The plot of the number (N) of undecayed atoms | vedclass

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(B) The number of undecayed atoms at time $t$ is given by $N = N_0 e^{-\lambda t}$.The activity of the radioactive substance is given by $A = \lambda

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(B) The number of undecayed atoms at time $t$ is given by $N = N_0 e^{-\lambda t}$.The activity of the radioactive substance is given by $A = \lambda N$.From this relation, we can see that $N = \frac{A}{\lambda}$.Since $\lambda$ (decay constant) is a constant for a given radioactive substance, $N$ is directly proportional to $A$ $(N \propto A)$.Therefore, the plot of the number of undecayed atoms $(N)$ versus activity $(A)$ is a straight line passing through the origin.

The plot of the number $(N)$ of undecayed atoms versus activity $(A)$ of a radioactive substance is

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