Atoms And Nuclei Question 358

Question: A radioactive material of half-life ln2 was produced in a nuclear reactor. Consider two different instants A and B. The number of undecayed nuclei at instant B was twice of that of instant A. If the activities at instants A and B are A1 and A2 respectively then the difference in the age of the sample at these instants equals.

Options:

A) |n(2A1A2)|

B) n2|n(A1A2)|

C) |n(A12A2)|

D) n2|n(A1A2)|

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Answer:

Correct Answer: C

Solution:

  • A1=(λN0)eλt1 …..(i) A2=(λ2N0)eλt2 ….(ii) t1t2=1λn(A22A1)=n(A22A1)


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