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 $