In a wire stretched by hanging a weight from its end, the elastic potential energy per unit volume in terms of longitudinal strain σ and modulus of elasticity Y is:
Correct answer: A. Yσ²/2
- A. Yσ²/2
- B. Yσ/2
- C. 2Yσ²/2
- D. Y²σ/2
Explanation
The elastic potential energy per unit volume in a stretched wire can be expressed in terms of the longitudinal strain σ and the modulus of elasticity, or Young's Modulus, Y. The formula is derived from the basic relationship of potential energy in elastic deformation. This accounts for the fact that energy stored is proportional to the square of the strain. The correct option is Option A, Yσ²/2. Options B, C, and D are incorrect as they either omit necessary components or misconfigure the relationship between these variables.
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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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