NEET Physics — Mechanical Properties of Solids

A copper block of dimensions \( 0.5 \, \text{m} \times 0.3 \, \text{m} \times 0.1 \, \text{m} \) is subjected to a shearing force of \( 6 \times 10^4 \, \text{N} \). If the shear modulus of copper is \( 4.2 \times 10^{10} \, \text{N/m}^2 \), what is the displacement of the top face?

A copper wire of length \( 2.2 \, \text{m} \) and cross-sectional area \( 1.8 \times 10^{-6} \, \text{m}^2 \) is stretched by a force of \( 180 \, \text{N} \). If the Young's modulus of copper is \( 1.1 \times 10^{11} \, \text{N/m}^2 \), what is the strain?

A water sample of volume \( 1.5 \, \text{litres} \) is compressed by a pressure of \( 3 \times 10^6 \, \text{N/m}^2 \). If the bulk modulus of water is \( 2.2 \times 10^9 \, \text{N/m}^2 \), what is the fractional change in volume?

A steel wire of length \( 3.0 \, \text{m} \) and cross-sectional area \( 2 \times 10^{-6} \, \text{m}^2 \) is stretched by a force of \( 200 \, \text{N} \). If the Young's modulus of steel is \( 2 \times 10^{11} \, \text{N/m}^2 \), what is the elongation?

Which type of stress causes a change in the shape of a body without altering its volume?