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Checking Two Filters in One Light Path 5 questions

Checking Two Filters in One Light Path

Base your answers on the information provided and your knowledge of chemistry. Use the 2025 Chemistry Reference Tables as needed.

A lamp sends 100 units of light in band A and 100 units in band B toward two filter sheets. A sheet passes the stated fraction of the light reaching it in each band. In the independent-filter model, stacking sheets does not change either sheet’s own fraction.

FilterFraction of band A passedFraction of band B passed
P0.800.50
Q0.500.80

Question 1

With P first and Q second, how much band A light reaches Q?

  1. 20 units
  2. 40 units
  3. 50 units
  4. 80 units

Question 2

Calculate the amount of each band reaching the detector after both sheets.

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Question 3

A student says putting Q first will make band B brighter at the detector. Evaluate the claim in the independent-filter model.

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A stack trial gives 40 units in band A and 30 units in band B. A lamp check verifies the original input, and each sheet still gives the listed readings when tested by itself.

Question 4

Which part of the stack result conflicts with the independent-filter model? Explain why the final reading alone cannot locate the discrepancy within the stack.

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The class adds a probe between P and Q. The probe does not change the light path. It records 50 band B units reaching Q while the final detector still records 30.

Question 5

Calculate the fraction of the incoming band B light that gets past the second stage. Use it to identify where the measured light differs from the model.

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