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A hospital patient has been given a sample of 131I ,which has a half-life of 8.04 days.This sample is decaying at 5.9 times the acceptable level for exposure to the general public.How long must the patient wait for the decay rate of the sample to reach the acceptable level?


A) 21 days
B) 14 days
C) 9.9 days
D) 8.9 days

E) B) and C)
F) None of the above

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Suppose the half-life of an isotope is 2 days.You purchase 10 grams of the isotope,but it was produced in a laboratory 4 days before it was delivered to you.How much of this isotope will you have 3 days after it was delivered to you?


A) more than 2.5 grams but less than 5 grams
B) 2.5 grams
C) more than 1.25 grams but less than 2.5 grams
D) 1.25 grams
E) less than 1.25 grams

F) C) and D)
G) A) and C)

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Two radioactive isotopes,X and Y,both decay to stable products.The half-life of X is about a day,while that of Y is about a week.Suppose a radioactive sample consists of a mixture of these two nuclides.If the mixture is such that the activities arising from X and Y are initially equal,then a few days later the activity of the sample will be due


A) predominantly to Y.
B) predominantly to X.
C) entirely to Y.
D) to X and Y equally.

E) A) and B)
F) A) and C)

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An oxygen-15 nucleus, 815{}^{15}_{8} O,decays to another atomic nucleus by emitting a β+ ray.What is the other atomic nucleus?


A) 715{}^{15}_{7} N
B) 168\begin{array} { c } 16 \\8\end{array} F
C) 615{}^{15}_{6} C
D) 814{}^{14}_{8} C
E) 717{}^{17}_{7} N

F) A) and E)
G) A) and C)

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Given that the half-life for radium-226 is 1600 y,how long is the "quarter-life" (that is,the time for the radiation to decay to one-fourth of its initial level)?

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Plutonium has a half life of 2.4 × 104 years.How long does it take for 99.0% of the plutonium to decay?


A) 1.6 × 102 y
B) 1.6 × 103 y
C) 1.6 × 104 y
D) 1.6 × 105 y
E) 1.6 × 106 y

F) B) and C)
G) B) and D)

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The atom 87223Fr^{223}_{87} Fr decays to 88223{}^{223}_{88} Ra by emitting what kind of nuclear radiation?


A) alpha
B) beta-minus
C) beta-plus
D) gamma
E) x-rays.

F) D) and E)
G) A) and E)

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A radioactive sample has a half-life of 10 min.What fraction of the sample is left after 40 min?


A) 1/2
B) 1/4
C) 1/8
D) 1/16

E) None of the above
F) B) and D)

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A 1.0-mol sample of an isotope is decaying with a half-life of 28 y.After 61 y,how many moles of this isotope are left and what is its activity in Bq?

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0.22 mol,1...

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Rutherfordium-261 has a half-life of 1.08 min.How long will it take for a sample of rutherfordium to lose one-third of its nuclei?


A) 1.02 min
B) 1.62 min
C) 0.632 min
D) 2.70 min
E) 3.24 min

F) C) and D)
G) A) and C)

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When a neutron collides with a uranium-235 nucleus it can induce a variety of fission reactions.One such reaction is 92235U^{235} _{92} U + 01{}^{1}_{0} n → 54140Xe^{140}_{54} Xe + 3894{}^{94}_{38} Sr + 2 01{}^{1}_{0} n The following mass values are known: 54140Xe^{140}_{54} Xe : 139.921620 u 3894{}^{94}_{38} Sr: 93.915367 u 92235U^{235} _{92} U : 235.043924 u 01{}^{1}_{0} n: 1.008665 u What mass of uranium is needed to produce a 10-kiloton yield? (1 u = 931.5 MeV/c2 = 1.66054 × 10-27 kg,1-kiloton yield = 5.0 × 1012 J)


A) 0.57 kg
B) 0.66 kg
C) 6.58 kg
D) 3.85 kg
E) 1.10 kg

F) D) and E)
G) C) and D)

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The atom 40K decays radioactively to the gas 40Ar.An ancient rock is found to contain enough 40Ar gas to indicate that 77.0% of the 40K in the rock has decayed to 40Ar since the rock solidified.(Any previous argon would have boiled out of liquid rock.) How long ago did the rock solidify? The half-life of 40K is 1.25 billion years.


A) 2.65 billion years
B) 0.471 billion years
C) 1.80 billion years
D) 0.324 billion years

E) B) and C)
F) C) and D)

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The symbol for a certain isotope of polonium is 84214Po^{214}_{84} Po .How many neutrons are there in the nucleus of this isotope?


A) 84
B) 130
C) 214
D) 298
E) 314

F) B) and C)
G) B) and D)

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The half-life of cobalt-60 is 5.3 years,while that of strontium-90 is about 29 years.Suppose you have samples of both isotopes,and that they initially have the same activity (number of decays per second) .What must be true of the numbers of cobalt-60 and strontium-90 nuclei in these samples?


A) There are more strontium-90 than cobalt-60 nuclei.
B) There are equal numbers of cobalt-60 and strontium-90 nuclei.
C) There are more cobalt-60 than strontium-90 nuclei.
D) It is not possible to compare numbers of nuclei without knowing the masses of the samples.

E) A) and C)
F) C) and D)

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When a neutron collides with a uranium-235 nucleus it can induce a variety of fission reactions.One such reaction is 92235U^{235} _{92} U + 01{}^{1}_{0} n → 54140Xe^{140}_{54} Xe + 3894{}^{94}_{38} Sr + 2 01{}^{1}_{0} n The following mass values are known: 54140Xe^{140}_{54} Xe : 139.921620 u 3894{}^{94}_{38} Sr: 93.915367 u 92235U^{235} _{92} U : 235.043924 u 01n{}\\^{1}_{0}n : 1.008665 u How much energy is released in this reaction? (1 u = 931.5 MeV/c2)


A) 185 MeV
B) 202 MeV
C) 32.6 MeV
D) 65.7 MeV
E) 98.6 MeV

F) A) and B)
G) B) and D)

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Polonium-216 decays to lead-212 by emitting what kind of nuclear radiation?


A) alpha
B) beta-minus
C) beta-plus
D) gamma
E) x-rays.

F) A) and B)
G) C) and E)

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A gamma ray is also known as


A) an electron.
B) a positron.
C) a helium nucleus.
D) a high-energy photon.

E) All of the above
F) B) and C)

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The half-life of cobalt-60 is 5.3 years,while that of strontium-90 is about 29 years.Suppose you have samples of both isotopes,and that they initially contain equal numbers of atoms of these isotopes.How will the activities (number of decays per second) of the samples compare?


A) The activity of the cobalt-60 sample will be greater.
B) The activities cannot be compared without more information.
C) The activities will be equal.
D) The activity of the strontium-90 sample will be greater.

E) None of the above
F) A) and C)

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When a β- particle is emitted from an unstable nucleus,the atomic mass number of the nucleus


A) increases by 1.
B) decreases by 1.
C) increases by 2.
D) decreases by 2.
E) does not change.

F) A) and E)
G) A) and C)

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The half-life of radon-222 is 3.83 d.If a sample of radon initially contains 6.00 × 108 radon atoms,how many of them are left after 10.0 d?


A) 9.82 × 107
B) 7.67 × 107
C) 8.34 × 108
D) 7.29 × 108
E) 8.56 × 108

F) A) and C)
G) A) and D)

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