Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 33, Problem 43AP
(a)
To determine
The intensity of light on the absorbing plate.
(b)
To determine
The maximum magnitude of the electric field.
(c)
To determine
The maximum magnitude of the magnetic field.
(d)
To determine
The time interval to bring the water to its boiling point.
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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
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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 33 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 33.1 - Prob. 33.1QQCh. 33.3 - What is the phase difference between the...Ch. 33.3 - Prob. 33.3QQCh. 33.5 - Prob. 33.4QQCh. 33.6 - Prob. 33.5QQCh. 33.7 - Prob. 33.6QQCh. 33.7 - Prob. 33.7QQCh. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3P
Ch. 33 - Prob. 4PCh. 33 - The distance to the North Star, Polaris, is...Ch. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10PCh. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - If the intensity of sunlight at the Earths surface...Ch. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Review. Model the electromagnetic wave in a...Ch. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - The intensity of sunlight at the Earths distance...Ch. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Extremely low-frequency (ELF) waves that can...Ch. 33 - A large, flat sheet carries a uniformly...Ch. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33APCh. 33 - Prob. 34APCh. 33 - Prob. 35APCh. 33 - Prob. 36APCh. 33 - Prob. 37APCh. 33 - One goal of the Russian space program is to...Ch. 33 - Prob. 39APCh. 33 - Prob. 40APCh. 33 - Prob. 41APCh. 33 - Prob. 42APCh. 33 - Prob. 43APCh. 33 - Prob. 44APCh. 33 - Review. (a) A homeowner has a solar water heater...Ch. 33 - Prob. 46APCh. 33 - Prob. 47APCh. 33 - Prob. 48APCh. 33 - Prob. 49APCh. 33 - Prob. 50CPCh. 33 - Prob. 51CP
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