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NEET2012PhysicsNuclear PhysicsActual

The half life of a radioactive nucleus is 50 days. The time interval (t₂-t₁ ) between the time t₂ when 2 3 of it has decayed and the time t₁ when 1 3 of it had decayed is

Options

  1. A30 days
  2. B50 days
  3. C60 days
  4. D15 days

Correct answer

B. 50 days

Step-by-step solution

Active fraction at instant t₂ , 1 2^ t₂ / T_ 1 / 2 = 1 3 Active fraction at instant t₁ , aligned 1 2^ t₁ / T_ 1 / 2 & = 2 3 2^ t₂ / T_ 1 / 2 2^ t₁ / T_ 1 / 2 & =2 t₂-t₁=T_ 1 / 2 & =50 days aligned

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