If , the number of nuclei of 'A' after one half-life of 'A' is — Nuclear Chemistry and Radioactivity Chemistry Question

💡 Solution & Explanation

Substitute $\alpha = 2N_o\lambda$ into the generic equation: $N = \frac{1}{\lambda} [2N_o\lambda - (2N_o\lambda - \lambda N_o)e^{-\lambda t}] = 2N_o - N_oe^{-\lambda t}$. After one half-life, $e^{-\lambda t} = 0.5$. Thus, $N = 2N_o - 0.5N_o = 1.5N_o$. Therefore, correct answer is C.