Question detail

If a radioactive substance has a half-life of 5 years, how much of a 100g sample remains after 15 years?

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Atoms and nuclear radiation

Question

  1. A. 100g
  2. B. 50g
  3. C. 25g
  4. D. 12.5g

Answer

12.5g

Explanation

After 15 years (which is three half-lives), the sample would reduce to 100g -> 50g -> 25g -> 12.5g.

Common mistake

Misunderstanding Half-Life Effects

Students often confuse the concept of half-life with the total decay time, thinking that a shorter half-life means the substance will completely decay faster than it actually does.

Emphasize that half-life is the time taken for half of the radioactive nuclei to decay, and that multiple half-lives are required for a substance to decay significantly.

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