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| | '''Half-life''' is the time it takes for half of the original sample of a [[radioactive]] [[isotope]] to decay.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> Different isotopes have different half-lives, some being very short and difficult for scientists to study.<ref>Avison J. ''The World of Physics''; Thomas Nelson and Sons; Cheltenham. p. 395, (1984) [http://books.google.com/books?id=DojwZzKAvN8C&lpg=PA395&dq=%22short%20half-life%22&pg=PA395#v=onepage&q=%22short%20half-life%22&f=false]</ref> If the [[exponential decay]] of a [[radioisotope]] is expressed as <math>A = A_0 e^{-(t-t_0)/\tau}</math>, then the half-life is equal to <math>\tau</math> ln 2. Knowing these decay rates is important for dating, such as with [[carbon|carbon-14]]. | | '''Half-life''' is the time it takes for half of the original sample of a [[radioactive]] [[isotope]] to decay.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> Different isotopes have different half-lives, some being very short and difficult for scientists to study.<ref>Avison J. ''The World of Physics''; Thomas Nelson and Sons; Cheltenham. p. 395, (1984) [http://books.google.com/books?id=DojwZzKAvN8C&lpg=PA395&dq=%22short%20half-life%22&pg=PA395#v=onepage&q=%22short%20half-life%22&f=false]</ref> If the [[exponential decay]] of a [[radioisotope]] is expressed as <math>A = A_0 e^{-(t-t_0)/\tau}</math>, then the half-life is equal to <math>\tau</math> ln 2. Knowing these decay rates is important for dating, such as with [[carbon|carbon-14]]. |
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