AIPMT MAINS2012Physics-Modern Physics
AIPMT MAINS 2012 Physics Radioactive Decay MCQ Question
Type: MCQ-numerical-Medium
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:
A
30 days
B
50 days
C
60 days
D
15 days
Correct Answer
Option B
Detailed Explanation
The decay follows the relation N = N₀(1/2)^(t/T). For 1/3 decayed, N = 2N₀/3, and for 2/3 decayed, N = N₀/3. Solving these gives t₂ - t₁ = 50 days.
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