EBK UNIVERSITY PHYSICS W/MOD.PHYS.
14th Edition
ISBN: 9780133977943
Author: YOUNG
Publisher: PEARSON CO
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Chapter 16, Problem 16.47E
Two train whistles, A and B, each have a frequency of 392 Hz. A is stationary and B is moving toward the right (away from A) at a speed of 35.0 m/s. A listener is between the two whistles and is moving toward the right with a speed of 15.0 m/s (Fig. E16.47). No wind is blowing. (a) What is the frequency from A as heard by the listener? (b) What is the frequency from B as heard by the listener? (c) What is the beat frequency detected by the listener?
Figure E16.47
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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 16 Solutions
EBK UNIVERSITY PHYSICS W/MOD.PHYS.
Ch. 16.1 - You use an electronic signal generator to produce...Ch. 16.2 - Mercury is 13.6 times denser than water. Based on...Ch. 16.3 - Prob. 16.3TYUCh. 16.4 - If you connect a hose to one end of a metal pipe...Ch. 16.5 - A stopped organ pipe of length L has a fundamental...Ch. 16.6 - Suppose that speaker A in Fig. 16.23 emits a...Ch. 16.7 - One tuning fork vibrates at 440 Hz, while a second...Ch. 16.8 - You are at an outdoor concert with a wind blowing...Ch. 16.9 - What would you hear if you were directly behind...Ch. 16 - Prob. 16.1DQ
Ch. 16 - The hero of a western movie listens for an...Ch. 16 - Would you expect the pitch (or frequency) of an...Ch. 16 - In most modern wind instruments the pitch is...Ch. 16 - Symphonic musicians always warm up their wind...Ch. 16 - In a popular and amusing science demonstration, a...Ch. 16 - Prob. 16.7DQCh. 16 - (a) Does a sound level of 0 dB mean that there is...Ch. 16 - Which has a more direct influence on the loudness...Ch. 16 - If the pressure amplitude of a sound wave is...Ch. 16 - Does the sound intensity level obey the...Ch. 16 - A small fraction of the energy in a sound wave is...Ch. 16 - A small metal band is slipped onto one of the...Ch. 16 - An organist in a cathedral plays a loud chord and...Ch. 16 - Prob. 16.15DQCh. 16 - Two vibrating tuning forks have identical...Ch. 16 - A large church has part of the organ in the front...Ch. 16 - A sound source and a listener are both at rest on...Ch. 16 - Can you think of circumstances in which a Doppler...Ch. 16 - Prob. 16.20DQCh. 16 - If you wait at a railroad crossing as a train...Ch. 16 - In case 1, a source of sound approaches a...Ch. 16 - Does an aircraft make a sonic boom only at the...Ch. 16 - If you are riding in a supersonic aircraft, what...Ch. 16 - Prob. 16.25DQCh. 16 - Example 16.1 (Section 16.1) showed that for sound...Ch. 16 - Prob. 16.2ECh. 16 - Consider a sound wave in air that has displacement...Ch. 16 - A loud factory machine produces sound having a...Ch. 16 - BIO Ultrasound and Infrasound. (a) Whale...Ch. 16 - (a) In a liquid with density 1300 kg/m3,...Ch. 16 - A submerged scuba diver hears the sound of a boat...Ch. 16 - Prob. 16.8ECh. 16 - An oscillator vibrating at 1250 Hz produces a...Ch. 16 - CALC (a) Show that the fractional change in the...Ch. 16 - A 60.0-m-long brass rod is struck at one end. A...Ch. 16 - Prob. 16.12ECh. 16 - BIO Energy Delivered to the Ear. Sound is detected...Ch. 16 - (a) By what factor must the sound intensity be...Ch. 16 - Eavesdropping! You are trying to overhear a juicy...Ch. 16 - BIO Human Hearing. A fan at a rock concert is 30 m...Ch. 16 - A sound wave in air at 20C has a frequency of 320...Ch. 16 - You live on a busy street, but as a music lover,...Ch. 16 - BIO For a person with normal hearing, the faintest...Ch. 16 - The intensity due to a number of independent sound...Ch. 16 - CP A babys mouth is 30 cm from her fathers ear and...Ch. 16 - The Sacramento City Council adopted a law to...Ch. 16 - CP At point A, 3.0 m from a small source of sound...Ch. 16 - (a) If two sounds differ by 5.00 dB, find the...Ch. 16 - Standing sound waves are produced in a pipe that...Ch. 16 - The fundamental frequency of a pipe that is open...Ch. 16 - Prob. 16.27ECh. 16 - BIO The Vocal Tract. Many opera singers (and some...Ch. 16 - The longest pipe found in most medium-size pipe...Ch. 16 - Singing in the Shower. A pipe closed at both ends...Ch. 16 - You blow across the open mouth of an empty test...Ch. 16 - Prob. 16.32ECh. 16 - A 75.0-cm-long wire of mass 5.625 g is tied at...Ch. 16 - Small speakers A and B are driven in phase at 725...Ch. 16 - Prob. 16.35ECh. 16 - Two loudspeakers, A and B (see Fig. E16.35), are...Ch. 16 - Two loudspeakers, A and B, are driven by the same...Ch. 16 - Two loudspeakers, A and B, are driven by the same...Ch. 16 - Two small stereo speakers are driven in step by...Ch. 16 - Two guitarists attempt to play the same note of...Ch. 16 - Prob. 16.41ECh. 16 - Adjusting Airplane Motors. The motors that drive...Ch. 16 - Two organ pipes, open at one end but closed at the...Ch. 16 - In Example 16.18 (Section 16.8), suppose the...Ch. 16 - On the planet Arrakis a male ornithoid is flying...Ch. 16 - A railroad train is traveling at 25.0 m/s in still...Ch. 16 - Two train whistles, A and B, each have a frequency...Ch. 16 - Moving Source vs. Moving Listener. (a) A sound...Ch. 16 - A swimming duck puddles the water with its feet...Ch. 16 - A railroad train is traveling at 30.0 m/s in still...Ch. 16 - A car alarm is emitting sound waves of frequency...Ch. 16 - While sitting in your car by the side of a country...Ch. 16 - Prob. 16.53ECh. 16 - The siren of a fire engine that is driving...Ch. 16 - A stationary police car emits a sound of frequency...Ch. 16 - How fast (as a percentage of light speed) would a...Ch. 16 - A jet plane flies overhead at Mach 1.70 and at a...Ch. 16 - The shock-wave cone created by a space shuttle at...Ch. 16 - A soprano and a bass are singing a duet. While the...Ch. 16 - CP The sound from a trumpet radiates uniformly in...Ch. 16 - Prob. 16.61PCh. 16 - CP A uniform 165-N bar is supported horizontally...Ch. 16 - An organ pipe has two successive harmonics with...Ch. 16 - Prob. 16.64PCh. 16 - Prob. 16.65PCh. 16 - A bat flies toward a wall, emitting a steady sound...Ch. 16 - The sound source of a ships sonar system operates...Ch. 16 - BIO Ultrasound in Medicine. A 2.00-MHZ sound wave...Ch. 16 - BIO Horseshoe bats (genus Rhinolophus) emit sounds...Ch. 16 - CP A police siren of frequency fsiren is attached...Ch. 16 - CP A turntable 1.50 m in diameter rotates at 75...Ch. 16 - DATA A long, closed cylindrical tank contains a...Ch. 16 - Prob. 16.73PCh. 16 - DATA Supernova! (a) Equation (16.30) can be...Ch. 16 - CALC Figure P16.75 shows the pressure fluctuation...Ch. 16 - CP Longitudinal Waves on a Spring. A long spring...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...Ch. 16 - BIO ULTRASOUND IMAGING. A typical ultrasound...
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