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, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

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Radioactive decay

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Artificial Radioactivity

The radioactivity can be simply referred to as particle emission from nuclei due to the nuclear instability. There are different types of radiation such as alpha, beta and gamma radiation. Along with these there are different types of decay as well.

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Chapter 44, Problem 76AP

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The half-life of isotope X.

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Chapter 44, Problem 75AP

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Physics for Scientists and Engineers with Modern Physics, Technology Update

Ch. 44.1 - Prob. 44.1QQ Ch. 44.5 - Prob. 44.3QQ Ch. 44.5 - Which of the following is the correct daughter...Ch. 44 - Prob. 1OQ Ch. 44 - Prob. 2OQ Ch. 44 - Prob. 3OQ Ch. 44 - Prob. 4OQ Ch. 44 - Prob. 5OQ Ch. 44 - Prob. 6OQ Ch. 44 - Prob. 7OQ

Ch. 44 - Prob. 8OQ Ch. 44 - Prob. 9OQ Ch. 44 - Prob. 10OQ Ch. 44 - Prob. 11OQ Ch. 44 - Prob. 12OQ Ch. 44 - Prob. 13OQ Ch. 44 - Prob. 1CQ Ch. 44 - Prob. 2CQ Ch. 44 - Prob. 3CQ Ch. 44 - Prob. 4CQ Ch. 44 - Prob. 5CQ Ch. 44 - Prob. 6CQ Ch. 44 - Prob. 7CQ Ch. 44 - Prob. 8CQ Ch. 44 - Prob. 9CQ Ch. 44 - Prob. 10CQ Ch. 44 - Prob. 11CQ Ch. 44 - Prob. 12CQ Ch. 44 - Prob. 13CQ Ch. 44 - Prob. 14CQ Ch. 44 - Prob. 15CQ Ch. 44 - Prob. 16CQ Ch. 44 - Prob. 17CQ Ch. 44 - Prob. 1P Ch. 44 - Prob. 2P Ch. 44 - Prob. 3P Ch. 44 - Prob. 4P Ch. 44 - Prob. 5P Ch. 44 - Prob. 6P Ch. 44 - Prob. 7P Ch. 44 - Prob. 8P Ch. 44 - Prob. 9P Ch. 44 - Prob. 10P Ch. 44 - Prob. 11P Ch. 44 - Prob. 12P Ch. 44 - Prob. 13P Ch. 44 - Prob. 14P Ch. 44 - Prob. 15P Ch. 44 - Prob. 16P Ch. 44 - Prob. 17P Ch. 44 - Prob. 18P Ch. 44 - Prob. 19P Ch. 44 - Prob. 20P Ch. 44 - Prob. 21P Ch. 44 - Prob. 22P Ch. 44 - Prob. 23P Ch. 44 - Prob. 24P Ch. 44 - Prob. 25P Ch. 44 - Prob. 26P Ch. 44 - Prob. 27P Ch. 44 - Prob. 28P Ch. 44 - Prob. 29P Ch. 44 - Prob. 31P Ch. 44 - Prob. 32P Ch. 44 - Prob. 33P Ch. 44 - Prob. 34P Ch. 44 - Prob. 35P Ch. 44 - Prob. 36P Ch. 44 - Prob. 37P Ch. 44 - Prob. 38P Ch. 44 - Prob. 39P Ch. 44 - Prob. 40P Ch. 44 - Prob. 41P Ch. 44 - Prob. 42P Ch. 44 - Prob. 43P Ch. 44 - Prob. 44P Ch. 44 - Prob. 45P Ch. 44 - Prob. 46P Ch. 44 - Prob. 47P Ch. 44 - Prob. 48P Ch. 44 - Prob. 49P Ch. 44 - Prob. 50P Ch. 44 - Prob. 51P Ch. 44 - Prob. 52P Ch. 44 - Prob. 53P Ch. 44 - Prob. 54AP Ch. 44 - Prob. 55AP Ch. 44 - Prob. 56AP Ch. 44 - Prob. 57AP Ch. 44 - Prob. 58AP Ch. 44 - Prob. 59AP Ch. 44 - Prob. 60AP Ch. 44 - Prob. 61AP Ch. 44 - Prob. 62AP Ch. 44 - Prob. 63AP Ch. 44 - Prob. 64AP Ch. 44 - Prob. 65AP Ch. 44 - Prob. 66AP Ch. 44 - Prob. 67AP Ch. 44 - Prob. 68AP Ch. 44 - Prob. 69AP Ch. 44 - Prob. 70AP Ch. 44 - Prob. 71AP Ch. 44 - Prob. 72AP Ch. 44 - As part of his discovery of the neutron in 1932,...Ch. 44 - Prob. 74AP Ch. 44 - Prob. 75AP Ch. 44 - Prob. 76AP Ch. 44 - Prob. 77CP Ch. 44 - Prob. 78CP

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