1241_Physics ProblemsTechnical Physics

1241_Physics ProblemsTechnical Physics - 582 Nuclear...

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582 Nuclear Structure Section 44.6 Natural Radioactivity P44.40 (a) Let N be the number of 238 U nuclei and N be 206 Pb nuclei. Then NN e t = 0 λ and N 0 =+′ so NNN e t =+ af or e N N t 1. Taking logarithms, t N N F H G I K J ln 1 where = ln2 12 T . Thus, t T N N = F H G I K J + F H G I K J 2 1 ln ln . If N N = 1164 . for the 238 UP b 206 chain with T 9 447 10 . y r , the age is: t = × F H G I K J + F H G I K J 2 1 1 400 10 9 9 . ln ln . . yr yr . (b) From above, e N N t 1 . Solving for N N gives N N e e t t = 1 . With t 9 . yr and T 8 704 10 y r for the 235 207 b chain, t T t = F H G I K J = × × = ln ln . . . 2 2 4 00 10
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This note was uploaded on 12/15/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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