NEET Physics — Mechanical Properties of Solids

Which modulus describes a material’s resistance to volume change under uniform pressure in all directions?

A steel wire of length $2.2 \, \text{m}$ and cross-sectional area $2.5 \times 10^{-6} \, \text{m}^2$ is stretched by a force of $250 \, \text{N}$. If the Young's modulus of steel is $2 \times 10^{11} \, \text{N/m}^2$, what is the strain?

An aluminium rod of length $1.2 \, \text{m}$ and cross-sectional area $2.5 \times 10^{-6} \, \text{m}^2$ is compressed by a force producing a strain of $2 \times 10^{-4}$. If the Young's modulus of aluminium is $7 \times 10^{10} \, \text{N/m}^2$, what is the stress?

A brass block of dimensions 0.3 m × 0.2 m × 0.1 m is subjected to a shearing force of 5 × 10^{4} N. If the shear modulus of brass is 3.6 × 10^{10} N/m^{2}, what is the displacement of the upper face?

A steel wire of length $2.4 \, \text{m}$ and cross-sectional area $4 \times 10^{-6} \, \text{m}^2$ is stretched by $0.6 \, \text{mm}$. If the Young's modulus of steel is $2 \times 10^{11} \, \text{N/m}^2$, what is the stress?