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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About Physics of Solids
Solids are compared through crystal structure, amorphous arrangement, elasticity, plastic deformation, stress, strain and Young’s modulus. Electrical behavior depends on available charge carriers and band structure, so conductors, insulators and semiconductors must be distinguished from mechanical properties such as strength, stiffness and brittleness.
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