NEET Physics — Mechanical Properties of Solids

What is the primary reason solids are far less compressible than gases?

A brass wire of length 1.5 m and cross-sectional area 2.5 × 10^{-6} m^{2} is stretched by a force of 150 N. If the elongation is 0.25 mm, what is the Young's modulus of brass?

A water sample of volume $2.5 \, \text{litres}$ is compressed by a pressure of $2 \times 10^6 \, \text{N/m}^2$. If the bulk modulus of water is $2.2 \times 10^9 \, \text{N/m}^2$, what is the fractional change in volume?

An aluminium wire of length $2.3 \, \text{m}$ and cross-sectional area $1.5 \times 10^{-6} \, \text{m}^2$ is stretched by a force producing a stress of $2 \times 10^7 \, \text{N/m}^2$. If the Young's modulus of aluminium is $7 \times 10^{10} \, \text{N/m}^2$, what is the strain?

A glass slab of volume $0.02 \, \text{m}^3$ is subjected to a hydraulic pressure of $4 \times 10^6 \, \text{N/m}^2$. If the bulk modulus of glass is $3.7 \times 10^{10} \, \text{N/m}^2$, what is the fractional change in volume?