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CUET · PHYSICS · PYQ PAPER 2025

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

  1. A 288 days
  2. B 2.88 days
  3. C 100 days
  4. D 200 days
Verified Solution

Answer & Solution

Correct Answer

(A) 288 days

Step-by-step Solution

Detailed explanation

\( \tau = \frac{T_{1/2}}{\ln(2)} \) \( \tau = \frac{200}{0.693} \) \( \tau \approx 288.6 \) days