Question on: JAMB Physics - 2024
The dimension of Young's modulus, E is given by
A
MLT-1
B
MT-2
C
ML-1T-2
D
M-1T
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Correct Option: C
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 MLT⁻².
- Area has dimensions of L².
- Therefore, tensile stress has dimensions of ML⁻¹T⁻².
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 ML⁻¹T⁻².
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