EBK FOUNDATIONS OF ASTRONOMY
14th Edition
ISBN: 9781337670968
Author: Backman
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 18, Problem 2P
Venus can be as bright as apparent magnitude −4.7 when at a distance of about 1 AU. How many times fainter would Venus look from a distance of 1 pc? What would its apparent magnitude be? Assume Venus has the same illumination phase from your new vantage point. (Hints: Recall the inverse square law, Section 9-2a; also, review the definition of apparent visual magnitudes, Chapter 2.) (Note: 1 pc = 2.1 × 105 AU.)
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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 18 Solutions
EBK FOUNDATIONS OF ASTRONOMY
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Ch. 18 - What planet in the Solar System is larger than the...Ch. 18 - Why is almost every solid surface in the Solar...Ch. 18 - What is the difference between condensation and...Ch. 18 - Why dont Terrestrial planets have ring systems...Ch. 18 - How does the solar nebula theory help you...Ch. 18 - Prob. 16RQCh. 18 - If rocks obtained from the Moon indicate an age of...Ch. 18 - Which is older, the Moon or the Sun? How do you...Ch. 18 - How does the solar nebula theory explain the...Ch. 18 - Did hydrogen gas condense from the nebula as the...Ch. 18 - What happens if a planet has differentiated? Would...Ch. 18 - Order the following steps in the formation of a...Ch. 18 - Which step(s) listed in the previous question can...Ch. 18 - Describe two processes that could melt the...Ch. 18 - What is the evidence that Jupiter and Saturn are...Ch. 18 - Describe two processes that cleared the solar...Ch. 18 - What is the difference between a planetesimal and...Ch. 18 - Does Uranus have enough mass to have formed by...Ch. 18 - What properties of the gas and dust disks observed...Ch. 18 - Why would the astronomically short lifetime of gas...Ch. 18 - Prob. 31RQCh. 18 - Describe three methods to find extrasolar planets.Ch. 18 - Why is the existence of hot Jupiters puzzling?...Ch. 18 - The evidence is overwhelming that the Grand Canyon...Ch. 18 - Prob. 35RQCh. 18 - If you observed the Solar System from the vantage...Ch. 18 - Venus can be as bright as apparent magnitude 4.7...Ch. 18 - What is the smallest-diameter crater you can...Ch. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - You analyze a sample of a meteorite that landed on...Ch. 18 - You analyze a sample of a meteorite that landed on...Ch. 18 - Prob. 8PCh. 18 - Examine Table 18-2. What might a planets...Ch. 18 - Examine Table 18-2. What might a planets...Ch. 18 - Suppose that Earth grew to its present size in 10...Ch. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 1SOPCh. 18 - Prob. 2SOPCh. 18 - What do you see in this image that indicates this...Ch. 18 - Why do astronomers conclude that the surface of...Ch. 18 - Prob. 3LTLCh. 18 - Prob. 4LTL
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