Which of the following statements is incorrect?

Options

A. Young's modulus and shear modulus are relevant only for solids.
B.  Bulk modulus is relevant for solids, liquids and gases.
C. Metals have larger values of Young's modulus than elastomers.
D. Alloys have larger values of Young's modulus than metals.

Explanation

To determine which statement is incorrect, let's analyze each statement one by one:

1. **Statement 1**: "Young's modulus and shear modulus are relevant only for solids."
- **Analysis**: This statement is correct. Young's modulus and shear modulus are measures of material stiffness and are defined for solids. Young's modulus relates to tensile stress and strain, while shear modulus relates to shear stress and strain, both of which are properties of solids.

2. **Statement 2**: "Bulk modulus is relevant for solid, liquid, and gases."
- **Analysis**: This statement is also correct. The bulk modulus measures a material's response to uniform pressure applied in all directions and is applicable to solids, liquids, and gases.

3. **Statement 3**: "Metals have larger value of Young's modulus than elastomers."
- **Analysis**: This statement is correct. Metals typically have a higher Young's modulus compared to elastomers (like rubber), meaning metals are stiffer and deform less under the same applied stress.

4. **Statement 4**: "Alloys have larger value of Young's modulus than metals."
- **Analysis**: This statement is incorrect. Generally, pure metals have a higher Young's modulus than their alloys. Alloys are often designed to improve other properties (like strength or corrosion resistance) but do not necessarily have a higher Young's modulus than the pure metals they are made from.

**Conclusion**: The incorrect statement is **Statement 4**: "Alloys have larger value of Young's modulus than metals."