If is the initial number of nuclei, number of nuclei remaining undecayed at the end of half-life is — Nuclear Chemistry and Radioactivity Chemistry Question

💡 Solution & Explanation

After each half-life, the number of undecayed nuclei halves. After $n$ half-lives, the remaining nuclei $N = N_o \cdot (1/2)^n = 2^{-n} \cdot N_o$. Therefore, correct answer is B.