Atoms And Nuclei Question 391
Question: A radioactive element decays to $ \frac{1}{4} $ th of its initial value in time t. The ratio of its half-life to mean life is
Options:
A) $ \frac{\ln 2}{{{\lambda }^{2}}} $
B) $ \frac{\ln 2}{\lambda } $
C) $ 2\ln 2 $
D) $ \ln 2 $
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Answer:
Correct Answer: D
Solution:
- Half-life, $ {t_{1/2}}=\frac{In,2}{\lambda } $ Mean life, $ \tau =\frac{1}{\lambda },\therefore ,\frac{{t_{1/2}}}{\tau }=In2. $
