The work done in stretching an elastic wire per unit volume is or strain energy in a stretched string is

Correct answer: C. 1/2 × Strain × Stress

  • A. Stress × Strain
  • B. 2 × Stress × Strain
  • C. 1/2 × Strain × Stress
  • D. Stress/Strain

Explanation

The correct answer is 1/2 × Strain × Stress. This formula is derived from the work done on an elastic wire or material. When a material is deformed elastically, the work done is stored as strain energy, and the correct calculation involves multiplying stress by strain and then taking half of that product. The factor of 1/2 comes from the average value of stress over the deformation process.

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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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