Atoms And Nuclei Question 357

Question: A radioactive sample contains 10 3 kg each of two nuclear species A and B with half-life 4 days and 8 days respectively The ratio of the amounts of A and B after a period of 16 days is

Options:

A) 1 : 2

B) 4 : 1

C) 1 : 4

D) 2 :1

Show Answer

Answer:

Correct Answer: C

Solution:

  • Ratio of number of half-life taken is given as: After 16 days $ {T_{AI/2}}=\frac{16}{4}=4; $ $ {T_{BI/2}}=\frac{16}{8}=2 $ $ N=N_{0}{{( \frac{1}{2} )}^{n}}\Rightarrow \frac{N_{A}}{N_{B}}=\frac{1}{2^{4}}:\frac{1}{2^{2}}=2^{2}:2^{4} $ $ =4:16,=1:4 $


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