Which is the correct expression for half-life. | PHYSICS - RADIOACTIVITY | SolveeIt | Solveeit

Today, August 19

Question

Which is the correct expression for half-life.

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

$(t)_{1/2} = \frac{2.303\text{ log 2}}{\lambda}$

Answer

$(t)_{1/2} = \frac{2.303\text{ log 2}}{\lambda}$

Explanation

Solution

$T_{1/2} = \frac{\log_{e}2}{\lambda} = \frac{2.303\log_{10}2}{\lambda}$