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Consider a radioactive nucleus A which d...

Consider a radioactive nucleus A which decays to a stable nucleus C through the following sequence
`A to B to C`
Here B is an intermediate nuclei which is also radioactive. Considering that there are `N_(0)` atoms of A initially , plot the praph showing the variation of number of atoms of A and B versus time.

Text Solution

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The given sequence of radioactive decay is
`AtoBtoC`
C is stable.
At t=0, `N_(A)=N_(0) and N_(B)=0`.
As time passes on, t increases. `N_(A)` falls of exponentially to zero at `t=oo`. The number of atoms of B goes on increasing with time, becomes maximum and finally decays to zero (at `t=oo`) following exponential decay law. The variation of the number of atoms of A and B versus time is shown in fig.
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