The half-life of a given radioactive nucleus is 200 days. The mean life of this nucleus is |
288 days 2.88 days 100 days 200 days |
288 days |
The correct answer is Option (1) → 288 days Given: Half-life: $T_{1/2} = 200\ \text{days}$ Mean life: $\tau = \frac{T_{1/2}}{\ln 2} \approx \frac{200}{0.693} \approx 288.5\ \text{days}$ ∴ Mean life of the nucleus ≈ 288.5 days |