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Question: Answered & Verified by Expert
A Sample of radioactive material A, that has an activity of 10 m Ci 1 Ci=3.7×1010 decays s-1, has twice the number of nuclei as another sample of a different radioactive material B which has an activity of 20 m Ci. The correct choices for half-lives of A and B would then be, respectively:
PhysicsNuclear PhysicsJEE MainJEE Main 2019 (09 Jan Shift 1)
Options:
  • A 5 days and 10 days
  • B 10 days and 40 days
  • C 20 days and 10 days
  • D 20 days and 5 days
Solution:
2215 Upvotes Verified Answer
The correct answer is: 20 days and 5 days
Activity A=λN
10=λANA
20=λBNB
12=λAλB2
λAλB=14 TATB=41

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