If S is strain and Y is Young's modulus of elasticity of wirematerial, then energy stored in the wire per unit volume is:
Correct answer: A. s²/2y
- A. s²/2y
- B. 2y/s²
- C. s/2y
- D. 2s²y
Explanation
The energy stored per unit volume in a wire under elasticdeformation is given by the formula U = (1/2) ×Y ×S2, whereU is the energy per unit volume, Y is Young's modulus, and Sis the strain. Rearranging this formula gives U = S2 / (2Y).The correct answer is thus s² / 2y.
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