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


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