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Checking Counts When Decay Events Overlap 4 questions

Checking Counts When Decay Events Overlap

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A classroom nuclear simulation records one event for each parent nucleus that decays. Its display can show at most one count in each one-second window. The timeline shows the events that actually occur in two trials.

Timeline divided into four one-second windows. Trial P has two events in window 1, none in window 2, two in window 3, and none in window 4. Trial Q has one event in each window.
Each mark on the timeline represents one actual decay event in the model.
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Question 1

Which trial has the greater number of actual decays over all four windows?

  1. P only
  2. Q only
  3. They are equal.
  4. The event record cannot compare them.

Question 2

Calculate the count shown by the display for each trial. Use the display rule for each window.

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Question 3

A student says the original display proves that Q underwent twice as many decays. Explain why the display does not support that conclusion.

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The class repeats P with half-second windows. Each pair of events in the original record falls in different halves of its second.

Question 4

Predict the new displayed total. Explain why changing the window can change that total while the simulated decays stay the same.

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