JEE Physics · Hard

Elasticity, Thermal Expansion, Calorimetry and Heat Transfer: Elastic PE MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Elastic PEHardQuestion 30883

Question

For a wire of cross section A and length L under stress σ, the elastic potential energy stored is:
  1. A
    σ²AL/(2Y)
    Correct
  2. B
    σAL/Y
  3. C
    σ²AL/Y
  4. D
    2σ²AL/Y

Correct answer

σ²AL/(2Y)

Explanation

Energy per unit volume = σ²/(2Y). Volume = AL. Total U = σ²AL/(2Y).