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 $
