Chapter 31: Q2CQ (page 1147)
What is the difference betweenγrays and characteristic x rays? Is either necessarily more energetic than the other? Which can be the most energetic?
Short Answer
γ rays are more energetic than x-rays
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Chapter 31: Q2CQ (page 1147)
What is the difference betweenγrays and characteristic x rays? Is either necessarily more energetic than the other? Which can be the most energetic?
γ rays are more energetic than x-rays
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Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to incandescence for long periods of time. Natural thorium is almost \(100\% \)\({}^{232}Th\) , with a half-life of \(1.405 \times {10^{10}}\,{\rm{y}}\). If an average lantern mantle contains \(300\,{\rm{mg}}\) of thorium, what is its activity?
αdecay producing 208Pb. The parent nuclide is in the decay series produced by 232Th, the only naturally occurring isotope of thorium.
(a) Calculate the energy released in the\({\rm{\alpha }}\)decay of\({}^{{\rm{238}}}{\rm{U}}\). (b) What fraction of the mass of a single\({}^{{\rm{238}}}{\rm{U}}\)is destroyed in the decay? The mass of\({}^{{\rm{234}}}{\rm{Th}}\)is\(234.043593\,{\rm{u}}\). (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?
(a) Calculate the radius of\(^{{\rm{58}}}{\rm{Ni}}\), one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of\(^{{\rm{58}}}{\rm{Ni}}\)to that of\(^{{\rm{258}}}{\rm{Ha}}\), one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than the size of an atom.
If a \(1.50\,{\rm{cm}}\)-thick piece of lead can absorb \({\rm{90}}{\rm{.0 \% }}\) of the \({\rm{\gamma }}\) rays from a radioactive source, how many centimeters of lead are needed to absorb all but \({\rm{0}}{\rm{.100 \% }}\) of the \({\rm{\gamma }}\) rays?
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