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IB · E · multiple choice

Nuclear and quantum physics · Question 3

Nuclear and quantum physics · Original GioPhysics question with a detailed, mark-by-mark answer guide.

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Answer
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multiple choice1 mark

A sample contains 8.0 × 10²⁰ nuclei of a radioactive isotope with a half-life of 12 days. How many nuclei remain undecayed after 36 days?

  1. A

    1.0 × 10²⁰

  2. B

    2.0 × 10²⁰

  3. C

    2.7 × 10²⁰

  4. D

    4.0 × 10²⁰

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Answer overviewCorrect answer: A — 1.0 × 10²⁰
01

Answer and reasoning

1 mark
How to approach it

Predict from the governing principle before looking for a matching option. Then reject alternatives by checking direction, units, limiting behaviour or the physical meaning of each statement.

  1. 1

    The correct choice is A: 1.0 × 10²⁰

  2. 2

    36 days is three half-lives, so the number is halved three times: 8.0 → 4.0 → 2.0 → 1.0. C divides by three, which is the answer of a candidate treating decay as linear.

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