QuestionAugust 18, 2025

After 2 half-lives, what fraction of a radioactive substance remains? 1/4 1/2 1/3 1/8

After 2 half-lives, what fraction of a radioactive substance remains? 1/4 1/2 1/3 1/8
After 2 half-lives, what fraction of a radioactive substance remains?
1/4
1/2
1/3
1/8

Solution
4.7(122 votes)

Answer

\frac{1}{4} Explanation 1. Understand Half-life Concept After one half-life, half of the substance remains. 2. Calculate Remaining Fraction After Two Half-lives After two half-lives, apply the concept again: **Remaining fraction = \left(\frac{1}{2}\right)^2**. 3. Simplify the Expression Simplify to get \frac{1}{4}.

Explanation

1. Understand Half-life Concept<br /> After one half-life, half of the substance remains. <br /><br />2. Calculate Remaining Fraction After Two Half-lives<br /> After two half-lives, apply the concept again: **Remaining fraction = $\left(\frac{1}{2}\right)^2$**.<br /><br />3. Simplify the Expression<br /> Simplify to get $\frac{1}{4}$.
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