STATEMENT - 1 : The value of modulus of elasticity depends on the magnitude of the stress and strain
and
STATEMENT - 2 : A given material have different moduli of elasticity depending on the type of stress applied.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-2
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-2
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To solve the problem, we need to evaluate the two statements regarding the modulus of elasticity.

### Step 1: Analyze Statement 1
**Statement 1:** The value of modulus of elasticity depends on the magnitude of the stress and strain.

- The modulus of elasticity is defined as the ratio of stress to strain within the elastic limit of a material. However, it is a material property and remains constant for a given material under normal conditions.
- It does not change with the magnitude of stress and strain applied to the material. Therefore, this statement is **false**.

### Step 2: Analyze Statement 2
**Statement 2:** A given material has different moduli of elasticity depending on the type of stress applied.

- This statement is true. Different types of stress result in different moduli of elasticity:
- **Young's Modulus** is used for tensile or compressive stress.
- **Shear Modulus** is used for shear stress.
- **Bulk Modulus** is used for volumetric stress.
- Hence, the modulus of elasticity does depend on the type of stress applied, making this statement **true**.

### Step 3: Conclusion
Based on the analysis:
- **Statement 1 is False.**
- **Statement 2 is True.**

Thus, the correct option is that Statement 1 is False and Statement 2 is True.

### Final Answer:
- Statement 1: False
- Statement 2: True