Question

The present activity of the hair of Egyptian mummy is 1.75 dpm. $t_{\frac{1}{7}}of{6}^{C^{14}}$ is 5770 year add disintegration rate of fresh sample of $C^{14}$ is 14 dpm. Find out age of mummy

• A. 23080 years
• B. 13848 years
• C. 11998 years
• D. 17313.6 years

Answer 1

The correct option is D

17313.6 years

$\frac{No}{N}=\frac{A_0}{A}=\frac{14}{1.75}=8t=\frac{1}{\lambda }In\frac{A_0}{A}\Rightarrow \frac{5770}{0693}In8t=17313.6years$