begin mathsize 36px style t subscript bevelled 1 half end subscript space. space log open parentheses W subscript i n i end subscript over W subscript F i n end subscript close parentheses space equals space T space. space log left parenthesis 2 right parenthesis space end style

t1/2 = Half-life of the isotope; T = Time taken for the specific decay ; Wini = Initial amount of the radioactive isotope; Wfin = Final amount of the radioactive isotope

T

t1/2

WIni

WFin

 
The time taken for a radioactive element to decay depends on its initial and final mass and the half-life of that radioactive element. Half -life is a characteristic of each radioactive isotope and it ranges from a few fractions of a second to several million or billion years. 

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