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How old is the specimen if the half-life is 300 years and there is 15 times more daughter product than parent material?
Age = no. of half lives x duration of each half life
ratio of Parent nuclei : Daughter Nuclei
1 : 15
total of 16 parts, and for every 16 parts one part is a parent nuclei
Mt = Mo x (0.5)^n
Mt = amount remaining
Mo = Initial amount
n = number of 1/2 lives
Mt = 1/16
(1/2)^n = 1/16
(1/2)^n = (1/2)^4
n=4
Age = 4 x duration of each half life
Age = 4 x 300
Age = 1200
Therefore, the age of the specimen is 1200 years.
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