Explanation From the given information in the question, N X ( 0 ) N Y ( 0 ) = r 1 (I) Here, r 1 is the ratio of the number of nuclei of type X present that of type Y present initially. N X ( Δ t ) N Y ( Δ t ) = r 2 (II) Here, r 2 is the ratio of the number of nuclei of type X present that of type Y present after a time Δ t . T 1 / 2 Y = T Y . (III) Here, T 1 / 2 Y is the half-life of isotope Y . Write the expression for exponential decay of nuclei. N X ( Δ t ) = r 2 ( N Y ( Δ t ) ) Re-write the expression using equation (I) N X ( 0 ) e − λ X Δ t = r 2 N Y ( 0 ) e − λ Y Δ t = ( r 2 r 1 ) N X ( 0 ) e − λ Y Δ t e − Δ t λ X = r 2 r 1 e − Δ t λ Y Here, λ is the decay constant

Physics for Scientists and Engineers with Modern Physics

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Chapter 43, Problem 56AP

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The half-life of isotope X.

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Chapter 43, Problem 55AP

Chapter 43, Problem 58AP

Chapter 43 Solutions

Physics for Scientists and Engineers with Modern Physics

Ch. 43.1 - Prob. 43.1QQ Ch. 43.5 - Prob. 43.3QQ Ch. 43.5 - Which of the following is the correct daughter...Ch. 43.8 - When a nucleus undergoes fission, the two daughter...Ch. 43.8 - Prob. 43.6QQ Ch. 43.10 - Prob. 43.7QQ Ch. 43 - Prob. 1P Ch. 43 - Prob. 2P Ch. 43 - Prob. 3P Ch. 43 - Prob. 4P

Ch. 43 - Prob. 5P Ch. 43 - Prob. 7P Ch. 43 - Prob. 8P Ch. 43 - Prob. 9P Ch. 43 - Prob. 10P Ch. 43 - Prob. 11P Ch. 43 - Prob. 13P Ch. 43 - Prob. 15P Ch. 43 - Prob. 17P Ch. 43 - Prob. 18P Ch. 43 - Prob. 19P Ch. 43 - Prob. 20P Ch. 43 - Prob. 21P Ch. 43 - Prob. 22P Ch. 43 - Prob. 23P Ch. 43 - Prob. 24P Ch. 43 - Enter the correct nuclide symbol in each open tan...Ch. 43 - Prob. 26P Ch. 43 - Prob. 27P Ch. 43 - Prob. 28P Ch. 43 - Prob. 29P Ch. 43 - Prob. 30P Ch. 43 - Prob. 32P Ch. 43 - Prob. 33P Ch. 43 - Prob. 35P Ch. 43 - Prob. 37P Ch. 43 - Prob. 39P Ch. 43 - Prob. 41P Ch. 43 - Prob. 42P Ch. 43 - Prob. 44P Ch. 43 - Prob. 45AP Ch. 43 - Prob. 46AP Ch. 43 - Prob. 47AP Ch. 43 - Prob. 48AP Ch. 43 - Prob. 49AP Ch. 43 - Prob. 50AP Ch. 43 - Prob. 51AP Ch. 43 - Prob. 52AP Ch. 43 - As part of his discovery of the neutron in 1932,...Ch. 43 - Prob. 55AP Ch. 43 - Prob. 56AP Ch. 43 - Prob. 58AP Ch. 43 - Prob. 59AP Ch. 43 - Prob. 60AP Ch. 43 - Prob. 62AP Ch. 43 - Prob. 63AP Ch. 43 - Prob. 64AP Ch. 43 - Prob. 65AP Ch. 43 - Prob. 66CP

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Suppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0
(a) A cancer patient is exposed to rays from a 5000Ci 60Co transillumination unit for 32.0 s. The rays are collimated in such a manner that only 1.00% of them strike the patient. Of those, 20.0% are absorbed in a tumor having a mass of 1.50 kg. What is the dose in rem to the tumor, it the average energy per decay is 1.25 MeV? None of the s from the decay reach the patient. (b) Is the dose consistent with stated therapeutic doses?

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