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overset(10^(21)"per sec")rarr A overset(...

`overset(10^(21)"per sec")rarr A overset(lambda = 1/30)rarrB`.
A shows radioactivity disintegration and it is continuosuly produced at the rate of `10^(21)` per sec. Find maximum number of nuclei of A.

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To solve the problem, we need to find the maximum number of nuclei of substance A, which is continuously produced and undergoes radioactive decay. Here’s a step-by-step solution: ### Step 1: Understand the Problem We know that substance A is produced at a rate of \(10^{21}\) nuclei per second and decays with a decay constant \(\lambda = \frac{1}{30} \, \text{s}^{-1}\). At maximum condition, the rate of production of A equals the rate of decay of A. ### Step 2: Set Up the Equation At maximum condition: \[ ...
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