Nuclear Physics And Radioactivity Question 365
Question: A radioactive material has an initial amount 16 gm. After 120 days it reduces to 1 gm, then the half-life of radioactive material is [CPMT 2003]
Options:
A) 60 days
B) 30 days
C) 40 days
D) 240 days
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}}\Rightarrow ( \frac{1}{16} )={{( \frac{1}{2} )}^{n}}\Rightarrow n=4 $ also $ n=\frac{t}{{T_{1/2}}}\Rightarrow {T_{1/2}}=\frac{120}{4}=30\ days $