Nuclear Physics And Radioactivity Question 387

Question: A radioactive material has a half-life of 10 days. What fraction of the material would remain after 30 days [AIIMS 2005]

Options:

A) 0.5

B) 0.25

C) 0.125

D) 0.33

Show Answer

Answer:

Correct Answer: C

Solution:

$ N=N_{0}{{( \frac{1}{2} )}^{\frac{t}{{T_{1/2}}}}} $
$ \Rightarrow \frac{N}{N_{0}}={{( \frac{1}{2} )}^{\frac{30}{10}}}=\frac{1}{8}=0.125 $ .