Introduction To Health Physics
5th Edition
ISBN: 9780071835275
Author: Johnson, Thomas E. (thomas Edward), Cember, Herman.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 4, Problem 4.44P
What is the
(a) half-life?
(b) mean life (in minutes) of a radioisotope whose instantaneous decay rate is 10% per minute?
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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.
The counting rate from a radioactive source is 4000 counts per second at time t=0. After 10 seconds, the counting rate is 1000 counts per second.
a)What is the half-life?
b)What is the counting rate after 20 seconds?
In 1991, two hikers in the Alps, between Italy and Austria,
discovered the remains of a well-preserved mummy that dates back to the Ice Age.
The activity of C-14 in the remains of the Iceman was measured to be 0.1220 Bq per gram.
In a living organism the rate of radioactive decay of C-14 is 0.2310 Bq per gram.
Determine how long ago the Iceman lived.
The half-life of C-14 is 5730 years.
(in yr)
OA: 1732 OB: 2511 OC: 3641 OD: 5280 OE: 7655 OF: 11100 OG: 16095 OH: 23338
Chapter 4 Solutions
Introduction To Health Physics
Ch. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - If we start with 5 mg of 210Pb , what would be the...Ch. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - For use in carcinogenesis studies, benzo(a)pyrene...
Ch. 4 - Prob. 4.11PCh. 4 - Calculate the number of beta particles emitted per...Ch. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - How much 234U is there in 1 metric ton of the...Ch. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - The mean concentration of potassium in crustal...Ch. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - What is the (a) half-life? (b) mean life (in...Ch. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.53PCh. 4 - Prob. 4.54PCh. 4 - Prob. 4.55P
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- If a 1.50cmthick piece of lead can absorb 90.0% of the rays from a radioactive source, how many centimeters of lead are needed to absorb all but 0.100% of the rays?arrow_forwardWhat is the dose in mSv for: (a) a 0.1 Gy xray? (b) 2.5 mGy of neutron exposure to the eye? (c) 1.5 mGy of exposure?arrow_forwardWhat fraction of a radioactive sample has decayed after two half-lives have elapsed?arrow_forward
- Data from the appendices and the periodic table may be needed for these problems. A 60Co source is labeled 4.00 mCi, but its present activity is found to be 1.85107Bq. (a) What is the present activity in mCi? (b) How long ago did it actually have a 4.00—mCi activity?arrow_forwardData from the appendices and the periodic table may be needed for these problems. Show that the activity of the 14C in 1.00 g of 12C found in living tissue is 0.250 Bq.arrow_forwardDoes the number of radioactive nuclei in a sample decrease to exactly half its original value in one halflife? Explain in terms of the statistical nature of radioactive decay.arrow_forward
- (a) Calculate the energy released in the neutroninduced fission reaction n+239Pu96Sr+140Ba+4n, given m(96Sr)=95.921750u and m(140Ba)=139.910581u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forwardAssume onefourth of the yield of a typical 320kT strategic bomb comes from fission reactions averaging 200 MeV and the remainder from fusion reactions averaging 20 MeV. (a) Calculate the number of fissions and the approximate mass of uranium and plutonium fissioned, taking the average atomic mass to be 238. (b) Find the number of fusions and calculate the approximate mass of fusion fuel, assuming an average total atomic mass of the two nuclei in each reaction to be 5. (c) Considering the masses found, does it seem reasonable that some missiles could carry 10 warheads? Discuss, noting that the nuclear fuel is only a part of the mass of a warhead.arrow_forwardIn 1991, two hikers in the Alps, between Italy and Austria, discovered the remains of a well-preserved mummy that dates back to the Ice Age. The activity of C-14 in the remains of the Iceman was measured to be 0.1222 Bq per gram. In a living organism the rate of radioactive decay of C-14 is 0.2310 Bq per gram. Determine how long ago the Iceman lived. The half-life of C-14 is 5730 years. (in yr) OA: 2528 OB: 2857 oC: 3228 OD: 3648 E: 4122 OF: 4658 OG: 5264 OH: 5948arrow_forward
- As a health physicist, you are being consulted about a spill in a radiochemistry lab. The isotope spilled was 400 µCi of barium-131, which has a half-life of 12 days. (a) What mass of this radioisotope was spilled? (b) Your recommendation is to clear the lab until the radiation level has fallen 1 µCi. How long will the lab have to be closed?arrow_forwardTwo radioactive nuclei A and B are present in equal numbers to begin with. Three days later, there are three times as many A nuclei as there are B nuclei. The half-life of species B is 1.50 days. Calculate the half-life of species A.arrow_forwardA wooden object found in an indian burial groud and subjected to radiocarbon dating. The decay rate associated with C-14 is 10 disintegrations per minute per gram carbon. What is the age of the object?arrow_forward
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