Nuclear Physics And Radioactivity Question 508
The average lifetime T and the decay constant $ \lambda $ of a radioactive nucleus are related as
Options:
A) $ T\lambda =1 $
B) $ T=\frac{0.693}{\lambda } $
C) $ \frac{T}{\lambda }=1 $
D) $ {\lambda_{1}},\ {\lambda_{2}},\ {\lambda_{3}} $
Show Answer
Answer:
Correct Answer: A
Solution:
Average lifespan $ T=\frac{\text{Sum of all lives of all the atoms}}{\text{Total number of atoms }}=\frac{1}{\lambda }$
$ \Rightarrow T\lambda = k $