Nuclear Physics And Radioactivity Question 359

Question: Certain radio-active substance reduces to 25% of its value in 16 days. Its half-life is [MP PMT 2001]

Options:

A) 32 days

B) 8 days

C) 64 days

D) 28 days

Show Answer

Answer:

Correct Answer: D

Solution:

$ N=N_{0}{{( \frac{1}{2} )}^{\frac{t}{T}}}\Rightarrow \frac{N_{0}}{4}=N_{0}{{( \frac{1}{2} )}^{\frac{16}{T}}} $
$ \Rightarrow T=8 $ days.