(a) 1 Show that Cπ/2 S * de ƒ (0) = √ √„** do [ƒ (0) + ƒ(0)] where f() is any function of 0. (b) Show that the total flux of particles along the z-axis passing the area element is F₂ π/2 == 1 -v de sin # cos Ꮎ dr P(r) [n(r cos 0) - n(-r cos 0)] where is the mean particle speed. Hint: Use the result of part (a) with f(0) = sin cos fdr Pr(r)n(r cos 0) and employ the identities sin(7-0) = sin and cos( 0) = = cos 0. -
(a) 1 Show that Cπ/2 S * de ƒ (0) = √ √„** do [ƒ (0) + ƒ(0)] where f() is any function of 0. (b) Show that the total flux of particles along the z-axis passing the area element is F₂ π/2 == 1 -v de sin # cos Ꮎ dr P(r) [n(r cos 0) - n(-r cos 0)] where is the mean particle speed. Hint: Use the result of part (a) with f(0) = sin cos fdr Pr(r)n(r cos 0) and employ the identities sin(7-0) = sin and cos( 0) = = cos 0. -
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)...
Related questions
Question
![(a)
1 Show that
Cπ/2
S * de ƒ (0) = √ √„**
do [ƒ (0) + ƒ(0)]
where f() is any function of 0.
(b) Show that the total flux of particles along the z-axis passing the area
element is
F₂
π/2
==
1
-v
de sin # cos Ꮎ
dr P(r) [n(r cos 0) - n(-r cos 0)]
where is the mean particle speed. Hint: Use the result of part (a) with
f(0) = sin cos fdr Pr(r)n(r cos 0) and employ the identities sin(7-0) =
sin and cos( 0) = = cos 0.
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7da85f22-ea25-4374-9c21-6a25281f5927%2F5526b22e-54e3-421d-aeeb-345b975e8a44%2Faxhacmi_processed.png&w=3840&q=75)
Transcribed Image Text:(a)
1 Show that
Cπ/2
S * de ƒ (0) = √ √„**
do [ƒ (0) + ƒ(0)]
where f() is any function of 0.
(b) Show that the total flux of particles along the z-axis passing the area
element is
F₂
π/2
==
1
-v
de sin # cos Ꮎ
dr P(r) [n(r cos 0) - n(-r cos 0)]
where is the mean particle speed. Hint: Use the result of part (a) with
f(0) = sin cos fdr Pr(r)n(r cos 0) and employ the identities sin(7-0) =
sin and cos( 0) = = cos 0.
-
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