Bundle: An Introduction to Physical Science, 14th Loose-leaf Version + WebAssign Printed Access Card, Single Term. Shipman/Wilson/Higgins/Torres
14th Edition
ISBN: 9781305719057
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 10, Problem 15SA
To determine
The charge of nucleus changes with beta decay.
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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 10 Solutions
Bundle: An Introduction to Physical Science, 14th Loose-leaf Version + WebAssign Printed Access Card, Single Term. Shipman/Wilson/Higgins/Torres
Ch. 10.1 - What original elements did Aristotle think...Ch. 10.1 - Prob. 2PQCh. 10.2 - Prob. 1PQCh. 10.2 - Prob. 2PQCh. 10.2 - Prob. 10.1CECh. 10.3 - Prob. 1PQCh. 10.3 - Prob. 2PQCh. 10.3 - Prob. 10.2CECh. 10.3 - Prob. 10.3CECh. 10.3 - Prob. 10.4CE
Ch. 10.3 - Prob. 10.5CECh. 10.3 - Prob. 10.6CECh. 10.4 - What quantities are conserved in nuclear...Ch. 10.4 - Prob. 2PQCh. 10.4 - Prob. 10.7CECh. 10.5 - Prob. 1PQCh. 10.5 - Prob. 2PQCh. 10.5 - Prob. 10.8CECh. 10.6 - Where does nuclear fusion occur naturally?Ch. 10.6 - Prob. 2PQCh. 10.6 - Prob. 10.9CECh. 10.7 - Prob. 1PQCh. 10.7 - Prob. 2PQCh. 10.8 - Prob. 1PQCh. 10.8 - Prob. 2PQCh. 10 - Prob. AMCh. 10 - Prob. BMCh. 10 - Prob. CMCh. 10 - Prob. DMCh. 10 - Prob. EMCh. 10 - Prob. FMCh. 10 - Prob. GMCh. 10 - Prob. HMCh. 10 - Prob. IMCh. 10 - Prob. JMCh. 10 - Prob. KMCh. 10 - Prob. LMCh. 10 - Prob. MMCh. 10 - Prob. NMCh. 10 - Prob. OMCh. 10 - Prob. PMCh. 10 - Prob. QMCh. 10 - Prob. RMCh. 10 - Prob. SMCh. 10 - Prob. TMCh. 10 - Prob. UMCh. 10 - Prob. VMCh. 10 - Prob. WMCh. 10 - Prob. XMCh. 10 - Prob. YMCh. 10 - Prob. ZMCh. 10 - Prob. 1MCCh. 10 - Prob. 2MCCh. 10 - Prob. 3MCCh. 10 - Prob. 4MCCh. 10 - Which radioactive decay mode does not result in a...Ch. 10 - Prob. 6MCCh. 10 - Prob. 7MCCh. 10 - Prob. 8MCCh. 10 - How many half-lives would it take for a sample of...Ch. 10 - Which of the following is not conserved in all...Ch. 10 - Prob. 11MCCh. 10 - Prob. 12MCCh. 10 - Prob. 13MCCh. 10 - Which unit is most closely associated with the...Ch. 10 - Prob. 15MCCh. 10 - Prob. 1FIBCh. 10 - Prob. 2FIBCh. 10 - The collective name for neutrons and protons in a...Ch. 10 - Prob. 4FIBCh. 10 - No stable nuclides exist that have Z greater than...Ch. 10 - Prob. 6FIBCh. 10 - The amount of a radioactive isotope will have...Ch. 10 - Prob. 8FIBCh. 10 - Prob. 9FIBCh. 10 - For an atomic bomb to explode, a(n) ____ mass is...Ch. 10 - In discussions of nuclear fusion reactions, the...Ch. 10 - Prob. 12FIBCh. 10 - Prob. 1SACh. 10 - Prob. 2SACh. 10 - Prob. 3SACh. 10 - Prob. 4SACh. 10 - Prob. 5SACh. 10 - What evidence is there to support the idea that...Ch. 10 - Prob. 7SACh. 10 - Prob. 8SACh. 10 - Prob. 9SACh. 10 - Prob. 10SACh. 10 - Prob. 11SACh. 10 - Prob. 12SACh. 10 - Prob. 13SACh. 10 - Prob. 14SACh. 10 - Prob. 15SACh. 10 - Prob. 16SACh. 10 - Prob. 17SACh. 10 - After three half-lives have gone by, what fraction...Ch. 10 - Prob. 19SACh. 10 - Prob. 20SACh. 10 - Prob. 21SACh. 10 - Prob. 22SACh. 10 - Prob. 23SACh. 10 - Prob. 24SACh. 10 - Prob. 25SACh. 10 - Prob. 26SACh. 10 - Prob. 27SACh. 10 - Prob. 28SACh. 10 - Prob. 29SACh. 10 - Prob. 30SACh. 10 - Prob. 31SACh. 10 - Prob. 32SACh. 10 - Prob. 33SACh. 10 - Prob. 34SACh. 10 - Prob. 35SACh. 10 - Prob. 36SACh. 10 - Prob. 37SACh. 10 - Prob. 38SACh. 10 - Prob. 39SACh. 10 - Prob. 40SACh. 10 - Prob. 41SACh. 10 - Prob. 42SACh. 10 - Visualize the connections and give the nuclear...Ch. 10 - Prob. 1AYKCh. 10 - The technique of carbon-14 dating relies on the...Ch. 10 - Prob. 3AYKCh. 10 - Prob. 4AYKCh. 10 - Prob. 5AYKCh. 10 - Fill in the nine gaps in this table.Ch. 10 - Fill in the nine gaps in this table.Ch. 10 - Prob. 3ECh. 10 - Prob. 4ECh. 10 - Prob. 5ECh. 10 - Prob. 6ECh. 10 - Prob. 7ECh. 10 - Actinium-225 (89225Ac) undergoes alpha decay. (a)...Ch. 10 - Prob. 9ECh. 10 - Prob. 10ECh. 10 - Prob. 11ECh. 10 - Prob. 12ECh. 10 - Prob. 13ECh. 10 - Prob. 14ECh. 10 - Prob. 15ECh. 10 - Prob. 16ECh. 10 - Prob. 17ECh. 10 - What is the half-life of thallium-206 if the...Ch. 10 - Use the graph in Fig. 10.24 to find the half-life...Ch. 10 - Prob. 20ECh. 10 - Prob. 21ECh. 10 - Prob. 22ECh. 10 - Prob. 23ECh. 10 - Prob. 24ECh. 10 - Prob. 25ECh. 10 - Prob. 26ECh. 10 - Prob. 27ECh. 10 - Prob. 28E
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