Radioactive Decay and Half-Life: Quiz

7 questions

  1. Question 1EasyHow many neutrons are in a nucleus of carbon-14 (Z = 6)?
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    Answer: 8

    Neutrons = mass number − atomic number = 14 − 6 = 8.

  2. Question 2EasyRadium-226 (Z = 88) undergoes alpha decay. What is the product nucleus?
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    Answer: radon-222 (Z = 86)

    Alpha decay removes 4 from A and 2 from Z: 226 − 4 = 222 and 88 − 2 = 86, which is radon.

  3. Question 3MediumIn ²³⁴₉₀Th → ²³⁴₉₁Pa + X, what is X?
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    Answer: a beta particle (electron)

    A stays 234 and Z rises by 1, so X has A = 0 and Z = −1: an electron, ⁰₋₁e.

  4. Question 4EasyWhich radiation is stopped by a sheet of paper?
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    Answer: alpha

    Alpha particles are heavy and doubly charged, so they lose their energy quickly. Beta needs aluminium; gamma is only reduced by thick lead.

  5. Question 5MediumA sample of 160 mg has a half-life of 2.0 h. How much is left after 6.0 h?
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    Answer: 20 mg

    n = 6.0 h ÷ 2.0 h = 3.0 half-lives, so 160 mg × (½)³ = 20 mg.

  6. Question 6MediumThe activity of a sample falls from 1200 Bq to 300 Bq in 16 days. What is its half-life?
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    Answer: 8 days

    1200 Bq → 600 Bq → 300 Bq is 2 half-lives, so t½ = 16 days ÷ 2 = 8 days.

  7. Question 7HardFluorine-18 (Z = 9) emits a positron. What is the product?
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    Answer: oxygen-18 (Z = 8)

    Positron emission keeps A the same and lowers Z by 1: Z = 8 is oxygen, so ¹⁸₉F → ¹⁸₈O + ⁰₊₁e.