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A radioactive substance has a half-life of 20 hours. What fraction of the original radioactive...

Physics
WAEC 1993

A radioactive substance has a half-life of 20 hours. What fraction of the original radioactive nuclide will remain after 80 hours?

  • A. 1/32
  • B. \(\frac{1}{16}\)
  • C. \(\frac{1}{8}\)
  • D. \(\frac{1}{4}\)
  • E. \(\frac{1}{2}\)
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Correct Answer: Option B
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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