Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
1st Edition
ISBN: 9781305259836
Author: Debora M. Katz
Publisher: Cengage Learning
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Chapter 17, Problem 54PQ
Using the concept of diffraction, discuss how the sound from a concert stage is affected if you sit behind a large pillar (greater than 1 m wide) near the middle of the concert hall. Is the answer different for treble (shorter-wavelength) or bass (longer-wavelength) sounds? Explain your answer.
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 17 Solutions
Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
Ch. 17.2 - As weve seen before, terms used in physics often...Ch. 17.2 - A graph of a pulses profile and a...Ch. 17.3 - Prob. 17.3CECh. 17.5 - Prob. 17.4CECh. 17.5 - The bulk modulus of water is 2.2 109 Pa (Table...Ch. 17.6 - Prob. 17.6CECh. 17 - A dog swims from one end of a pool to the opposite...Ch. 17 - Prob. 2PQCh. 17 - Prob. 3PQCh. 17 - Prob. 4PQ
Ch. 17 - Prob. 5PQCh. 17 - Prob. 6PQCh. 17 - Prob. 7PQCh. 17 - Prob. 8PQCh. 17 - A sinusoidal traveling wave is generated on a...Ch. 17 - Prob. 10PQCh. 17 - Prob. 11PQCh. 17 - The equation of a harmonic wave propagating along...Ch. 17 - Prob. 13PQCh. 17 - Prob. 14PQCh. 17 - Prob. 15PQCh. 17 - A harmonic transverse wave function is given by...Ch. 17 - Prob. 17PQCh. 17 - Prob. 18PQCh. 17 - Prob. 19PQCh. 17 - Prob. 20PQCh. 17 - Prob. 21PQCh. 17 - Prob. 22PQCh. 17 - A wave on a string with linear mass density 5.00 ...Ch. 17 - A traveling wave on a thin wire is given by the...Ch. 17 - Prob. 25PQCh. 17 - Prob. 26PQCh. 17 - Prob. 27PQCh. 17 - Prob. 28PQCh. 17 - Prob. 29PQCh. 17 - Prob. 30PQCh. 17 - Prob. 31PQCh. 17 - Problems 32 and 33 are paired. N Seismic waves...Ch. 17 - Prob. 33PQCh. 17 - Prob. 34PQCh. 17 - Prob. 35PQCh. 17 - Prob. 36PQCh. 17 - Prob. 37PQCh. 17 - Prob. 38PQCh. 17 - Prob. 39PQCh. 17 - Prob. 40PQCh. 17 - Prob. 41PQCh. 17 - Prob. 42PQCh. 17 - Prob. 43PQCh. 17 - Prob. 44PQCh. 17 - Prob. 45PQCh. 17 - What is the sound level of a sound wave with...Ch. 17 - Prob. 47PQCh. 17 - The speaker system at an open-air rock concert...Ch. 17 - Prob. 49PQCh. 17 - Prob. 50PQCh. 17 - Prob. 51PQCh. 17 - Prob. 52PQCh. 17 - Prob. 53PQCh. 17 - Using the concept of diffraction, discuss how the...Ch. 17 - Prob. 55PQCh. 17 - Prob. 56PQCh. 17 - An ambulance traveling eastbound at 140.0 km/h...Ch. 17 - Prob. 58PQCh. 17 - Prob. 59PQCh. 17 - Prob. 60PQCh. 17 - Prob. 61PQCh. 17 - In Problem 61, a. Sketch an image of the wave...Ch. 17 - Prob. 63PQCh. 17 - Prob. 64PQCh. 17 - Prob. 65PQCh. 17 - Prob. 66PQCh. 17 - Prob. 67PQCh. 17 - Prob. 68PQCh. 17 - Prob. 69PQCh. 17 - Prob. 70PQCh. 17 - A block of mass m = 5.00 kg is suspended from a...Ch. 17 - A The equation of a harmonic wave propagating...Ch. 17 - Prob. 73PQCh. 17 - Prob. 74PQCh. 17 - Prob. 75PQCh. 17 - Prob. 76PQCh. 17 - A siren emits a sound of frequency 1.44103 Hz when...Ch. 17 - Female Aedes aegypti mosquitoes emit a buzz at...Ch. 17 - A careless child accidentally drops a tuning fork...Ch. 17 - Prob. 80PQCh. 17 - A wire with a tapered cross-sectional area is...
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