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}} $ .