13
practice examMultiple Choice

Practice Exam

Question 13 • Algebra II

Two different radioactive isotopes decay to 10 percent of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

Answer
A
33 days
B
3 days
C
13 days
D
10 days

Explanation

The time to reach 10% of the original amount is about 3.32 half-lives, since (1/2)^3.32 is approximately 0.10. So the half-life difference is (43 − 33) ÷ 3.32, or about 3 days. The correct choice is B, 3 days.

AI-written and checked against the verified answer.

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