Ncert Exercises & Solutions

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 nucleus which is also radioactive. Considering that there are N₀ atoms of A initially, plot the graph showing the variation of the number of atoms of A and B versus time.

Hint: The rate of decay depends on the active atoms.

Step 1: Draw the graph for A and B according to the decay rate.

Consider the situation shown in the graph.

At t = 0, N_A = N₀ (maximum) while N_B = 0. As time increases, N_A decreases exponentially and the number of atoms of B increases. They becomes (N_B) maximum and finally drop to zero exponentially by radioactive decay law.

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