Nuclear Physics And Radioactivity Question 374
Question: The half-life of a radioactive substance is 48 hours. How much time will it take to disintegrate to its $ \frac{1}{16} $ th part [BCECE 2003]
Options:
A) 12 h
B) 16 h
C) 48 h
D) 192 h
Show Answer
Answer:
Correct Answer: D
Solution:
$ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{t/T}}\Rightarrow \frac{1}{16}={{( \frac{1}{2} )}^{t/48}} $
$ \Rightarrow {{( \frac{1}{2} )}^{4}}={{( \frac{1}{2} )}^{t/48}}\Rightarrow t=192\ hour. $
BETA
