Nuclear Physics And Radioactivity Question 336
Question: Plutonium decays with a half-life of 24000 years. If the plutonium is stored for 72000 years, then the fraction of plutonium that remains is [CPMT 1999; MH CET 2003]
Options:
A) $ \frac{1}{2} $
B) $ \frac{1}{3} $
C) $ \frac{1}{4} $
D) $ \frac{1}{8} $
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Answer:
Correct Answer: D
Solution:
$ n=\frac{72000}{24000}=3; $ Now $ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}}=\frac{1}{8} $