COLLEGE PHY2053 W/MODIFIED ACCESS>BI<
16th Edition
ISBN: 9781323515303
Author: Knight
Publisher: PEARSON C
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Question
Chapter 16, Problem 60GP
a.
To determine
To find: The length of a tube that will oscillate in the
b.
To determine
To find: The frequency.
c.
To determine
To find: How many round trips will the pulse make in each second.
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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 16 Solutions
COLLEGE PHY2053 W/MODIFIED ACCESS>BI<
Ch. 16 - Light can pass easily through water and through...Ch. 16 - Prob. 2CQCh. 16 - Prob. 3CQCh. 16 - A guitarist finds that the pitch of one of her...Ch. 16 - Certain illnesses inflame your vocal cords,...Ch. 16 - Prob. 6CQCh. 16 - Figure Q16.7 shows a standing sound wave in a tube...Ch. 16 - A typical flute is about 66 cm long. A piccolo is...Ch. 16 - Some pipes on a pipe organ are open at both ends,...Ch. 16 - If you pour liquid in a tall, narrow glass, you...
Ch. 16 - When you speak after breathing helium, in which...Ch. 16 - Prob. 14CQCh. 16 - A synthesizer is a keyboard instrument that can be...Ch. 16 - A small boy and a grown woman both speak at...Ch. 16 - Prob. 18MCQCh. 16 - At x = 3 cm, what is the earliest time that y will...Ch. 16 - Prob. 20MCQCh. 16 - Prob. 21MCQCh. 16 - A student in her physics lab measures the...Ch. 16 - Prob. 23MCQCh. 16 - Resonances of the ear canal lead to increased...Ch. 16 - The frequency of the lowest standing-wave mode on...Ch. 16 - Suppose you pluck a string on a guitar and it...Ch. 16 - Figure P16.11 is a snapshot graph at t = 0 s of...Ch. 16 - Prob. 2PCh. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - At t = 0 s, a small upward (positive y) pulse...Ch. 16 - You are holding one end of an elastic cord that is...Ch. 16 - A 2.0-m-long string is fixed at both ends and...Ch. 16 - Figure P16.10 shows a standing wave oscillating at...Ch. 16 - A bass guitar string is 89 cm long with a...Ch. 16 - Prob. 12PCh. 16 - a. What are the three longest wavelengths for...Ch. 16 - Prob. 14PCh. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - The lowest note on a grand piano has a frequency...Ch. 16 - An experimenter finds that standing waves on a...Ch. 16 - Ocean waves of wavelength 26 m are moving directly...Ch. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - An organ pipe is made to play a low note at 27.5...Ch. 16 - The speed of sound in room temperature (20C) air...Ch. 16 - Parasaurolophus was a dinosaur whose...Ch. 16 - A drainage pipe running under a freeway is 30.0 m...Ch. 16 - Prob. 28PCh. 16 - Although the vocal tract is quite complicated, we...Ch. 16 - You know that you sound better when you sing in...Ch. 16 - A child has an ear canal that is 1.3 cm long. At...Ch. 16 - When a sound wave travels directly toward a hard...Ch. 16 - The first formant of your vocal system can be...Ch. 16 - When you voice the vowel sound in hat, you narrow...Ch. 16 - The first and second formants when you make an ee...Ch. 16 - Two loudspeakers emit sound waves along the...Ch. 16 - Two loudspeakers in a 20C room emit 686 Hz sound...Ch. 16 - In noisy factory environments, its possible to use...Ch. 16 - Two identical loudspeakers separated by distance d...Ch. 16 - Prob. 42PCh. 16 - Two identical loudspeakers 2.0 m apart are...Ch. 16 - Prob. 44PCh. 16 - Musicians can use beats to tune their instruments....Ch. 16 - A student waiting at a stoplight notices that her...Ch. 16 - Two strings are adjusted to vibrate at exactly 200...Ch. 16 - A flute player hears four beats per second when...Ch. 16 - Prob. 50GPCh. 16 - In addition to producing images, ultrasound can be...Ch. 16 - An 80-cm-long steel string with a linear density...Ch. 16 - Tendons are, essentially, elastic cords stretched...Ch. 16 - Spiders may tune strands of their webs to give...Ch. 16 - Prob. 56GPCh. 16 - Prob. 57GPCh. 16 - Prob. 58GPCh. 16 - Prob. 60GPCh. 16 - A 40-cm-long tube has a 40-cm-long insert that can...Ch. 16 - The width of a particular microwave oven is...Ch. 16 - Two loudspeakers located along the x-axis as shown...Ch. 16 - Two loudspeakers 42.0 m apart and facing each...Ch. 16 - Prob. 65GPCh. 16 - Two loudspeakers, 4.0 m apart and facing each...Ch. 16 - Piano tuners tune pianos by listening to the beats...Ch. 16 - A flutist assembles her flute in a room where the...Ch. 16 - Prob. 69GPCh. 16 - A Doppler blood flowmeter emits ultrasound at a...Ch. 16 - An ultrasound unit is being used to measure a...Ch. 16 - Prob. 72MSPPCh. 16 - Prob. 73MSPPCh. 16 - Prob. 74MSPPCh. 16 - Prob. 75MSPP
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