Nuclear Physics And Radioactivity Question 345

Question: The activity of a radioactive sample is 1.6 curie and its half-life is 2.5 days. Its activity after 10 days will be [MP PMT 2000]

Options:

A) 0.8 curie

B) 0.4 curie

C) 0.1 curie

D) 0.16 curie

Show Answer

Answer:

Correct Answer: C

Solution:

Number of half lives $ n=\frac{10}{2.5}=4 $

Þ $ \frac{A}{A_{0}}=\frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}}\Rightarrow A=1.6\times {{( \frac{1}{2} )}^{4}}=0.1\ curie $