Nuclear Physics And Radioactivity Question 398
Question: In a sample of radioactive material, what fraction of the initial number of active nuclei will remain undisintegrated after half of a half-life of the sample [Kerala PMT 2005]
Options:
A) $ \frac{1}{4} $
B) $ \frac{1}{2\sqrt{2}} $
C) $ \frac{1}{\sqrt{2}} $
D) $ 2\sqrt{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \therefore ,\frac{N}{N_{0}}={{( \frac{1}{2} )}^{t/{T_{1/2}}}}{{( \frac{1}{2} )}^{1/2}}=\frac{1}{\sqrt{2}} $ .