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The ratio of the numbers of neutrons to protons in the nucleus of naturally occurring isotopes tends to vary with atomic number in what manner?


A) increases with greater atomic number
B) decreases with greater atomic number
C) is maximum for atomic number = 60
D) remains constant for entire range of atomic numbers

E) A) and D)
F) All of the above

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The isotope 14C cannot be used in dating old samples of which of the following?


A) charcoal from a fire
B) a bronze implement from a cave
C) a bone buried in mud
D) All of the above can be dated using 14C.

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

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An alpha particle (mass = 6.68 × 10−27 kg) is emitted from a radioactive nucleus with a kinetic energy of 4.55 MeV.How fast is the alpha particle moving in m/s? (1 MeV = 1.6 × 10−13 J)


A) 3.84E+3 m/s
B) 1.48E+7 m/s
C) 1.04E+7 m/s
D) 3.82E+7 m/s
E) ​5.11E+6 m/s

F) A) and B)
G) All of the above

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Two nuclei collide,one originally at rest,in an endothermic nuclear reaction with Q = −2.05 MeV.Which of the following describes the minimum kinetic energy needed in the reactant nuclei for the reaction is to occur?


A) equal to 2.05 MeV
B) greater than 2.05 MeV
C) less than 2.05 MeV
D) exactly half of 2.05 MeV

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

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B

Tritium has a half-life of 12.3 years.How many years will elapse when the radioactivity of a tritium sample diminishes to 35% of its original value?


A) 1.2E-1 years
B) 1.9E+1 years
C) 4.3E+0 years
D) 6.3E+1 years
E) ​8.1E+0 years

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

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There are samples of two different isotopes,X and Y.Both contain the same number of radioactive atoms.Sample X has a half-life twice that of Y.How do their decay rates compare?


A) X has a greater rate than Y.
B) X has a smaller rate than Y.
C) The rates of X and Y are equal.
D) The rate depends on atomic number,not half-life.

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

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If the sum total mass of reactants in a nuclear reaction is greater than that of product particles,then which of the following statements best describes the conditions of the reaction?


A) reaction is exothermic
B) reaction is endothermic
C) atomic number of each reactant must be greater than 40
D) atomic number of each reactant must be less than 80

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

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Tritium has a half-life of 12.3 years.What proportion of its original radioactivity will a sample have after 2 years?


A) 0.01
B) 0.89
C) 0.37
D) 0.16
E) ​0.25

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

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Chromium-55 (54.940 8 u) emits an electron leaving a daughter nucleus of manganese-55 (54.938 0 u) .How much energy is released in this reaction? (1 u = 931.5 MeV/c2)


A) 5.59 MeV
B) 2.61 MeV
C) 1.40 MeV
D) 0.70 MeV

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

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Neglecting recoil of the gold nucleus,how much kinetic energy must an alpha particle (charge = 2 × 1.6 × 10-19 C) have to approach to within 5.70 × 10−14 m of a gold nucleus (charge = 79 × 1.6 × 10−19 C) ? (ke = 8.99 × 109 N⋅m2/C2 and 1 MeV = 1.6 × 10−13 J)


A) 4.4E-10 MeV
B) 1.1E+1 MeV
C) 2.0E+0 MeV
D) 4.0E+0 MeV
E) ​5.0E-2 MeV

F) B) and D)
G) B) and E)

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An ancient building was known to have been built 3 000 years ago.Approximately what proportion of Carbon-14 atoms are yet in the building's wooden framing compared to the number which were present at the time of its construction? (half life of 14C = 5 730 years)


A) 0.425
B) 0.500
C) 0.517
D) 0.696

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

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When radium-224 emits an alpha particle,the remaining daughter nucleus is which of the following?


A) lead-213
B) actinium-215
C) radon-220
D) bismuth-215

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

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In the four radioactive series,the nuclei decay by either emitting alpha particles or beta particles until they reach the stable end product.Each decay,therefore,results in a mass number change of either 4 (for alpha decay) or 0 (for beta decay) .The radium isotope 226Ra is in one of these series.What is the starting isotope in the series containing 226Ra?


A) 238U
B) 235U
C) 232Th
D) 237Np

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

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1 Bq = ________ Ci?


A) 1
B) 106
C) 2.7 × 10-11
D) 3.7 × 1010

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

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C

What particle is emitted when 240Pu decays to 236U? (atomic numbers of Pu and U are,respectively,94 and 92)


A) alpha
B) beta (electron)
C) beta (positron)
D) gamma quantum

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

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The alpha radiation first classified by Rutherford was in fact which of the following?


A) helium nuclei
B) high energy quanta
C) electrons
D) positrons

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

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A radioactive isotope that emits a gamma quantum will change in what respect?


A) Atomic number increases by one.
B) Atomic number decreases by one.
C) Atomic mass number decreases by one.
D) None of the above choices are valid.

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

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The fact that the binding energy per nucleon does not depend very strongly on the volume of the nucleus indicates that


A) the strong nuclear force saturates.
B) nucleons don't move throughout the nucleus.
C) all nuclei have the same volume.
D) the radius of a nucleus is directly proportional to the number of nucleons.

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

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The original nucleus and the final nucleus will be different isotopes of the same element for which decay scheme of the original nucleus?


A) alpha decay followed by two beta (electron) decays
B) two gamma decays
C) a beta (electron) decay followed by an alpha decay
D) a beta (electron) decay followed by neutron emission

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

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The molecular mass for chlorine is not an integer multiple of the molecular mass of hydrogen but is about 35.5 times the molecular mass of hydrogen.This is primarily because


A) the proton and neutron have different masses.
B) there are different isotopes of chlorine.
C) of the binding energy of the chlorine nucleus.
D) the chlorine nucleus has 35.5 nucleons.

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

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B

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