Answer: one quarter as much.
- A one quarter as much
- B twice as much
- C exactly the same
- D four times as much
Correct answer: A. one quarter as much
Explanation: ΔL ∝ 1/A ∝ 1/r², so doubling the radius reduces the extension to one quarter.
A typical stress-strain curve: the initial straight line (Hooke's Law region, slope = Young's modulus) ends at the elastic limit; beyond the yield point, deformation becomes permanent, peaking at the ultimate tensile strength before the wire finally fractures.
Concept context
Stress, strain, Hookes law, and the elastic moduli that describe how solids deform and recover under load.