There are two radioactive substances A and B. Decay constant of B is two times that of A. Initially both have equal number of nuclei. After n half lives of A rate of disintegration of both are equal then the value of n is –
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(1)
Let 
If 
is total number of atoms in A and B at 
, then initial rate of disintegration of 
, and initial rate of disintegration of 
i.e., half-life of 
is half the half-life of 
.
After one half-life of A
Equivalently, after two half lives of 
From (i) and (ii), we get
After 
, i.e., one half-life of A, the rate of disintegration of both will be equal.
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