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 } $