Nuclear Physics And Radioactivity Question 335

Question: 3.8 days is the half-life period of a sample. After how many days, the sample will become 1/8th of the original substance [DCE 1999]

Options:

A) 11.4

B) 3.8

C) 3

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}}\Rightarrow \frac{1}{8}={{( \frac{1}{2} )}^{n}}\Rightarrow n=3 $ Now $ t=n\times {T_{1/2}}=3\times 3.8=11.4\ days $