Question Detail
Question
Calculate the change in length of the upper leg bone when a 70 kg man supports 62 kg of his mass on it. Bone length 40 cm, radius 2 cm, Young's modulus 9×10^9 N/m², g=9.8 m/s².
Correct Answer
Option C is the correct answer.
Detailed Explanation
Force F = 62×9.8 N. Area A = πr² = π(0.02)² = 0.001256 m². ΔL = (F L)/(A Y) = (62×9.8×0.4)/(0.001256×9e9) ≈ 0.000215 m ≈ 0.00015 m.
Hint
Use Young's modulus formula: stress = modulus × strain.