What is the strain energy per unit volume of a rod made from this metal when the strain of the rod is 0.010?
Correct answer: D. 10 MJ m−3
- A. 10 kJ m−3
- B. 100 kJ m−3
- C. 1.0 MJ m−3
- D. 10 MJ m−3
Explanation
To calculate the strain energy per unit volume (also known as strain energy density), you use the formula: strain energy per unit volume = (1/2) × stress × strain.Given that the strain is 0.010, and assuming the stress is calculated using Young's modulus of the material (for example, 2 × 109 Pa), the calculation would be:strain energy per unit volume = (1/2) × (2 × 109 Pa) × 0.010 = 10 × 106 J m−3 = 10 MJ m−3Thus, the correct answer is 10 MJ m−3. All other options are incorrect because they either underestimate or overestimate the strain energy density based on improper calculations or incorrect assumptions.
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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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