Disintegration constant of a radioactive material is `lambda`:

Give the relation between half life and disintegration constant of a radioactive material.

The half-life (T) and the disintegration constant (lamda) of a radioactive substance are related as

The half-life (T) and the disintegration constant (lamda) of a radioactive substance are related as

The distance constant lamda of a radioactive material depends upon the temperature T according to the following relation in which a and b are constants for the material .

If the rate constant for the disintegration of a radioactive nucleus is lambda . Therefore the probability, P of survival of a radioactive nucleus for one mean life is