Question:medium

If 87.5% of atoms of a radioactive element decay in 6 days, then the fraction of atoms of the element that decay in 8 days is

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Memorize the common fractions for half-life decay: - 1 half-life: 1/2 remaining (50% decayed) - 2 half-lives: 1/4 remaining (75% decayed) - 3 half-lives: 1/8 remaining (87.5% decayed) - 4 half-lives: 1/16 remaining (93.75% decayed) Recognizing 87.5% as 7/8 decayed (or 1/8 remaining) instantly tells you that 3 half-lives have passed.

Updated On: Mar 30, 2026

\( \frac{1}{8} \)
\( \frac{7}{8} \)
\( \frac{1}{16} \)
\( \frac{15}{16} \)

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The Correct Option is D

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