After three half lifes, the fraction of a radioactive material that has decayed is

PHYSICS
JAMB 1992

After three half lifes, the fraction of a radioactive material that has decayed is

  • A. \(\frac{1}{8}\)
  • B. \(\frac{1}{3}\)
  • C. \(\frac{2}{3}\)
  • D. \(\frac{7}{8}\)

Correct Answer: D. \(\frac{7}{8}\)

Explanation

I = \(\frac{1}{2}\) \(\Rightarrow\) \(\frac{1}{4}\) \(\Rightarrow\) \(\frac{1}{8}\)

Fraction decayed = 1 - \(\frac{1}{8}\)

= \(\frac{7}{8}\)



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