COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Textbook Question
Chapter 32, Problem 41PE
Integrated Concepts:
(a) What temperature gas would have atoms moving fast enough to bring two 3He nuclei into contact? Note that, because both are moving, the average kinetic energy only needs to be half the electric potential energy of these doubly charged nuclei when just in contact with one another.
(b) Does this high temperature imply practical difficulties for doing this in controlled fusion?
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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 32 Solutions
COLLEGE PHYSICS
Ch. 32 - In terms of radiation dose, what is the major...Ch. 32 - One of the methods used to limit radiation dose to...Ch. 32 - Isotopes that emit (radiation are relatively safe...Ch. 32 - Why is radon more closely associated with inducing...Ch. 32 - The RBE for lowenergy s is 1.7, whereas that for...Ch. 32 - Which methods of radiation protection were used in...Ch. 32 - What radioisotope could be a problem in homes...Ch. 32 - Are some types of cancer more sensitive to...Ch. 32 - Suppose a person swallows some radioactive...Ch. 32 - Radiotherapy is more likely to be used to treat...
Ch. 32 - Does loud irradiation leave the food radioactive?...Ch. 32 - Compare a low dose of radiation to a human with a...Ch. 32 - Suppose one load irradiation plant uses a 137Cs...Ch. 32 - Why does the fusion of light nuclei into heavier...Ch. 32 - Energy input is required to fuse medium-mass...Ch. 32 - In considering potential fusion reactions, what is...Ch. 32 - Give reasons justifying the contention made in the...Ch. 32 - Explain why the fission of heavy nuclei releases...Ch. 32 - Explain, in terms of conservation of momentum and...Ch. 32 - The ruins of the Chernobyl reactor are enclosed in...Ch. 32 - Since the uranium or plutonium nucleus fissions...Ch. 32 - The cure of a nuclear reactor generates a large...Ch. 32 - How can a nuclear reactor contain many critical...Ch. 32 - Why can heavy nuclei with odd numbers of neutrons...Ch. 32 - Why is a conventional fission nuclear reactor not...Ch. 32 - What are some of the reasons that plutonium rather...Ch. 32 - Use the laws of conservation of momentum and...Ch. 32 - How does the lithium deuteride in the...Ch. 32 - Fallout from nuclear weapons tests in the...Ch. 32 - A neutron generator uses an (source, such as...Ch. 32 - Neutrons from a source (perhaps the one discussed...Ch. 32 - The purpose of producing 99Mo (usually by neutron...Ch. 32 - (a) Two annihilation rays in a PET scan originate...Ch. 32 - Table 32.1 indicates that 7.50 mCi of 99mTc is...Ch. 32 - The activities of 131I and 123I used in thyroid...Ch. 32 - (a) Neutron activation of sodium, which is 100%...Ch. 32 - What is the dose in mSv for: (a) a 0.1 Gy xray?...Ch. 32 - Find the radiation dose in Gy for: (a) A 10mSv...Ch. 32 - How many Gy of exposure is needed to give a...Ch. 32 - What is the dose in Sv in a cancer treatment that...Ch. 32 - One half the rays from 99mTc are absorbed by a...Ch. 32 - A plumber at a nuclear power plant receives a...Ch. 32 - In the 1980s, the term picowave was used to...Ch. 32 - Find the mass of 239Pu mat has an activity of 1.00...Ch. 32 - A beam of 168MeV nitrogen nuclei is used for...Ch. 32 - (a) If the average molecular mass of compounds in...Ch. 32 - Calculate the dose in Sv to the chest at a patient...Ch. 32 - (a) A cancer patient is exposed to rays from a...Ch. 32 - What is the mass of 60Co in a cancer therapy...Ch. 32 - Large amounts of 65Zn are produced in copper...Ch. 32 - Naturally occurring 40K is listed as responsible...Ch. 32 - (a) Background radiation due to 226Ra averages...Ch. 32 - The annual radiation dose from 14C in our bodies...Ch. 32 - If everyone in Australia received an extra 0.05...Ch. 32 - Verify that the total number at nucleons, total...Ch. 32 - Calculate the energy output in each of the fusion...Ch. 32 - Show that the total energy released in the...Ch. 32 - Verify by listing the number of nucleons, total...Ch. 32 - The energy produced by the fusion of a 1.00—kg...Ch. 32 - Tritium is naturally rare, but can be produced by...Ch. 32 - Two fusion reactions mentioned in the text are...Ch. 32 - (a) Calculate the number of grams of deuterium in...Ch. 32 - How many kilograms of water are needed to obtain...Ch. 32 - The power output of the Sun is 41026W. (a) If 90%...Ch. 32 - Another set of reactions that result in the fusing...Ch. 32 - (a) Find the total energy released in MeV in each...Ch. 32 - Verify that the total number of nucleons, total...Ch. 32 - Integrated Concepts The laser system tested for...Ch. 32 - Integrated Concepts Find the amount of energy...Ch. 32 - Integrated Concepts: (a) What temperature gas...Ch. 32 - Integrated Concepts (a) Estimate the years 1hat1he...Ch. 32 - (a) Calculate the energy released in the...Ch. 32 - (a) Calculate the energy released in the...Ch. 32 - (a) Calculate the energy released in the...Ch. 32 - Confirm that each at the reactions listed for...Ch. 32 - Breeding plutonium produces energy even before any...Ch. 32 - The naturally occurring radioactive isotope 232Th...Ch. 32 - The electrical power output of a large nuclear...Ch. 32 - A large power reactor that has been in operation...Ch. 32 - Find the mass converted into energy by a 12.0kT...Ch. 32 - What mass is converted into energy by a 1.00MT...Ch. 32 - Fusion bombs use neutrons from their fission...Ch. 32 - It is estimated that the total explosive yield of...Ch. 32 - A radiationenhanced nuclear weapon (or neutron...Ch. 32 - (a) How many 239Pu nuclei must fission to produce...Ch. 32 - Assume onefourth of the yield of a typical 320kT...Ch. 32 - This problem gives some idea of the magnitude of...Ch. 32 - It is estimated that weapons tests in the...Ch. 32 - A 1.00MT bomb exploded a few kilometers above the...Ch. 32 - Integrated Concepts One scheme to put nuclear...Ch. 32 - Prob. 1TPCh. 32 - Prob. 2TPCh. 32 - Prob. 3TPCh. 32 - Prob. 4TPCh. 32 - Prob. 5TPCh. 32 - Prob. 6TPCh. 32 - Prob. 7TPCh. 32 - Prob. 8TPCh. 32 - Prob. 9TPCh. 32 - Prob. 10TP
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