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(a) Repeat Exercise 31.57 but include the 0.0055$\%$ natural abundance of $^{234} \mathrm{U}$ with its $2.45 \times 10^{5}$ y half-life. (b) What is unreasonable about this result? (c) What assumption is responsible? (d) Where does the $^{234} \mathrm{U}$ come from if it is not primordial?

a) $\approx 10^{5527}$b) The ratio calculated is very large and leads to the conclusion that the mass 234 $\mathrm{U}$ is more than the known mass of the universe.c) The assumption that the 234 $\mathrm{U}$ is not created as a daughter nucleus and is existed primordially is responsible for unreasonable result.d) $_{92}^{238} \mathrm{U} \stackrel{\text { a-deasy }}{\rightarrow} \frac{234}{90} \mathrm{Th} \stackrel{\beta-\text { decay }}{\rightarrow} \frac{234}{91} \mathrm{Pa} \stackrel{\beta-\text { decay }}{\rightarrow} \frac{234}{92} \mathrm{U}$

Physics 103

Chapter 31

Radioactivity and Nuclear Physics

Nuclear Physics

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

Lectures

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Hello, friends. Here it is given and uranium port uranium to 34 is 0.55%. It's a half Life is given 2.3 and took 10 to the power seven years in the first part, they have toe find and not by any at t skull toe. Yeah, 4.5 and toe 10 toe the cover in nine years, the relation between initial number and final number off relative nuclear present in the given substance at Time T and it's called toe and not explanation off. Minus lambda in duty. So and not by end having the value here Lambda can be defined it white 693 upon. Yup. So the ratio and not by end we can write 0.693 Yeah, be upon. We have no substituting the web yet is given 4.5 into 10 to the power night. Half life is given 2.3 into 10 to the power seven. So on solving it, we're getting the ratio, Toby. Okay. To the power 55 to 7. This is the answer apart. A in the party, it is asked what is unreasonable dessert. The ratio is very high. See part the Egyptian that uranium 2. 34 each not created as a daughter, Nicholas, and it existed predominantly deep. The uranium 2. 34 it produced in that chain decay off uranium to 38. That's not

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