A nuclear explosion has taken place leading to increase in concentration of in nearby areas. concent — Nuclear Chemistry and Radioactivity Chemistry Question

💡 Solution & Explanation

The calculated age is given by $T = \frac{1}{\lambda} \ln\left(\frac{C_{initial}}{C_{current}}\right)$. A higher assumed $C_{initial}$ (due to the explosion generating more $\text{C}^{14}$) makes the fraction larger, which increases the calculated age. Difference is $T_1 - T_2 = \frac{1}{\lambda} \ln(C_1) - \frac{1}{\lambda} \ln(C_2) = \frac{1}{\lambda} \ln\frac{C_1}{C_2}$. Therefore, correct answer is A.