The dimension of young s modulus E is given by - 768 - JAMB Physics 2024 Question
The dimension of young's modulus,E is given by
A
MLT\(^{-1}\)
B
MT\(^{-2}\)
C
ML\(^{-1}\)T\(^{-2}\)
D
M\(^{-1}\)T
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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 MLT⁻²/L² = 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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