Write the law of radioactive decay. Decay constant of a radioactive substance is $10^{- 3}$ per year. Calculate its half-life time in year.

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Solution

Law of radioactivity states that radioactivity is the phenomenon exhibited by the nuclei of an atom as a result of nuclear instability. It is a process by which the nucleus of an unstable atom loses energy by emitting radiation.
The half life time of radioactive decay is expressed as $τ = \frac{l n 2}{k}$
$= \frac{l n 2}{10^{- 3} / y e a r}$
$= 693.14 y e a r s$

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