Question

The lowest level ${}^{14}C$ activity for experimental detection is 0.03 dis/min -g of ${}^{14}C$. The activity of ${}^{14}C$ in atmosphere is 15 dis/min-g of ${}^{14}C$. The maximum age of an object that can be determined by ${}^{14}C$ method is:
$(t_{1/2}of{}^{14}C=5730year)$

• A. 21387.20 year
• B. 51394.11 year
• C. 65386.18 year
• D. None of these

Answer 1

Answer: (B)

51394.11 year

$t=\frac{2.303\times t_{1/2}}{0.693}\times log\frac{N_0}{N}=\frac{2.303\times 5720}{0.693}\times log\frac{15}{0.03}=51394.11year$

Thus, the maximum age of an object that can be determined by the C-14 method is 51394.11 years.

Option B is correct.