Moderate

What will be energy stored in a strained wire?

Correct answer: A. 1/2 × Load × Extension

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

Explanation

The energy stored in a strained wire is given by the formula 1/2 × Load × Extension. This formula is derived from the work done on the wire, which is the integral of force over distance. Option A correctly represents this relationship. In contrast, Option B represents the energy density, which is suitable for understanding the energy per unit volume within the material, not the total energy stored. Options C and D incorrectly relate the variables, as they fail to incorporate the correct physical relationships necessary for calculating the total energy stored in the wire.

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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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