Atoms And Nuclei Question 370
Question: If a radioactive material contains 0.1 mg of $ Th^{234} $ how much of it will remain unchanged after 120 days. Given Half-life is 24 days
Options:
A) $ 1.12\mu g $
B) $ 0.1\mu g $
C) $ 3.125\mu g $
D) $ 125\mu g. $
Show Answer
Answer:
Correct Answer: C
Solution:
- Using $ \frac{M}{M_{0}}={{( \frac{1}{2} )}^{t/T}}={{( \frac{1}{2} )}^{120/24}}={{( \frac{1}{2} )}^{5}}=\frac{1}{32} $ So $ M=\frac{M_{0}}{32}=\frac{0.1mg}{32}=3.125,\mu g. $
