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46 topic sets · 184 original multipart FRQs · four reasoning modes

AP Physics 2 FRQ Practice by Topic 2027

Every topic has four substantial free-response tasks: Mathematical Routines, Translation Between Representations, Experimental Design and Analysis, and Qualitative/Quantitative Translation. Select one topic, write the response before opening guidance, then use the evidence checklist or self-grader to find what your reasoning is missing.

184topic FRQs4 × 46 topics

What do the four AP Physics 2 FRQ practice modes test?

The four sets force you to calculate, translate representations, design/analyze experiments, and connect qualitative predictions to quantitative relationships. That prevents FRQ practice from becoming four copies of the same algebra problem.

Mathematicalderive, calculate, compare and check
Representationsdiagram ↔ graph ↔ equation ↔ words
Experimentvariables, controls, graph, uncertainty, evidence
Qual + Quantpredict first, justify, then determine a factor/ratio
Choose a four-FRQ topic set

One topic at a time keeps the page focused

Lesson pages link directly to the matching set; the base FRQ page remains a directory rather than rendering all 184 prompts at once.

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Topic 15.1 · Unit 15 · 4 FRQs

Quantum Theory and Wave-Particle Duality FRQ Set

Quantum theory is needed when classical models fail at atomic and subatomic scales: light carries discrete photon energy and momentum, while material particles can show wave behavior with a de Broglie wavelength.

Model boundary to keep visible

Do not interpret a matter wave as a classical material wave. Quantum theory becomes important when the relevant de Broglie wavelength is comparable to the system scale; bound-system energies can be discrete.

FRQ 1 · Mathematical RoutinesPractice target: ~20–25 min

Situation: A student analyzes this Quantum Theory and Wave-Particle Duality situation: Electron diffraction from a crystal or slit pattern provides evidence that material particles can show wave behavior.

  1. State the governing model and define the system or physical quantities that matter.
  2. Starting from E = hf, derive a symbolic expression for a requested target quantity before substituting numbers.
  3. Explain how the result changes when one relevant variable is multiplied by a factor while the other model conditions remain fixed.
  4. Give one units, sign/direction, limiting-case or order-of-magnitude check that could expose an incorrect result.
Draft not saved yet.
Open reasoning and scoring evidence
  1. The response must select E = hf only when photon energy or an energy transfer involving one photon.
  2. Symbols should be consistent with: E photon energy (J); h Planck constant (J·s); f photon frequency (Hz).
  3. The proportional comparison must follow the functional dependence of the selected relationship rather than an unrelated equation.
  4. The final check must be physically interpretable, not just a calculator repeat.
Physics modelCorrect system, principle, assumptions and relationship.
RepresentationDiagram, graph, table or equation actually supports the claim.
Evidence & unitsQuantities, signs, units, trends and experimental evidence are consistent.
CommunicationReasoning explicitly connects evidence to the conclusion.
FRQ 2 · Translation Between RepresentationsPractice target: ~20–25 min

Situation: Consider A photon interacting with matter transfers energy and momentum in discrete interactions rather than as an arbitrarily divisible classical packet. The same physics must be represented verbally, graphically and mathematically.

  1. Draw or describe a labeled physical representation showing the important objects, directions, boundaries or measured quantities.
  2. Sketch the graph or spatial representation that best displays the predicted behavior; label axes, signs and important features.
  3. Write a relationship consistent with the representation, using pγ = h/λ when its condition “photon momentum and momentum-transfer reasoning” is satisfied.
  4. Explain one explicit connection among the diagram/graph, the equation and the physical meaning of photon.
Draft not saved yet.
Open reasoning and scoring evidence
  1. The representation must encode the actual physical situation rather than act as decoration.
  2. Graph features such as slope, area, intercept, curvature, maxima/minima or direction must be linked to the relevant model.
  3. A valid equation must use variables/units consistently: pγ photon momentum (kg·m/s); h Planck constant; λ photon wavelength (m).
  4. photon means a massless, electrically neutral quantum of electromagnetic radiation whose energy is proportional to frequency; the explanation should use that meaning to connect the representations.
Physics modelCorrect system, principle, assumptions and relationship.
RepresentationDiagram, graph, table or equation actually supports the claim.
Evidence & unitsQuantities, signs, units, trends and experimental evidence are consistent.
CommunicationReasoning explicitly connects evidence to the conclusion.
FRQ 3 · Experimental Design and AnalysisPractice target: ~20–25 min

Situation: Design an investigation for this target: Use photon-energy or electron-diffraction data to compare wave and particle predictions; vary frequency or particle momentum and test the predicted inverse/direct relationships.

  1. State the independent variable, dependent variable and at least two quantities that must be controlled or measured.
  2. Describe a feasible apparatus/procedure that produces repeated measurements across a useful range of the independent variable.
  3. Choose a graph or linearization whose slope/intercept/shape tests a relationship such as λdB = h/p and explain the expected trend.
  4. Explain how repeats, uncertainty and one plausible systematic effect influence the strength of the conclusion.
Draft not saved yet.
Open reasoning and scoring evidence
  1. The procedure must vary one intended cause while controlling plausible competing causes.
  2. Measurements must be sufficient to test a relationship rather than produce one isolated value.
  3. The graph choice must follow the expected functional dependence and connect a graph feature to a physical quantity.
  4. Uncertainty discussion must affect the evidence claim; simply saying “human error” is not enough.
Physics modelCorrect system, principle, assumptions and relationship.
RepresentationDiagram, graph, table or equation actually supports the claim.
Evidence & unitsQuantities, signs, units, trends and experimental evidence are consistent.
CommunicationReasoning explicitly connects evidence to the conclusion.
FRQ 4 · Qualitative / Quantitative TranslationPractice target: ~20–25 min

Situation: Compare two valid Quantum Theory and Wave-Particle Duality scenarios based on Electron diffraction from a crystal or slit pattern provides evidence that material particles can show wave behavior. In the second scenario, one relevant variable changes while the model remains valid.

  1. Predict whether the target physical quantity increases, decreases or remains unchanged before doing algebra.
  2. Justify the prediction using the physical meaning of photon momentum (the momentum carried by a photon, with magnitude h/λ).
  3. Use E = hf or another appropriate relationship from this topic to determine a symbolic factor or ratio.
  4. State the model boundary that must remain satisfied: Do not interpret a matter wave as a classical material wave. Quantum theory becomes important when the relevant de Broglie wavelength is comparable to the system scale; bound-system energies can be discrete.
Draft not saved yet.
Open reasoning and scoring evidence
  1. The qualitative prediction should appear before the quantitative calculation and should not depend on hindsight.
  2. The justification must name a physical cause/model, not simply restate that one variable became larger or smaller.
  3. The symbolic ratio must follow the correct functional dependence and preserve what is held fixed.
  4. A complete answer states the boundary/assumption so the comparison is not overgeneralized.
Physics modelCorrect system, principle, assumptions and relationship.
RepresentationDiagram, graph, table or equation actually supports the claim.
Evidence & unitsQuantities, signs, units, trends and experimental evidence are consistent.
CommunicationReasoning explicitly connects evidence to the conclusion.
After all four responses

Use the FRQ Self-Grader to check evidence quality, then switch to a different topic or a full model exam. Do not improve the response merely by copying phrases from the scoring guide.

AP Physics 2 FRQ practice questions

How many FRQs are available per topic?

Four original multipart FRQs per topic, for 184 topic FRQs across all 46 topics.

Why are there four different FRQ modes?

They deliberately exercise different physics actions: mathematical reasoning, representation translation, experimental/data reasoning and qualitative-to-quantitative reasoning.

Should I open the reasoning guide while writing?

No. Finish a defensible response first. Open the guide only after you have committed to your model, representation and evidence.

Are drafts uploaded or stored on a server?

No server submission is used. The optional response workspace stores drafts only in your own browser when local storage is available.

How should I score my response?

Use the task-specific reasoning guide plus the separate FRQ Self-Grader. Look for explicit evidence, not just a correct final number.

When should I move to full practice exams?

After you can produce complete topic-level responses without relying on the guide. Full exams test whether you can identify the model without a topic heading.