FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 28, Problem 5Q
In Module 28-2, we discussed a charged particle moving through crossed fields with the forces 
and 
in opposition. We found that the particle moves in a straight line (that is, neither force dominates the motion) if its speed is given by Eq. 28-7 (v = E/B). Which of the two forces dominates if the speed of the particle is (a) v < E/B and (b) v > E/B?
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In the figure above, three uniform thin rods, each of length L, form
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NOTE: Express your answer in terms of the variables given.
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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 28 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 28 - In Module 28-2, we discussed a charged particle...Ch. 28 - a In Checkpoint 5, if the dipole moment is rotated...Ch. 28 - Prob. 1PCh. 28 - An electron that has an instantaneous velocity of...Ch. 28 - An alpa particle travels at a velocity of...Ch. 28 - GO An electron moves through a unifrom magnetic...Ch. 28 - GO A proton moves through a uniform magnetic field...Ch. 28 - Prob. 7PCh. 28 - An electric field of 1.50 kV/m and a perpendicular...Ch. 28 - A proton travels through uniform magnetic and...
Ch. 28 - Prob. 11PCh. 28 - Go At time t1 an electron is sent along the...Ch. 28 - An alpha particle can be produced in certain...Ch. 28 - SSM An electron of kinetic energy 1.20 keV circles...Ch. 28 - In a nuclear experiment a proton with kinetic...Ch. 28 - What uniform magnetic field, applied perpendicular...Ch. 28 - An electron is accelerated from rest by a...Ch. 28 - a Find the frequency of revolution of an electron...Ch. 28 - A particle undergoes uniform circular motion of...Ch. 28 - An electron follows a helical path in a uniform...Ch. 28 - A particular type of fundamental particle decays...Ch. 28 - An source injects an electron of speed v = 1.5 ...Ch. 28 - Prob. 33PCh. 28 - An electron follows a helical path in a uniform...Ch. 28 - A proton circulates in a cyclotron, beginning...Ch. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - In a certain cyclotron a proton moves in a circle...Ch. 28 - SSM A horizontal power line carries a current of...Ch. 28 - A wire 1.80 m long carries a current of 13.0 A and...Ch. 28 - A single-turn current loop, carrying a current of...Ch. 28 - ACA /ACwire 50.0 cm long carries a 0.500 A current...Ch. 28 - GO A 1.0 kg copper rod rests on two horizontal...Ch. 28 - GO A long, rigid conductor, lying along an x axis,...Ch. 28 - An electron moves in a circle of radius r = 5.29 ...Ch. 28 - Prob. 53PCh. 28 - A magnetic dipole with a dipole moment of...Ch. 28 - Prob. 56PCh. 28 - Prob. 57PCh. 28 - Prob. 58PCh. 28 - A Current loop, carrying a current of 5.0 A, is in...Ch. 28 - A circular loop of wire having a radius of 8.0 cm...Ch. 28 - Prob. 65PCh. 28 - Prob. 66PCh. 28 - A stationary circular wall clock has a face with a...Ch. 28 - A wire lying along a y axis from y = 0 to y =...Ch. 28 - Prob. 70PCh. 28 - Physicist S. A. Goudsmit devised a method for...Ch. 28 - Prob. 73PCh. 28 - Prob. 74PCh. 28 - Prob. 75PCh. 28 - Prob. 79PCh. 28 - An electron is moving at 7.20 106 m/s in a...Ch. 28 - Prob. 81PCh. 28 - Prob. 82PCh. 28 - Prob. 83PCh. 28 - A write lying along an x axis from x = 0 to x =...Ch. 28 - At one instant, m/s is the velocity of a proton in...Ch. 28 - An electron has velocity km/s as it enters a...
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