Nuclear Physics And Radioactivity Question 304
Question: The half-life (T) and the disintegration constant $ (\lambda ) $ of a radioactive substance are related as [MP PMT/PET 1998]
Options:
A) $ \lambda T=1 $
B) $ \lambda T=0.693 $
C) $ \frac{T}{\lambda }=0.693 $
D) $ \frac{\lambda }{T}=0.693 $
Show Answer
Answer:
Correct Answer: B
Solution:
By using $ N=N_{0}{{e}^{-\lambda t}} $
Þ $ \frac{N_{0}}{2}=N_{0}{{e}^{-\lambda ,{T_{1/2}}}} $
Þ $ 2={{e}^{\lambda ,{T_{1/2}}}} $ By taking loge both the side $ {\log_{e}}2=\lambda {T_{1/2}} $
Þ $ \lambda {T_{1/2}}=0.693 $
BETA
