Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 22.6, Problem 22.4QQ
(a) Suppose you select four cards at random from a standard deck of playing cards and end up with a macrostate of four deuces. How many microstates are associated with this macrostate? (b) Suppose you pick up two cards and end up with a macrostate of two aces. How many microstates are associated with this macrostate?
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ROTATIONAL DYNAMICS
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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 22 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 22.1 - The energy input to an engine is 4.00 times...Ch. 22.2 - The energy entering an electric heater by...Ch. 22.4 - Three engines operate between reservoirs separated...Ch. 22.6 - (a) Suppose you select four cards at random from a...Ch. 22.7 - An ideal gas is taken from an initial temperature...Ch. 22.7 - True or False: The entropy change in an adiabatic...Ch. 22 - Prob. 1OQCh. 22 - Prob. 2OQCh. 22 - Prob. 3OQCh. 22 - Of the following, which is not a statement of the...
Ch. 22 - Prob. 5OQCh. 22 - Prob. 6OQCh. 22 - Prob. 7OQCh. 22 - Prob. 8OQCh. 22 - Prob. 9OQCh. 22 - Prob. 10OQCh. 22 - The arrow OA in the PV diagram shown in Figure...Ch. 22 - The energy exhaust from a certain coal-fired...Ch. 22 - Discuss three different common examples of natural...Ch. 22 - Prob. 3CQCh. 22 - The first law of thermodynamics says you cant...Ch. 22 - Energy is the mistress of the Universe, and...Ch. 22 - (a) Give an example of an irreversible process...Ch. 22 - The device shown in Figure CQ22.7, called a...Ch. 22 - A steam-driven turbine is one major component of...Ch. 22 - Discuss the change in entropy of a gas that...Ch. 22 - Prob. 10CQCh. 22 - Prob. 11CQCh. 22 - (a) If you shake a jar full of jelly beans of...Ch. 22 - What are some factors that affect the efficiency...Ch. 22 - A particular heat engine has a mechanical power...Ch. 22 - The work done by an engine equals one-fourth the...Ch. 22 - A heat engine takes in 360 J of energy from a hot...Ch. 22 - A gun is a heat engine. In particular, it is an...Ch. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Suppose a heat engine is connected to two energy...Ch. 22 - Prob. 8PCh. 22 - During each cycle, a refrigerator ejects 625 kJ of...Ch. 22 - Prob. 10PCh. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - A freezer has a coefficient of performance of...Ch. 22 - Prob. 14PCh. 22 - One of the most efficient heat engines ever built...Ch. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - Prob. 18PCh. 22 - Prob. 19PCh. 22 - Prob. 20PCh. 22 - Prob. 21PCh. 22 - How much work does an ideal Carnot refrigerator...Ch. 22 - Prob. 23PCh. 22 - A power plant operates at a 32.0% efficiency...Ch. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - A heat engine operates in a Carnot cycle between...Ch. 22 - Suppose you build a two-engine device with the...Ch. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Prob. 33PCh. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - Prob. 39PCh. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - A Styrofoam cup holding 125 g of hot water at 100C...Ch. 22 - Prob. 44PCh. 22 - A 1 500-kg car is moving at 20.0 m/s. The driver...Ch. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - Prob. 48PCh. 22 - Prob. 49PCh. 22 - What change in entropy occurs when a 27.9-g ice...Ch. 22 - Calculate the change in entropy of 250 g of water...Ch. 22 - Prob. 52PCh. 22 - Prob. 53PCh. 22 - Prob. 54PCh. 22 - Prob. 55PCh. 22 - Prob. 56APCh. 22 - Prob. 57APCh. 22 - A steam engine is operated in a cold climate where...Ch. 22 - Prob. 59APCh. 22 - Prob. 60APCh. 22 - Prob. 61APCh. 22 - In 1993, the U.S. government instituted a...Ch. 22 - Prob. 63APCh. 22 - Prob. 64APCh. 22 - Prob. 65APCh. 22 - Prob. 66APCh. 22 - In 1816, Robert Stirling, a Scottish clergyman,...Ch. 22 - Prob. 68APCh. 22 - Prob. 69APCh. 22 - Prob. 70APCh. 22 - Prob. 71APCh. 22 - Prob. 72APCh. 22 - Prob. 73APCh. 22 - A system consisting of n moles of an ideal gas...Ch. 22 - A heat engine operates between two reservoirs at...Ch. 22 - Prob. 76APCh. 22 - Prob. 77APCh. 22 - Prob. 78APCh. 22 - A sample of an ideal gas expands isothermally,...Ch. 22 - Prob. 80APCh. 22 - Prob. 81CP
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