Question detail

How can the half-life of a radioactive isotope be estimated from a large sample?

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. By measuring the total mass of the sample
  2. B. By observing the decay of a single nucleus
  3. C. By measuring the count rate over time
  4. D. By calculating the initial activity only

Answer

The correct answer is C: By measuring the count rate over time.

Explanation

The correct answer is C: By measuring the count rate over time. This supports the learning objective "Explain why the half-life of a radioactive isotope can be estimated from a large sample." in Half-lives and the random nature of radioactive decay because it uses the correct atomic and nuclear radiation relationship for Atoms and nuclear radiation. The other options are less suitable because they do not match the required Half-lives and the random nature of radioactive decay idea: By measuring the total mass of the sample; By observing the decay of a single nucleus; By calculating the initial activity only.

Common mistake

Misunderstanding Half-Life Estimation

Students often think that the half-life of a radioactive isotope can be determined from a single measurement of activity rather than from a large sample over time.

Emphasize that half-life estimation requires multiple measurements to observe the decay pattern, allowing for a more accurate average half-life calculation.

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