Nuclear Physics And Radioactivity Question 342
Question: Which is the correct expression for half-life [CBSE PMT 2000]
Options:
A) $ {{(t)}_{1/2}}=\log 2 $
B) $ {{(t)}_{1/2}}=\frac{\lambda }{\log 2} $
C) $ {{(t)}_{1/2}}=\frac{\lambda }{\log ,2}(2.303) $
D) $ {{(t)}_{1/2}}=\frac{2.303\text{ log 2}}{\lambda } $
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Answer:
Correct Answer: D
Solution:
$ {T_{1/2}}=\frac{{\log_{e}}2}{\lambda }=\frac{2.303{\log_{10}}2}{\lambda } $