Discussion
The half life period of an isotope is 2 hours. After 6 hours what fraction of the initial quantity of the isotope will be left behind?
Answer: C
One-eighth of the isotope remains.
\[\text{number of half-lives} = \frac{6\ \mathrm{h}}{2\ \mathrm{h}} = 3\]
\[\frac{N}{N_0} = \left(\frac{1}{2}\right)^{3} = \frac{1}{8}\]
The quantity halves at 2 h, quarters at 4 h and falls to an eighth at 6 h.
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