COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Textbook Question
Chapter 31, Problem 62PE
Data from the appendices and the periodic table may be needed for these problems.
The ceramic glaze on a red-orange Fiestaware plate is U2O3 and contains 50.0 grams of 238U, but very little 235U. (a) What is the activity of the plate? (b) Calculate the total energy that will be released by the 238U decay. (c) If energy is worth 12.0 cents per kW (h, what is the monetary value of the energy emitted? (These plates went out of production some 30 years ago, but are still available as collectibles.)
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ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
Question 04
in 20
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 31 Solutions
COLLEGE PHYSICS
Ch. 31 - Suppose the range for 5.0 MeVa ray is known to be...Ch. 31 - What is the difference between (rays and...Ch. 31 - Ionizing radiation interacts with matter by...Ch. 31 - What characteristics of radioactivity show it to...Ch. 31 - What is the source of the energy emitted in...Ch. 31 - Consider Figure 31.3. If an electric field is...Ch. 31 - Explain how an (particle can have a larger range...Ch. 31 - Arrange the following according to their ability...Ch. 31 - Often, when people have to work around radioactive...Ch. 31 - Is it possible for light emitted by a scintillator...
Ch. 31 - The weak and strong nuclear forces are basic to...Ch. 31 - Define and make clear distinctions between the...Ch. 31 - What are isotopes? Why do different isotopes of...Ch. 31 - Star Trek fans have often heard the term...Ch. 31 - What conservation law requires an electron’s...Ch. 31 - Neutrinos are experimentally determined to have an...Ch. 31 - What do the three types of beta decay have in...Ch. 31 - In a 3109 yearold rock that originally contained...Ch. 31 - Does the number of radioactive nuclei in a sample...Ch. 31 - Radioactivity depends on the nucleus and not the...Ch. 31 - Explain how a bound system can have less mass than...Ch. 31 - Spontaneous radioactive decay occurs only when the...Ch. 31 - To obtain the most precise value of BE from the...Ch. 31 - How does the finite range of the nuclear force...Ch. 31 - Why is the number of neutrons greater than the...Ch. 31 - A physics student caught breaking conservation...Ch. 31 - When a nucleus (decays, does the (particle move...Ch. 31 - The energy of 30.0 eV is required to ionize a...Ch. 31 - A particle of ionizing radiation creates 4000 ion...Ch. 31 - (a) Repeat Exercise 31.2, and convert the energy...Ch. 31 - Suppose a particle of ionizing radiation deposits...Ch. 31 - Verify that a 2.31017kg mass of water at normal...Ch. 31 - Find the length of a side of a cube having a mass...Ch. 31 - What is the radius of an (particle?Ch. 31 - Find the radius of a 238Pu nucleus. 238Pu is a...Ch. 31 - (a) Calculate the radius of 58Ni, one of the most...Ch. 31 - The unified atomic mass unit is defined to be...Ch. 31 - What is the ratio of the velocity of a (particle...Ch. 31 - If a 1.50cmthick piece of lead can absorb 90.0% of...Ch. 31 - The detail observable using a probe is limited by...Ch. 31 - (a) Show that if you assume the average nucleus is...Ch. 31 - What is the radio of the velocity of a 5.00MeV...Ch. 31 - (a) What is the kinetic energy in MeV of a ray...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - decay producing 137Ba. The parent nuclide is a...Ch. 31 - ( decay producing 90Y. The parent nuclide is a...Ch. 31 - decay producing 228Ra. The parent nuclide is...Ch. 31 - decay producing 208Pb. The parent nuclide is in...Ch. 31 - When an electron and position annihilate, both...Ch. 31 - Confirm That charge, electron family number, and...Ch. 31 - Confirm that charge, electron family number, and...Ch. 31 - Confirm that charge, electron family number, and...Ch. 31 - Confirm that charge, electron family number, and...Ch. 31 - A rare decay mode has been observed in which 222Ra...Ch. 31 - (a) Write the complete a decay equation for 226Ra....Ch. 31 - (a) Write the complete a decay equation for 249Cf....Ch. 31 - (a) Write the complete decay equation for the...Ch. 31 - (a) Write the complete decay equation for 90Sr,...Ch. 31 - Calculate the energy released in the + decay of...Ch. 31 - (a) Write the complete + decay equation for llC....Ch. 31 - (a) Calculate the energy released in the a decay...Ch. 31 - (a) Write the complete reaction equation for...Ch. 31 - (a) Write the complete reaction equation for...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - 2H is a loosely hound isotope of hydrogen. Called...Ch. 31 - 56Feis among the most tightly bound of all...Ch. 31 - 209Bi is the heaviest stable nuclide, and its BE/A...Ch. 31 - (a) Calculate BE/A for 235U, the rarer of the two...Ch. 31 - (a) Calculate BE/A for 12C. Stable and relatively...Ch. 31 - The fact that BE/A is greatest for A near 60...Ch. 31 - The purpose of this problem is to show in three...Ch. 31 - Unreasonable Results A particle physicist...Ch. 31 - Derive an approximate relationship between the...Ch. 31 - Integrated Concepts A 2.00T magnetic ?eld is...Ch. 31 - (a) Write the decay equation for the decay of...Ch. 31 - Unreasonable Results The relatively scarce...Ch. 31 - Unreasonable Results A physicist scatters (rays...Ch. 31 - Unreasonable Results A frazzled theoretical...Ch. 31 - Construct Your Own Problem Consider the decay of...Ch. 31 - Prob. 1TPCh. 31 - Prob. 2TPCh. 31 - Prob. 3TPCh. 31 - Prob. 4TPCh. 31 - Prob. 5TPCh. 31 - Prob. 6TPCh. 31 - Prob. 7TPCh. 31 - Prob. 8TPCh. 31 - Prob. 9TPCh. 31 - Prob. 10TPCh. 31 - Prob. 11TPCh. 31 - Prob. 12TP
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