If S is strain and Y is Young's modulus of elasticity of wire material, then energy stored in the wire per unit volume is
Correct answer: A. s2 /2y
- A. s2 /2y
- B. 2y/s2
- C. s/2y
- D. 2s2y
Explanation
The energy stored per unit volume in a wire under elastic deformation is given by the formula U = (1/2) * Y * S2, where U is the energy per unit volume, Y is Young's modulus, and S is the strain. Rearranging this formula gives U = S2 / (2Y). The correct answer is thus s2 / 2y. Option B is incorrect because it inverts the relationship between Young's modulus and strain. Option C is incorrect because it does not square the strain, and Option D is incorrect because it incorrectly multiplies the variables.
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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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