There are two radio nuclei A and B. A is an alpha emitter and B a beta emitter. Their disintegration constants are in ratio of 1 : 2. The ratio of number of atoms of A and B at any time t so that probabilities of getting alpha and beta particles are same at that instant is –
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(2)
Given here,
Probability of getting
and
are same.
Thus, rate of disintegration are equal.

Hence, the ratio of atoms is 
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