The ratio of Young's modulus of the material of two wires is 2 : 3. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be
Correct answer: A. 3 : 2
- A. 3 : 2
- B. 2 : 3
- C. 3 : 4
- D. 4 : 3
Explanation
The elastic energy per unit volume (u) is given by the formula u = (1/2) * stress2 / Young's modulus. Since the same stress is applied to both wires, the energy depends inversely on Young's modulus. Thus, if the ratio of Young's modulus is 2:3, the ratio of elastic energy per unit volume will be the inverse, which is 3:2. Therefore, Option A is correct. Options B, C, and D are incorrect because they either assume a direct relationship or provide a ratio that doesn't align with the inverse relationship.
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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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