Derivation of Formula for the Calculation of halflife and decay constant from law of radioactivity



Half life of a radionuclide  is the time taken for a given mass  to disintegrate by half of its original mass. It is the time in which a radioactive material decays to half of the number of atoms at time , t=o.
According to the  law of radioactivity, the rate of decay is proportional to the original number.

the decay constant is the proportionality between  the amount of radioactive   atoms and the rate at which it disintegrates.


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