College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Question
Chapter 15, Problem 26P
a.
To determine
The wavelength of sound waves.
b.
To determine
Depth of the shipwreck if the echoes were detected 0.42s after the sound waves were emitted.
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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 15 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 15 - a. In your own words, define what a transverse...Ch. 15 - a. In your own words, define what a longitudinal...Ch. 15 - Is it ever possible for one sound wave in air to...Ch. 15 - A wave pulse travels along a string at a speed of...Ch. 15 - Harbor seals, like many animals, determine the...Ch. 15 - A thermostat on the wall of your house keeps track...Ch. 15 - When water freezes, the density decreases and the...Ch. 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. 11CQ
Ch. 15 - Bottlenose dolphins use echolocation pulses with a...Ch. 15 - Some bat species have auditory systems that work...Ch. 15 - Prob. 14CQCh. 15 - When you want to snap a towel, the best way to...Ch. 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. 19CQCh. 15 - Denver, Colorado, has an oldies station that calls...Ch. 15 - What is the frequency of blue light with a...Ch. 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 - A hammer taps on the end of a 4.00-m-long metal...Ch. 15 - In an early test of sound propagation through the...Ch. 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 - Figure P15.11 is a history graph at x = 0 m of a...Ch. 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 - Figure P15.18 is a snapshot graph of a wave at t =...Ch. 15 - Figure P15.19 is a history graph at x = 0 m of a...Ch. 15 - A boat is traveling at 4.0 m/s in the same...Ch. 15 - In the deep ocean, a water wave with wavelength 95...Ch. 15 - People with very good pitch discrimination can...Ch. 15 - A dolphin emits ultrasound at 100 kHz and uses the...Ch. 15 - a. What is the wavelength of a 2.0 MHz ultrasound...Ch. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 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. 31PCh. 15 - Prob. 32PCh. 15 - A large solar panel on a spacecraft in Earth orbit...Ch. 15 - Prob. 34PCh. 15 - LASIK eye surgery uses pulses of laser light to...Ch. 15 - At noon on a sunny day, the intensity of sunlight...Ch. 15 - Prob. 37PCh. 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 - You hear a sound at 65 dB. What is the sound...Ch. 15 - The sound intensity from a jack hammer breaking...Ch. 15 - A concert loudspeaker suspended high off the...Ch. 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 - A woman wearing an in-ear hearing aid listens to a...Ch. 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. 51PCh. 15 - While anchored in the middle of a lake, you count...Ch. 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 - Oil explorers set off explosives to make loud...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. 60GPCh. 15 - An earthquake produces longitudinal P waves that...Ch. 15 - Figure P15.62 Q shows two snapshot graphs taken 10...Ch. 15 - Low-frequency vertical oscillations are one...Ch. 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 - Write the y-equation for a wave traveling in the...Ch. 15 - A wave is described by the expression y(x, t) =...Ch. 15 - A point on a string undergoes simple harmonic...Ch. 15 - a. A typical 100 W lightbulb produces 4.0 W of...Ch. 15 - Prob. 70GPCh. 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. 76GPCh. 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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