When a force is applied at one end of an elastic wire, it produces a strain e in the wire. If Y is the Young's modulus of the material of the wire, the amount of energy stored per unit volume of the wire is given by:
Correct answer: D. 1/2Ye²
- A. Ye
- B. Ye²
- C. 1/2Ye
- D. 1/2Ye²
Explanation
The energy stored per unit volume in an elastic material is given by the formula 1/2 * stress * strain. In this case, stress is given by Young's modulus (Y) times strain (e). Therefore, the energy stored per unit volume is 1/2 * Y * e^2.
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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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