Target Exam

CUET

Subject

Physics

Chapter

Nuclei

Question:

The half-life of a given radioactive nucleus is 200 days. The mean life of this nucleus is

Options:

288 days

2.88 days

100 days

200 days

Correct Answer:

288 days

Explanation:

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