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Counting What Remains After Two Decays 4 questions

Counting What Remains After Two Decays

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A classroom simulation contains two radioactive parents, P and Q. Each decay makes one nucleus of the same stable daughter type. There are no daughter nuclei initially. Over one model interval half the P parents decay, while one quarter of the Q parents decay.

Record after one intervalCount
P parents still present20
Q parents still present30
Stable daughters in all30

Question 1

Which number of P parents must have been present at the start?

  1. 20
  2. 30
  3. 40
  4. 50

Question 2

Calculate the starting number of Q parents and the number of daughters made by Q.

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Question 3

A student adds all 30 daughters to the 20 remaining P parents to infer the original P count. Evaluate the calculation using both parent records.

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A repeat display hides both parent counts and reports only the 30 pooled daughters. The starting amounts of the two parents are not given.

Question 4

Give two possible pairs of P and Q decay counts consistent with the 30 pooled daughters. Explain why the reading cannot distinguish the pairs.

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