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 $