An archaeologist finds only one eighth of the cells found in living plants in a carved piece of wood. How old is the piece? (half-life period of C14 = 5200yrs) [olympiad ques]

Asked by sumandeesinghrana | 9th Oct, 2010, 09:59: AM

Expert Answer:

Dear Student,
 
This is an exponential decay problem:
 
 
Where,      
 
Given half life = 5200 yrs
Thus, decay constant λ = ln(2) / 5200 = 1.3 x 10-4  (year-1)
 
Nt = N0/8
 
Therefore, N0/8 = N0 e-λt 
              ln (1/8) = -λ t
             t =  ln (8) / λ = 1.599 x 104 years !
 
Hope that satisfies your query.
 
Team
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Answered by  | 9th Oct, 2010, 06:53: PM

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