Elastic Behaviour of Solids — Prelims Questions

A steel wire of length $2\,\text{m}$ and cross-sectional area $1.0 \times 10^{-6},\text{m}^2$ is stretched by a force of $100\,\text{N}$. If the Young's modulus of steel is $2.0 \times 10^{11},\text{N/m}^2$, what is the extension produced in the wire?

Which of the following statements is INCORRECT regarding the stress-strain curve for a ductile material?

An ideal fluid is compressed by a pressure of $2.0 \times 10^5\,\text{Pa}$. If its initial volume is $0.5\,\text{m}^3$ and its Bulk Modulus is $1.0 \times 10^{10},\text{Pa}$, what is the change in volume of the fluid?

A wire is stretched by a force $F$, causing an extension $\Delta L$. If the same wire is stretched by a force $2F$, what is the ratio of the elastic potential energy stored in the second case to the first case?

Which of the following materials is an elastomer?

A metal cube of side $10\,\text{cm}$ is subjected to a shearing force of $1000\,\text{N}$ on its upper surface, while its lower surface is fixed. If the top surface is displaced by $0.1\,\text{mm}$ relative to the bottom, what is the shear modulus of the material?