Nuclear Physics And Radioactivity Question 344

Question: What fraction of a radioactive material will get disintegrated in a period of two half-lives [MP PET 2000]

Options:

A) Whole

B) Half

C) One-fourth

D) Three-fourth

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}},\ n=2\Rightarrow \frac{N}{N_{0}}={{( \frac{1}{2} )}^{2}}=\frac{1}{4} $ So disintegrated part $ =1-\frac{N}{N_{0}}=1-\frac{1}{4}=\frac{3}{4} $