NEET Physics · Medium

Mechanical Properties of Solids: Young's Modulus MCQ

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Young's ModulusMediumQuestion 6308

Question

Steel wire (L=1 m, r=0.5 mm, Y=2×10¹¹ Pa) loaded with 100 N. Extension:
  1. A
    0.636 mm
    Correct
  2. B
    0.318 mm
  3. C
    1.27 mm
  4. D
    6.36 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.