University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 10, Problem 33P
A sample of radioactive material is obtained from a very old rock. A plot InA verses t yieldsa slope value of
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A sample of radioactive material is obtained from a very old rock. The activity of the rock over a period of time is monitored, and lnA is plotted as a function of t such as in Figure (b). The slope of the line has a value of -6.1 ×10^−8y^−1.
FInd the half-life in years.
An unknown radioactive element decays into non-radioactive substances. In 360 days the radioactivity of a
sample decreases by 34 percent.
(a) Find the decay constant k. (Round your answer to 5 decimal places.)
(b) What is the half-life of the element? (Round your answer to two decimal places)
half-life:
(days)
(c) How long will it take for a sample of 100 mg to decay to 59 mg? (Round your answer to two decimal places)
time needed:
(days)
Radioactive substances follow a specific law of decay.
Namely, if you have a sample of some radioactive isotope,
the quantity left after a certain time, called the half-life and
denoted T1/2, is one-half of what you had initially. If you wait
a second half-life, then there will be half f what was left at
the end of the first half-life. Since 1/2-1/2 = 1/4, you will
have one-fourth of the original quantity left after two half-lives.
You can continue with this procedure to find the fraction of the
original sample that hasn't decayed after any number of half-
lives. However, this would become quite cumbersome if you
are interested in the quantity left after, say, 10 half-lives. In
this case, the quantity you are looking for would be found by
multiplying the original quantity by 10 factors or 1/2.
To solve this problem, we use exponents. An exponent, a
small number written above and to the right, tells you how
many copies of a particular number are multiplied together. In
our example,…
Chapter 10 Solutions
University Physics Volume 3
Ch. 10 - Check Your Understanding Nucleus X is two times...Ch. 10 - Check Your Understanding If the binding energy per...Ch. 10 - Check Your Understanding A radioactive nuclide has...Ch. 10 - Check Your Understanding In radioactive beta...Ch. 10 - Check Your Understanding Which has a larger energy...Ch. 10 - Check Your Understanding Where does the energy...Ch. 10 - Check Your Understanding Radiation propagates in...Ch. 10 - Define and make clear distinctions between the...Ch. 10 - What are isotopes? Why do isotopes of the same...Ch. 10 - Explain why a bound system should have less mass...
Ch. 10 - Why is the number of neutrons greater than the...Ch. 10 - To obtain the most precise value of the binding...Ch. 10 - How is the initial activity rate of a radioactive...Ch. 10 - For the carbon dating described in this chapter,...Ch. 10 - What is the key difference and the key similarity...Ch. 10 - What is the difference between rays and...Ch. 10 - What characteristics of radioactivity show it to...Ch. 10 - Consider Figure 10.12. If the magnetic field is...Ch. 10 - Why is Earth’s core molten?Ch. 10 - Should an atomic bomb really be called nuclear...Ch. 10 - Why does a chain reaction occur dining a fission...Ch. 10 - In what way is ail atomic nucleus like a liquid...Ch. 10 - Explain the difference between nuclear fission and...Ch. 10 - Why does the fusion of light nuclei into heavier...Ch. 10 - IB. 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If this mass...Ch. 10 - Find the length of a side of a cube having a mass...Ch. 10 - The detail that you can observe using a probe is...Ch. 10 - How much energy would be released if six hydrogen...Ch. 10 - Find the mass defect and the binding energy for...Ch. 10 - 56 Fe is among the most tightly bound of all...Ch. 10 - is the heaviest stable nuclide, and its BEN is low...Ch. 10 - (a) Calculate BEN for 235U, the rarer of the two...Ch. 10 - The fact that BEN peaks at roughly A = 60 implies...Ch. 10 - A sample of radioactive material is obtained from...Ch. 10 - Show that: T=1.Ch. 10 - The half-life of strondum-91, 3891Sris 9.70 h....Ch. 10 - A sample of pure carbon-14 ( T1/2=5730y ) has an...Ch. 10 - A radioactive sample initially contains 2.40102...Ch. 10 - An old campfire is uncovered during an...Ch. 10 - Calculate the activity R , in curies of 1.00 g of...Ch. 10 - Natural uranium consists of 235U(percent abundance...Ch. 10 - World War II aircraft bad instruments with glowing...Ch. 10 - , The 210Po source used in a physics laboratory is...Ch. 10 - Armor-piercing shells with depleted uranium cores...Ch. 10 - undergoes alpha decay, (a) Write the reaction...Ch. 10 - (a) Calculate the energy released in the a decay...Ch. 10 - The particles emitted in the decay of 3H (tritium)...Ch. 10 - (a) Write the complete decay equation for 90Sr, a...Ch. 10 - Write a nuclear decay reaction that produces the...Ch. 10 - Write the complete decay equation in the complete...Ch. 10 - If a 1.50-cm-thick piece of lead can absorb 90.0%...Ch. 10 - An electron can interact with a nucleus through...Ch. 10 - (a) Write the complete reaction equation for...Ch. 10 - A rare decay mode has been observed in which...Ch. 10 - A large power reactor that has been in operation...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - The electrical power output of a large nuclear...Ch. 10 - Find the total energy released if 1.00 kg of...Ch. 10 - Verify that the total number of nucleons, and...Ch. 10 - Calculate the energy output in each of the fusion...Ch. 10 - Show that the total energy released in the proton-...Ch. 10 - Two fusion reactions mentioned in the text are...Ch. 10 - The power output of the Sun is 41026 W. (a) If 90%...Ch. 10 - Another set of reactions that fuses hydrogen into...Ch. 10 - (a) Calculate the energy released by the fusion of...Ch. 10 - What is the dose in mSv for: (a) a 0.1-Gy X-ray?...Ch. 10 - Find the radiation dose in Gy for: (a) A 10-mSv...Ch. 10 - Find the mass of 239Puthat has an activity of...Ch. 10 - In the 19805, the term picowave was used to...Ch. 10 - What is the dose in Sv in a cancer treatment that...Ch. 10 - One half the rays from 99mTcare absorbed by a...Ch. 10 - How many Gy of exposure is needed to give a...Ch. 10 - A plumber at a nuclear power plant receives a...Ch. 10 - Calculate the dose in rem/y for the lungs of a...Ch. 10 - The wiki-phony site states that the atomic mass of...Ch. 10 - A particle physicist discovers a neutral particle...Ch. 10 - A nuclear physicist finds 1.0of 236Uin a piece of...Ch. 10 - A group of scientists use carbon dating to date a...Ch. 10 - According to your lab partner, a 2.00-cm-thick...Ch. 10 - In the science section of the newspaper, an...Ch. 10 - The ceramic glaze on a red-orange “Fiestaware”...Ch. 10 - Large amounts of depleted uranium (238U)are...Ch. 10 - A piece of wood from an ancient Egyptian tomb is...Ch. 10 - This problem demonstrates that the binding energy...Ch. 10 - The Galileo space probe was launched on its long...Ch. 10 - Find the energy emitted in the decay of 60Co .Ch. 10 - Engineers are frequently called on to inspect and,...Ch. 10 - If two nuclei are to fuse in a nuclear reaction,...Ch. 10 - For the reaction, sw n+3He4He+ , find the amount...Ch. 10 - Engineers are frequently called on to inspect and,...
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