Exam 29: Nuclear Physics

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A summary of the nuclear reactions that power our sun is 4p → 4He + 2e-,with masses of 938.272 MeV/c2 for a proton,3727.38 MeV/c2 for the helium nucleus,and 0.511 MeV/c2 for each electron.How much energy is released by each of these reactions?

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In the nuclear reaction 38 19 K + 1 1 H → X + 2038{}^{38}_{20} Ca,what is X?

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Determine the missing product X in the following nuclear reaction: 16 8 O + neutron → X + alpha particle

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A sample containing 4.0 × 1018 atoms of a radioactive isotope decays with a half-life of 2.3 years.How many undecayed atoms are left after 3.7 years?

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A carbon-14 nucleus decays to a nitrogen-14 nucleus by beta-minus decay.How much energy (in MeV)is released if carbon-14 has a mass of 14.003242 u and nitrogen-14 has a mass of 14.003074 u? (1 u = 931.5 MeV/c2)

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Time (days) 0 2 6 11 19 30 Counts per Minute 1000 899 726 556 356 200 In a laboratory accident,a work area is contaminated with radioactive material.Health physicists monitor the area during a 30-day period and obtain the data shown in the table.The accident occurred at time t = 0 days.They determine that it will not be safe for workers to enter the area until the radioactivity level has dropped to 16 counts per minute.Of the choices listed,which one is the earliest time after the accident that workers could safely return?

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The decay constant of a radioactive nuclide is 3.1 x 10−310 ^{- 3} s−1\mathrm { s } ^ { - 1 } At a given instant,the activity of a specimen of the nuclide is 70 kBq.How much later has the activity declined to 10 kBq?

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The half-life of a radioactive material is 4.5 days.How many days are required for a sample,with an initial activity of 1.0 × 105 Bq,to decay to an activity of 100 Bq?

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The maximum permissible workday dose for occupational exposure to radiation is 11 mrem.A 77-kg laboratory technician absorbs 2.3 mJ of 0.5-MeV gamma rays in a work day.The relative biological effectiveness (RBE)for gamma rays is 1.00.What is the number of gamma-ray photons absorbed by the technician in a workday?

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Suppose that in a certain collection of nuclei there were initially 1024 billion nuclei,and 20.0 minutes later there was only 1.00 billion nuclei left,the others having decayed.On the basis of this information,how many nuclei would you estimate decayed in the first 6.00 minutes?

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How long would it take 4.00 × 1020 atoms to decay to 1.00 × 1019 atoms if their half-life was 14.7 years?

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Scandium 2143{}^{43}_{21} Sc decays by emitting a positron.What isotope is the product of this decay?

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

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A person receives an absorbed dose of protons of 20 millirads.The RBE of protons is 5.What is this person's equivalent dose in rem?

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Suppose that starting with 89227^{227}_{89} ,the following sequence of decays occurs: first an alpha decay,then a beta-minus decay,and finally another alpha decay.What isotope is left after each one of the decays?

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The equation shows a fission reaction: 235 92 U + 01{}^{1}_{0} n → 4199{}^{99}_{41} Nb + X + 4 1 0 n What is the missing term X in the equation?

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The decay constant of a radioactive isotope is 1.60 × 10-3 s-1.At a given instant,the number of atoms of the radioactive isotope is 1.85 × 1012.How many atoms of the isotope remain after a time interval of 30.0 minutes?

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An archaeologist finds the 14C in a sample of 2.10 g2.10 \mathrm {~g} of material to be decaying at 107 Bq.A modern 1.00−g1.00 - \mathrm { g } sample of the same material decays at 151 Bq,and assume this rate has also held in the past.The half-life of 14C is 5730 years.How old is the sample?

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The stability of 1736{}^{36}_{17} Cl with respect to alpha,beta-plus and beta-minus decay is to be determined.The following atomic masses are known: 24{}^{4}_{2} He: 4.002603 u 32 15 P: 31.973907 u 1636{}^{36}_{16} S: 35.967081 u 1736{}^{36}_{17} Cl: 35.968307 u 38 18 Ar: 35.967546 u The 1736{}^{36}_{17} Cl nucleus is

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What are the mass number A and the charge (in units of e)for each of the following particles or rays? (a)beta-plus (b)beta-minus (c)gamma ray

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