What is the unit of the physical quantity "Young's modulus"?
- Anewton
- Berg
- Cjoule
- Dpascal
Solution & Step-by-step Explanation
Young's modulus (E) measures the tensile or compressive elasticity of a material. It is defined as the ratio of tensile/compressive stress (σ) to axial strain (ε):
E=
ε
σ
Stress (σ) has the unit of force per unit area (N/m
2
or Pascal).
Strain (ε) is a dimensionless quantity (ratio of change in length to original length).
Thus, the SI unit of Young's modulus is the same as that of stress and pressure, which is the pascal (Pa).
Newton: Unit of Force.
Joule & Erg: Units of Energy/Work (SI and CGS respectively).
E=
ε
σ
Stress (σ) has the unit of force per unit area (N/m
2
or Pascal).
Strain (ε) is a dimensionless quantity (ratio of change in length to original length).
Thus, the SI unit of Young's modulus is the same as that of stress and pressure, which is the pascal (Pa).
Newton: Unit of Force.
Joule & Erg: Units of Energy/Work (SI and CGS respectively).