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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⁻ÂČ.
    - Area has dimensions of LÂČ.
    - Therefore, tensile stress has dimensions of ML⁻ÂčT⁻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 ML⁻ÂčT⁻ÂČ.

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