Young's ModulusMediumQuestion 6308
Question
Steel wire (L=1 m, r=0.5 mm, Y=2×10¹¹ Pa) loaded with 100 N. Extension:
- A0.636 mmCorrect
- B0.318 mm
- C1.27 mm
- D6.36 mm
Correct answer
0.636 mm
Explanation
ΔL = FL/AY = 100×1/(π×0.25×10⁻⁶×2×10¹¹) = 100/(π×5×10⁴) ≈ 100/157080 ≈ 0.636 mm.