A Levels Physics (9702)•9702/12/O/N/22

Explanation
Strain from stress and Young's modulus Steps:
- Tensile force F is known and acts within the limit of proportionality, so Hooke's law applies.
- Stress σ = F / A, where A is the cross-sectional area.
- Young's modulus E = σ / ε, so strain ε = σ / E = (F / A) / E = F / (E A).
- Measure A and use known E to compute ε.
Why B is correct:
- Strain ε = F / (E A); with F known, measuring A and using material property E enables direct calculation via the definition of Young's modulus.
Why the others are wrong:
- A: Provides A for stress σ = F / A but lacks E to find ε = σ / E.
- C: Provides E but lacks A to find σ = F / A, so ε cannot be computed.
- D: Provides A for σ but lacks E to find ε = σ / E; stretched length adds no value for strain.
Final answer: B
Topic: Stress and strain
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