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Question 30881
JEE Physics · Hard

Elasticity, Thermal Expansion, Calorimetry and Heat Transfer: Elasticity Advanced MCQ

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Elasticity AdvancedHardQuestion 30881

Question

A wire of length L, radius r, Young's modulus Y is bent into a semicircle. Strain at outer surface (radius of curvature R) is approximately:
  1. A
    r/R
    Correct
  2. B
    r/(2R)
  3. C
    2r/R
  4. D
    r/L

Correct answer

r/R

Explanation

For bending, longitudinal strain at distance r from neutral axis = r/R (radius of curvature). This gives the bending stress formula.

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