Dimension of modulus of elasticity
Correct answer: B. [ML^-1T^-2]
- A. [MLT^ -2]
- B. [ML^-1T^-2]
- C. [MLA-1T^21
- D. [M^-2L^-2T^-1]
Explanation
The modulus of elasticity is defined as the ratio of stress to strain.* Stress is defined as force per unit area, with dimensions (ML^-1T^-2),* Strain is dimensionless, being the ratio of change in length to the original length.Therefore, the dimension of modulus of elasticity, being the ratio of stress (with dimensions [ML^-1T^ -2]) to strain (dimensionless), inherits the dimensions of stress, which are [ML^-1T^-2]
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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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