Nuclear Physics And Radioactivity Question 386
Question: The half-life of a radioactive substance is 3.6 days. How much of 20 mg of this radioactive substance will remain after 36 days [Pb. PMT 2003]
Options:
A) 0.0019 mg
B) 1.019 mg
C) 1.109 mg
D) 0.019 mg
Show Answer
Answer:
Correct Answer: D
Solution:
$ M=M_{0}{{( \frac{1}{2} )}^{\frac{t}{{T_{1/2}}}}} $ $ =20\times {{( \frac{1}{2} )}^{\frac{3.6}{3.6}}} $ $ =20\times {{( \frac{1}{2} )}^{10}}=0.019,mg $