The product of dimensions of Young's modulus and stress are:
Correct answer: C. [ML-1T-2]
- A. [ML2T-1]
- B. [ML-1T2]
- C. [ML-1T-2]
- D. [ML2T-3]
Explanation
The formula for Young's Modulus is:Where E is Young's Modulus/pressureσ is stress/ force per unit areaΜ is strain/ proportional deformationIf you observe the formula, strain is the ratio of the same dimensions. Hence, strain is a dimensionless quantity.Therefore, Young's modulus has the same dimensions that stress has.[ML−1T−2]
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About Physics of Solids
Solids are compared through crystal structure, amorphous arrangement, elasticity, plastic deformation, stress, strain and Young’s modulus. Electrical behavior depends on available charge carriers and band structure, so conductors, insulators and semiconductors must be distinguished from mechanical properties such as strength, stiffness and brittleness.
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