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Q.

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, rates of disintegration of both are equal. The value of n is

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a

1

b

2

c

4

d

all of these

answer is A.

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Detailed Solution

let λA=λ,λB=2λ . Initially the rate of disintergration of A is λN0 and that of B is 2λN0. After one half life of A, rate of disintegration will become λN0/2 ( half life of B = one half the half life of A). n=1
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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, rates of disintegration of both are equal. The value of n is