COLLEGE PHYSICS,AP EDITION >NASTA ED.<
4th Edition
ISBN: 9780134779218
Author: Knight
Publisher: PEARSON
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Chapter 15, Problem 18CQ
To determine
To rank: The frequencies from maximum to minimum.
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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.
For number 11 please sketch the harmonic on graphing paper.
Chapter 15 Solutions
COLLEGE PHYSICS,AP EDITION >NASTA ED.<
Ch. 15 - a. In your own words, define what a transverse...Ch. 15 - a. In your own words, define what a longitudinal...Ch. 15 - Prob. 3CQCh. 15 - Prob. 4CQCh. 15 - A wave pulse travels along a string at a speed of...Ch. 15 - Harbor seals, like many animals, determine the...Ch. 15 - Prob. 7CQCh. 15 - Prob. 8CQCh. 15 - Figure Q15.9 Q shows a history graph of the motion...Ch. 15 - Figure Q15.10 Q shows a history graph and a...
Ch. 15 - Prob. 11CQCh. 15 - Bottlenose dolphins use echolocation pulses with a...Ch. 15 - Some bat species have auditory systems that work...Ch. 15 - Prob. 14CQCh. 15 - The volume control on a stereo is designed so that...Ch. 15 - A bullet can travel at a speed of over 1000 m/s....Ch. 15 - Prob. 18CQCh. 15 - Prob. 19CQCh. 15 - Prob. 20MCQCh. 15 - Prob. 21MCQCh. 15 - Ultrasound can be used to deliver energy to...Ch. 15 - A sinusoidal wave traveling on a string has a...Ch. 15 - Two strings of different linear density are joined...Ch. 15 - You stand at x = 0 m, listening to a sound that is...Ch. 15 - The wave speed on a string under tension is 200...Ch. 15 - The wave speed on a string is 150 m/s when the...Ch. 15 - The back wall of an auditorium is 26.0 m from the...Ch. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - An earthquake 45 km from a city produces P and S...Ch. 15 - A stationary boat in the ocean is experiencing...Ch. 15 - Figure P15.9 Q is a snapshot graph of a wave at t...Ch. 15 - Figure P15.10Q is a snapshot graph of a wave at t...Ch. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Prob. 13PCh. 15 - A sinusoidal wave has period 0.20 s and wavelength...Ch. 15 - A sinusoidal wave travels with speed 200 m/s. Its...Ch. 15 - The motion detector used in a physics lab sends...Ch. 15 - The displacement of a wave traveling in the...Ch. 15 - A traveling wave has displacement given by y(x, t)...Ch. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - People with very good pitch discrimination can...Ch. 15 - A dolphin emits ultrasound at 100 kHz and uses the...Ch. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Sound is detected when a sound wave causes the...Ch. 15 - At a rock concert, the sound intensity 1.0 m in...Ch. 15 - Prob. 33PCh. 15 - A large solar panel on a spacecraft in Earth orbit...Ch. 15 - Prob. 36PCh. 15 - LASIK eye surgery uses pulses of laser light to...Ch. 15 - Prob. 38PCh. 15 - Prob. 39PCh. 15 - What is the sound intensity level of a sound with...Ch. 15 - What is the sound intensity of a whisper at a...Ch. 15 - Prob. 42PCh. 15 - The sound intensity from a jack hammer breaking...Ch. 15 - A concert loudspeaker suspended high off the...Ch. 15 - Prob. 45PCh. 15 - A rock band playing an outdoor concert produces...Ch. 15 - Your ears are sensitive to differences in pitch,...Ch. 15 - 30 seconds of exposure to 115 dB sound can damage...Ch. 15 - Prob. 50PCh. 15 - An opera singer in a convertible sings a note at...Ch. 15 - An ospreys call is a distinct whistle at 2200 Hz....Ch. 15 - A whistle you use to call your hunting dog has a...Ch. 15 - An echocardiogram uses 4.4 MHz ultrasound to...Ch. 15 - Prob. 55PCh. 15 - A Doppler blood flow unit emits ultrasound at 5.0...Ch. 15 - A train whistle is heard at 300 Hz as the train...Ch. 15 - A 2.0-m-long string is under 20 N of tension. A...Ch. 15 - A female orb spider has a mass of 0.50 g. She is...Ch. 15 - A spider spins a web with silk threads of density...Ch. 15 - In 2003, an earthquake in Japan generated 1.1 Hz...Ch. 15 - Prob. 64GPCh. 15 - Prob. 65GPCh. 15 - Prob. 66GPCh. 15 - Low-frequency vertical oscillations are one...Ch. 15 - Prob. 68GPCh. 15 - Prob. 69GPCh. 15 - A wave on a string is described by y(x, t) = (3.0...Ch. 15 - Write the y-equation for a wave traveling in the...Ch. 15 - A point on a string undergoes simple harmonic...Ch. 15 - Prob. 73GPCh. 15 - Prob. 74GPCh. 15 - A dark blue cylindrical bottle is 22 cm high and...Ch. 15 - Assume that the opening of the ear canal has a...Ch. 15 - The sound intensity 50 m from a wailing tornado...Ch. 15 - One of the loudest sound generators ever created...Ch. 15 - A harvest mouse can detect sounds below the...Ch. 15 - Prob. 80GPCh. 15 - A physics professor demonstrates the Doppler...Ch. 15 - When the heart pumps blood into the aorta, the...Ch. 15 - Although we cant hear them, the ultrasonic pulses...Ch. 15 - Bats are sensitive to very small changes in...Ch. 15 - Some bats have specially shaped noses that focus...Ch. 15 - Some bats utilize a sound pulse with a rapidly...
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