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Checking a Decay Record With New Parents 4 questions

Checking a Decay Record With New Parents

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A classroom simulation starts each of two runs with 80 parent nuclei of the same isotope and no daughters. In each interval, half the parents present at the start of the interval decay. Every decay produces one stable daughter. The two intervals have equal duration.

RunParents at startParents just before second intervalParents at endTotal daughters at end
P80402060
Q80603070

Question 1

How many parents decay during the second interval of Q?

  1. 20
  2. 30
  3. 40
  4. 70

Question 2

Use the second intervals to explain whether the runs show the same fraction of parents decaying.

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In Q the simulation can add new parents between the intervals. It removes no nuclei and introduces no daughter nuclei.

Question 3

Use the Q record to calculate how many new parents entered between the intervals. Show one way to find the addition.

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Question 4

Evaluate a claim that the higher final parent count in Q means its isotope must have a longer half-life.

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