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Question: Answered & Verified by Expert
Consider a radioactive nucleus which decays to a stable nucleus $\mathrm{C}$ through the following sequence
$$
\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{C}
$$
Here $\mathrm{B}$ is an intermediate nuclei which is also radioactive. Considering that there are $\mathrm{N}_0$ atoms of $\mathrm{A}$ initially, plot the graph showing the variation of number of atoms of A and $B$ versus time.
PhysicsNuclear Physics
Solution:
1976 Upvotes Verified Answer


At $t=0, N_A=N_0($ maximum $)$ while $N_B=0$. As time increases, $\mathrm{N}_{\mathrm{A}}$ decreases exponentially and the number of atoms of $\mathrm{B}$ increases. They becomes $\left(\mathrm{N}_{\mathrm{B}}\right)$ maximum and finally the drop to zero exponentially by radioactive decay law.

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