Atoms And Nuclei Question 360
Question: Half-lives for $ \alpha $ and $ \beta $ emission of a radioactive material are 16 years and 48 years respectively. When material decays giving $ \alpha $ and $ \beta $ emission simultaneously, time in which 3/4th material decays is
Options:
A) 29 years
B) 24 years
C) 64 years
D) 12 years
Show Answer
Answer:
Correct Answer: B
Solution:
- Effective half life is calculated as $ \frac{1}{T}=\frac{1}{T_{1}}+\frac{1}{T_{2}} $ $ \frac{1}{T}=\frac{1}{16}+\frac{1}{48}\Rightarrow T=12 $ years Time in which $ \frac{3}{4} $ will decay is 2 half-lives = 24 years
