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Following Color Through Two Model Beams 4 questions

Following Color Through Two Model Beams

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A classroom display sends two beams into the same detector. The detector has independent channels for red and blue light. Its counts for each color add when the beams are combined. A clear model filter can reduce one color in one beam before combination.

BeamRed counts in one secondBlue counts in one second
P124
Q313

Question 1

How many blue counts should the detector record in one second with both beams and no filter?

  1. 4
  2. 13
  3. 15
  4. 17

A filter in beam Q passes half of its blue signal and all of its red signal. In the model, the indicator turns on only when the expected rates are at least 11 red counts/s and at least 11 blue counts/s.

Question 2

Calculate the two expected detector rates with the filter in beam Q. Treat the expected rates as averages over repeated measurements.

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Question 3

Use the expected rates to determine whether the filtered combined beam meets both indicator conditions.

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Question 4

If the same filter moves from beam Q to beam P, predict whether the indicator conditions will be met. Explain what changes about the blue rate.

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