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There are two radioactive substance `A` and `B`. Decay consant of `B` is two times that of `A`. Initially, both have equal number of nuceli. After n half-lives of `A`,rates of disintegaration of both are equal. The value of `n` is .A. `1`B. `2`C. `4`D. All of the above |
Answer» Correct Answer - a Let `lambda_(A) =lambda and lambda_(B) =2 lambda`. Initially, rate of disintergaration of `A` is `lambda N_(0)` and that of `B` is `2 almbda N_(0)`. After one half-life of `A`, rate of disntigration of `A` will come become `lambdaN_(0)//2` (half-life of `B =one` half the half -life of `A`. So, after one half-life of A or two half-lives of `B`, `((- dN)/(dt))=((-dN)/(dt))_(B)` `:. n=1`. |
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