Consider a radioactive nucleus A which decays to a stable nucleus C through the following sequence:
$$A \rightarrow B \rightarrow C$$
Here B is an intermediate nuclei which is also radioactive. Considering that there are $$N_{0}$$ atoms of A initially, plot the graph showing the variation of number of atoms of A and B versus time.

Question

Consider a radioactive nucleus A which decays to a stable nucleus C through the following sequence:
$$A \rightarrow B \rightarrow C$$
Here B is an intermediate nuclei which is also radioactive. Considering that there are $$N_{0}$$ atoms of A initially, plot the graph showing the variation of number of atoms of A and B versus time.

Toppr Admin · Accepted Answer

At -t - 0- N-A- - N-0-160-As time increases- -N-A- falls off exponentially-160-the number of atoms of B increases- becomes maximum and finally decays to-160-zero at -infty- -following exponential decay law-

At $$t = 0, N_{A} = N_{0}.$$ As time increases, $$N_{A}$$ falls off exponentially, the number of atoms of B increases, becomes maximum and finally decays to zero at $$\infty$$ (following exponential decay law).

At $$t = 0, N_{A} = N_{0}.$$

As time increases, $$N_{A}$$ falls off exponentially,

the number of atoms of B increases, becomes maximum and finally decays to

zero at $$\infty$$ (following exponential decay law).