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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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Students have asked these similar questions
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...
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