Question on: JAMB Physics - 2024
The dimension of Young's modulus, E is given by
MLT-1
MT-2
ML-1T-2
M-1T
Young's modulus (E) is defined as the ratio of tensile stress to tensile strain.
1. Tensile stress is force per unit area, which has dimensions of Force/Area.
- Force has dimensions of MLTâ»ÂČ.
- Area has dimensions of LÂČ.
- Therefore, tensile stress has dimensions of MLâ»ÂčTâ»ÂČ.
2. Tensile strain is a dimensionless quantity (change in length/original length).
3. Since Young's modulus is stress/strain, and strain is dimensionless, the dimensions of Young's modulus are the same as the dimensions of stress. Thus, Young's Modulus (E) has the dimensions of MLâ»ÂčTâ»ÂČ.
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