Atoms And Nuclei Question 399

Question: A radioactive isotope has a half-life of 200 years. How long will it take the activity to reduce to 1% of its original value?

Options:

A) 330 years

B) 460 years

C) 660 years

D) 920 years

Show Answer

Answer:

Correct Answer: C

Solution:

  • N=N0(12)n so, for 1% decay 1100N0=N0(12)n1100=(12)n
    n=2log2tT=2log2t=6.6T =6.6×100=660 years If α and B are emitted simultaneously.


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