The half-life of a given radioactive nucleus is 200 days. The mean life of this nucleus is
Answer & explanation
Correct answer: option 1
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