Exam 30: Nuclear Physics

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A hypothetical particle has a mass of 510 MeV/c2. If such a particle at rest decays into two gamma-ray photons, what is the wavelength of each photon? (1 eV = 1.60 × 10-19 J, c = 3.00 × 108 m/s, h = 6.626 × 10-34 J∙ s)

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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?

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What is the mass number of alpha particles?

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The atomic number and mass number for calcium-39 are 20 and 39, respectively. How many neutrons are in one atom?

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If a nuclear fission reactor produces an average power of 1.0 GW over the course of a year, what mass of 235U is used up for a 365-day year if 200 MeV are released per fission reaction? (1 eV = 1.60 × 10-19 J, mneutron ≈ mproton = 1.67 × 10-27 kg)

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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?

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Modern in-air nuclear bomb tests have created an extra high level of 14C in our atmosphere. If future archaeologists date samples from this era, without knowing of this testing, will their carbon-14 dates be too young, too old, or correct? If correct, why?

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Starting with 92235^{235}_{92} U, assume that the following three decays occur in sequence: (1) alpha decay (2) beta-minus decay (3) alpha decay Determine the correct isotope that is left after each decay.

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

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The main reason that there is a limit to the size of a stable nucleus is

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What combination of quarks produces a proton and what are the electric charges on these quarks, expressed in terms of e?

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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?

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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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Consider the nuclear reaction 13H+13H→24He+21ˆ0n^{3}_{1} H + ^{3}_{1} H → ^{4}_{2} He + 2\^{1}_{0} n . The known atomic masses are 24He:4.002603u 13H:3.016049u 01n^{4}_{2} He: 4.002603 u\ ^{3}_{1} H: 3.016049u\ ^{1} _{0} n : 1.008665 u What is the energy released (positive) or absorbed (negative) in this nuclear reaction? (1 u = 931.5 MeV/c2)

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During β- decay

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How many quarks are in a tritium isotope, 13^{3}_{1} H?

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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?

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When 235U undergoes fission, the average energy per fission event is 200 MeV. How much energy is released in the total fission of 2.0g of 235^{235} U (1 eV = 1.60 × 10-19 J, mneutron ≈ mproton = 1.67 × 10-27 kg)

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The atomic number of an atom is equal to the number of what particles in the nucleus?

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Inside the nucleus, the strongest of the four fundamental forces is

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