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} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ n=\frac{72000}{24000}=3; $ Now $ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}}=\frac{1}{8} $