The fraction of a radioactive isotope remaining at time t is (1/2)t/t1/2 where t1/2 is the half-life. If the half-life of carbon−14 is 5,730 yr, what fraction of carbon−14 in a piece of charcoal remains after   (a) 13.0 yr? (b) 1.200 × 104 yr?   (c) 1.2000 × 105 yr?

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The fraction of a radioactive isotope remaining at time t is (1/2)t/t1/2 where t1/2 is the half-life. If the half-life of carbon−14 is 5,730 yr, what fraction of carbon−14 in a piece of charcoal remains after
 
(a) 13.0 yr?
(b) 1.200 × 104 yr?
  (c) 1.2000 × 105 yr?
 

 

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