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About Physics-Bench

Physics-Bench extends our bottom-up knowledge-graph reasoning evaluation to physics. The suite contains 500 validated multiple-choice problems — a fully balanced grid of 5 hop depths × 20 topical clusters × 5 questions each. Every item is grounded in an explicit knowledge path: a chain of physics equations that composes the derivation from givens to the numerical answer.

Because the dataset is fully curated and compact, every hop bin is always available — no weekly rotation. Pick a k-hop reasoning level and take the full 100-question quiz for that hop whenever you visit.

K-Hop Reasoning Levels

1-Hop

Single-equation derivation (e.g. v = v₀ + at)

2-Hop

Two-equation composition (e.g. compute velocity then momentum)

3-Hop

Three-step derivations combining kinematic, dynamical, or energetic quantities

4-Hop

Four-step chains spanning multiple sub-topics within a cluster

5-Hop

Deep five-step compositions that stress multi-concept integration

500 Questions

100 per hop · 25 per cluster · 20 clusters spanning classical → quantum

Physics Clusters

Physics-Bench spans 20 clusters across classical mechanics, thermodynamics, electromagnetism, waves & optics, and modern physics:

• Kinematics & Motion
• Force & Newton’s Laws
• Work & Energy
• Momentum & Center of Mass
• Rotation & Angular Mechanics
• Equilibrium, Elasticity & Gravitation
• Fluids & Oscillations
• Waves & Sound
• Temperature & Heat
• Entropy & Thermodynamics
• Electrostatics
• Capacitance, Current & Resistance
• DC Circuits
• Magnetic Fields & Currents
• Induction, AC Circuits & Maxwell’s Equations
• Electromagnetic Waves & Optics
• Interference & Diffraction
• Relativity
• Photons, Matter Waves & Quantum Atoms
• Nuclear, Solids & Particle Physics

How to Use

1

Pick a K-Hop Reasoning Level

Choose any of the 1-Hop through 5-Hop bins. Each selection runs a 100-question session drawn from that hop’s pool across all 20 clusters.

2

Solve Multiple-Choice Problems

Each item is a four-option physics question with numerical answer choices grounded in a real equation chain.

3

Inspect the Knowledge Path

After each answer we visualise the k-step equation chain that composes the derivation, plus the exact numerical solution.

4

Track Your Progress

Monitor your running score and per-hop performance as you work through the 100 items per hop.


Physics-Bench Quiz

Pick a k-hop reasoning level. Each selection runs a full 100-question session for that hop, drawn from 20 physics clusters (Kinematics, Electromagnetism, Thermodynamics, Quantum, and more).

Every hop bin has 100 validated physics problems (5 questions per each of 20 clusters). All items are always available — no weekly rotation.