Half Life Formula

Half-life is the time required for the amount of something to fall to half its initial value. The converse of half-life is doubling time. The mathematical representation of Half life is given below.
The formula for half life is,
\[t_{\frac{1}{2}}=\frac{ln2}{\lambda}=\frac{0.693}{\lambda}\]
Where,
$t_{\frac{1}{2}}$ is half life
$\lambda$ is the disintegration constant

Solved Examples

Question 1: Calculate the half life of a radioactive substance whose disintegration constant is 0.002 years-1 ?
Solution:
Given quantities are,
$\lambda$ = 0.002years-1
Half life equation is,
$t_{\frac{1}{2}}$ = $\frac{0.693}{\lambda }$
$t_{\frac{1}{2}}$ = $\frac{0.693}{0.002}$
= 346.5 years

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