WAEC - Physics (1993 - No. 55)
A radioactive substance has a half-life of 20 hours. What fraction of the original radioactive nuclide will remain after 80 hours?
1/32
\(\frac{1}{16}\)
\(\frac{1}{8}\)
\(\frac{1}{4}\)
\(\frac{1}{2}\)
Explanation
Fraction remaining = (\(\frac{1}{2}\))\(^{\frac{t}{T_{\frac{1}{2}}}}\)
BUT \(\frac{t}{T_{\frac{1}{2}}}\) = \(\frac{80}{20}\) = 4
Fraction remaining = (\(\frac{1}{2})^4\) = \(\frac{1}{16}\)
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