# Plot a graph showing the variation of undecayed nuclei N versus time t. From the graph, find out how one can determine the half-life and average life of the radioactive nuclei.

The graph showing the decay of radioactive nuclei:-

Hence, this graph shows the variation of undecayed nuclei N versus time t.

From the figure,

When

$N=\frac{N_{0}}{2}$

Then the time

$(t)=T_\frac{1}{2}$   (half-life)

and the average life,

$\tau =\frac{\tau_\frac{1}{2}}{0.693}$

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