Nuclear Physics And Radioactivity Question 388
Question: Starting with a sample of pure $ ^{66}Cu,,\frac{7}{8} $ of it decays into Zn in 15 min. The corresponding half-life is [AIEEE 2005]
Options:
A) 5 min
B) $ 7\frac{1}{2} $ min
C) 10 min
D) 15 min
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{7}{8} $ part decays i.e. remaining part is $ \frac{1}{8} $ $ N=N_{0}{{( \frac{1}{2} )}^{\frac{t}{{T_{1/2}}}}} $
$ \Rightarrow \frac{1}{8}={{( \frac{1}{2} )}^{\frac{15}{{T_{1/2}}}}}\Rightarrow {T_{1/2}} $ =5 min.
BETA
