Average life (τ) = 1/λ, where λ is the decay constant. Fraction of nuclei remaining after time t is e⁻λt. After one average life (t=τ), the fraction remaining is e⁻¹. e⁻¹ ≈ 0.368, so approximately or 63.2%. More than half the nuclei decay in one average life.
In one average-life of radioactive decay
Asked in WBCS Main Paper 4 2021 · Topic: Nuclear Physics (Radioactivity: Alpha, Beta (Fermi theory, selection rules, parity violation), Gamma decay (multipole transitions, internal conversion).)
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