Step 1: Understanding the Concept:
The modulus of elasticity is a fundamental material property that measures a solid's stiffness or resistance to elastic deformation under load.
It is defined as the ratio of tensile or compressive stress to the corresponding strain within the elastic limit.
Step 2: Detailed Explanation:
In solid mechanics, when a material is subjected to axial tension or compression, the relationship between stress ($\sigma$) and strain ($\epsilon$) is described by Hooke's Law:
\[ \sigma = E \epsilon \]
The proportionality constant $E$ is the modulus of elasticity, which is commonly referred to as Young's modulus.
- Bulk's modulus (Bulk modulus, $K$) measures a material's resistance to uniform volume change under hydrostatic pressure.
- Brik's modulus and Tian's modulus are not standard mechanical properties.
Therefore, the modulus of elasticity is also known as Young's modulus.
Step 3: Final Answer
The correct option is (C).