Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 29, Problem 65P
To determine
Determine the wave equation for wave with speed
c = 1 / ε 0 μ 0
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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
Sketch the harmonic.
Chapter 29 Solutions
Essential University Physics
Ch. 29.2 - Would you expect to find a magnetic field between...Ch. 29.5 - Prob. 29.3GICh. 29.6 - Prob. 29.4GICh. 29.7 - Prob. 29.5GICh. 29.8 - Lasers 1 and 2 emit light of the same color, and...Ch. 29 - Why is Maxwells modification of Ampres law...Ch. 29 - Prob. 2FTDCh. 29 - Prob. 3FTDCh. 29 - Prob. 4FTDCh. 29 - When astronomers observe a supernova explosion in...
Ch. 29 - The Sun emits about half of its...Ch. 29 - An LC circuit is made entirely from...Ch. 29 - Prob. 8FTDCh. 29 - The intensity of light drops as the inverse square...Ch. 29 - Electromagnetic waves dont readily penetrate...Ch. 29 - Prob. 11ECh. 29 - Prob. 12ECh. 29 - The fields of an electromagnetic wave are E = Ep...Ch. 29 - A radio waves electric field is given by the...Ch. 29 - A light-minute is the distance light travels in 1...Ch. 29 - Your intercontinental telephone call is carried by...Ch. 29 - An airplanes radar altimeter works by bouncing...Ch. 29 - Roughly how long does it take light to travel 1...Ch. 29 - If you speak via radio from Earth to an astronaut...Ch. 29 - What are the wavelengths of (a) a 100-MHz FM radio...Ch. 29 - A 60-Hz power line emits electromagnetic...Ch. 29 - Microwave ovens for consumers use operate at 2.45...Ch. 29 - Prob. 23ECh. 29 - Prob. 24ECh. 29 - Vertically polarized light passes through a...Ch. 29 - Prob. 26ECh. 29 - Prob. 27ECh. 29 - Estimate the peak electric field inside a 1.1-kW...Ch. 29 - Prob. 29ECh. 29 - Prob. 30ECh. 29 - Your university radio station has a 5.0-kW radio...Ch. 29 - Example 29.2: A green laser pointer produces...Ch. 29 - Example 29.2: An infrared laser that sends signals...Ch. 29 - Example 29.2: An AM radio station broadcasts with...Ch. 29 - A public FM radio station broadcasts at 88.7 MHz....Ch. 29 - When the cellphone of Example 29.4 find itself in...Ch. 29 - What transmitter power would be needed for a...Ch. 29 - The Voyager 1 spacecraft, now in interstellar...Ch. 29 - Example 29.4: Rovers on the surface of Mars...Ch. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - The medical profession divides the ultraviolet...Ch. 29 - Prob. 43PCh. 29 - A polarizer blocks 75% of a polarized light beam....Ch. 29 - Prob. 45PCh. 29 - Unpolarized light of intensity S0 passes first...Ch. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - High microwave intensities can cause biological...Ch. 29 - Use the fact that sunlight intensity at Earths...Ch. 29 - A quasar 10 billion light-years from Earth appears...Ch. 29 - Prob. 52PCh. 29 - Prob. 53PCh. 29 - Find the peak electric and magnetic fields 1.5 m...Ch. 29 - Prob. 55PCh. 29 - Prob. 56PCh. 29 - A laser produces an average power of 7.0 W in a...Ch. 29 - Prob. 58PCh. 29 - A 65-kg astronaut is floating in empty space. If...Ch. 29 - Prob. 60PCh. 29 - A white dwarf star is approximately the size of...Ch. 29 - Prob. 62PCh. 29 - In a stack of polarizing sheets, each sheet has...Ch. 29 - Prob. 64PCh. 29 - Prob. 65PCh. 29 - Maxwells equations in a dielectric resemble those...Ch. 29 - Prob. 67PCh. 29 - Prob. 68PCh. 29 - Earth emits infrared radiation at very rearly the...Ch. 29 - Prob. 70PCh. 29 - Prob. 71PCh. 29 - The table below shows the intensity of the radio...Ch. 29 - If a sunlight-powered sailing spacecraft...Ch. 29 - Prob. 74PPCh. 29 - A sail capable of propelling a spacecraft to the...Ch. 29 - Prob. 76PP
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