PHYSICS:PRINCIPLES W/ APPLICATIONS
7th Edition
ISBN: 2818440037979
Author: GIANCOLI
Publisher: PEARSON
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Chapter 23, Problem 76GP
To determine
The length of wave trains in space.
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Question 3 of 17
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L
L
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In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
xcom
L
2
(b) What is the y coordinate of the system's center of mass?
Ycom
45
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Chapter 23 Solutions
PHYSICS:PRINCIPLES W/ APPLICATIONS
Ch. 23 - Prob. 1OQCh. 23 - Prob. 2OQCh. 23 - Prob. 1QCh. 23 - What is the focal length of a plane mirror? What...Ch. 23 - Prob. 3QCh. 23 - Prob. 4QCh. 23 - Prob. 5QCh. 23 - Prob. 6QCh. 23 - Prob. 7QCh. 23 - Prob. 8Q
Ch. 23 - Prob. 9QCh. 23 - Prob. 10QCh. 23 - Prob. 11QCh. 23 - You look into an aquarium and view a fish inside....Ch. 23 - Prob. 13QCh. 23 - Prob. 14QCh. 23 - A child looks into a pool to see how deep it is....Ch. 23 - Prob. 16QCh. 23 - Prob. 17QCh. 23 - Prob. 18QCh. 23 - Prob. 19QCh. 23 - Prob. 20QCh. 23 - Prob. 21QCh. 23 - Prob. 22QCh. 23 - Prob. 23QCh. 23 - Prob. 24QCh. 23 - Prob. 25QCh. 23 - Prob. 26QCh. 23 - Prob. 27QCh. 23 - Prob. 28QCh. 23 - Prob. 29QCh. 23 - Prob. 30QCh. 23 - Prob. 31QCh. 23 - Prob. 32QCh. 23 - Prob. 1MCQCh. 23 - Prob. 2MCQCh. 23 - Prob. 3MCQCh. 23 - Prob. 4MCQCh. 23 - Prob. 5MCQCh. 23 - Prob. 6MCQCh. 23 - Prob. 7MCQCh. 23 - Prob. 8MCQCh. 23 - Prob. 9MCQCh. 23 - Prob. 10MCQCh. 23 - Prob. 11MCQCh. 23 - Prob. 12MCQCh. 23 - Prob. 13MCQCh. 23 - Prob. 14MCQCh. 23 - Prob. 1PCh. 23 - Prob. 2PCh. 23 - Two plane mirrors meet at a 1350 angle, Fig....Ch. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - Suppose you are 94 cm from a plane mirror. What...Ch. 23 - A solar cooker, really a concave mirror pointed at...Ch. 23 - How far from a concave mirror (radius 21.0 cm)...Ch. 23 - A small candle is 38 cm from a concave mirror...Ch. 23 - An object 3.0 mm high is placed 16 cm from a...Ch. 23 - A dentist wants a small mirror that, when 2.00 cm...Ch. 23 - You are standing 3.4 m from a convex security...Ch. 23 - The image of a distant tree is virtual and very...Ch. 23 - Prob. 15PCh. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - Some rearview mirrors produce images of cars to...Ch. 23 - Prob. 19PCh. 23 - Prob. 20PCh. 23 - Prob. 21PCh. 23 - Prob. 22PCh. 23 - Prob. 23PCh. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - Prob. 27PCh. 23 - Prob. 28PCh. 23 - Prob. 29PCh. 23 - Prob. 30PCh. 23 - Rays of the Sunare seen to make a 36.0° angle to...Ch. 23 - Prob. 32PCh. 23 - A beam of light in air strikes a slab of glass (n...Ch. 23 - Prob. 34PCh. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - 39. (Ill) (a) What is the minimum index of...Ch. 23 - 40. (Ill) A beam of light enters the end of an...Ch. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - A stamp collector uses a converging lens with...Ch. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - Prob. 51PCh. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - A diverging lens with f= -36.5 cm is placed 14.0...Ch. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - Two lenses, one converging with focal length 20.0...Ch. 23 - Prob. 62PCh. 23 - A double concave lens has surface radii of 33.4 cm...Ch. 23 - Prob. 64PCh. 23 - Prob. 65PCh. 23 - Prob. 66PCh. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69GPCh. 23 - Prob. 70GPCh. 23 - Prob. 71GPCh. 23 - The critical angle of a certain piece of plastic...Ch. 23 - Prob. 73GPCh. 23 - Prob. 74GPCh. 23 - Prob. 75GPCh. 23 - Prob. 76GPCh. 23 - 77
77. If the apex of a prism is ? = 75o (see...Ch. 23 - Prob. 78GPCh. 23 - Prob. 79GPCh. 23 - Prob. 80GPCh. 23 - Prob. 81GPCh. 23 - Prob. 82GPCh. 23 - Prob. 83GPCh. 23 - Figure 23-65is a photograph of an eyeball with the...Ch. 23 - Prob. 85GPCh. 23 - Prob. 86GPCh. 23 - 87 ‘(a) Show that if two thin lenses of focal...Ch. 23 - Prob. 88GPCh. 23 - Prob. 89GPCh. 23 - Prob. 90GP
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