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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